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entitled 'Higher Education: Schools' Use of the Antitrust Exemption Has 
Not Significantly Affected College Affordability or Likelihood of 
Student Enrollment to Date' which was released on September 22, 2006. 

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Report to Congressional Committees: 

United States Government Accountability Office: 

GAO: 

September 2006: 

Higher Education: 

Schools' Use of the Antitrust Exemption Has Not Significantly Affected 
College Affordability or Likelihood of Student Enrollment to Date:  

GAO-06-963: 

GAO Highlights: 

Highlights of GAO-06-963, a report to congressional committees 

Why GAO Did This Study: 

In 1991 the U.S. Department of Justice sued nine colleges and 
universities, alleging that they had restrained competition by making 
collective financial aid determinations for students accepted to more 
than one of these schools. Against the backdrop of this litigation, 
Congress enacted a temporary exemption from antitrust laws for higher 
education institutions in 1992. The exemption allows limited 
collaboration regarding financial aid practices with the goal of 
promoting equal access to education. The exemption applies only to 
institutional financial aid and can only be used by schools that admit 
students without regard to ability to pay. 

In passing an extension to the exemption in 2001, Congress directed GAO 
to study the effects of the exemption. GAO examined (1) how many 
schools used the exemption and what joint practices they implemented, 
(2) trends in costs and institutional grant aid at schools using the 
exemption, (3) how expected family contributions at schools using the 
exemption compare to those at similar schools not using the exemption, 
and (4) the effects of the exemption on affordability and enrollment. 
GAO surveyed schools, analyzed school and student-level data, and 
developed econometric models. GAO used extensive peer review to obtain 
comments from outside experts and made changes as appropriate. 

What GAO Found: 

Twenty-eight schools—all highly selective, private 4-year 
institutions—formed a group to use the antitrust exemption and 
developed a common methodology for assessing financial need, which the 
group called the consensus approach. The methodology used elements 
already a part of another need analysis methodology; schools modified 
this methodology and reached agreement on how to define those elements. 
By the 2004-2005 school year, 25 of 28 schools in the group were using 
the consensus approach. Schools’ implementation of the approach varied, 
however, with officials from 12 of the 25 schools reporting that they 
partially implemented it, in part because they believed it would be 
costly to do so. 

Over the last 5 years, tuition, room, and board costs among schools 
using the antitrust exemption increased by 13 percent compared to 7 
percent at all other private 4-year schools not using the exemption. 
While the amount of institutional aid at schools using the exemption 
also increased—it did so at a slower rate. The average institutional 
grant aid award per student increased by 7 percent from $18,675 in 2000-
2001 to $19,901 in 2005-2006. 

There was virtually no difference in the amount students and their 
families were expected to pay between schools using the exemption and 
similar schools not using the exemption. While officials from schools 
using the exemption expected that students accepted to several of their 
schools would experience less variation in the amount they were 
expected to pay, GAO found that students accepted to schools using the 
exemption and comparable schools not using the exemption experienced 
similar variation in the amount they were expected to pay. Not all 
schools using the consensus approach chose to adopt all the elements of 
the methodology, a factor that may account for the lack of consistency 
in expected family contributions among schools using the exemption. 

Based on GAO’s analysis, schools’ use of the consensus approach did not 
have a significant impact on affordability—the amount students and 
families paid for college—or affect the likelihood of enrollment at 
those schools to date. While GAO found that the use of the consensus 
approach resulted in higher amounts of need-based grant aid awarded to 
some student groups compared to their counterparts at schools not using 
the consensus approach, the total amount of grant aid awarded was not 
significantly affected. It was likely that grant aid awards shifted 
from non-need-based aid, such as academic and athletic scholarships, to 
aid based on a student’s financial need. Finally, implementing the 
consensus approach did not increase the likelihood of low-income or 
minority students enrolling at schools using the consensus approach 
compared to schools that did not. 

The group of schools using the exemption reviewed this report and 
stated it was a careful and objective report. However, they had 
concerns about the data used in GAO’s econometric analysis, which GAO 
believes were reliable. 

[Hyperlink, http://www.gao.gov/cgi-bin/getrpt?GAO-06-963.] 

To view the full product, including the scope and methodology, click on 
the link above. For more information, contact Cornelia Ashby at (202) 
512-7215 or ashbyc@gao.gov. 

[End of section] 

Contents: 

Letter: 

Results in Brief: 

Background: 

Twenty-Eight Schools Used the Antitrust Exemption to Develop a Common 
Methodology for Assessing a Family's Financial Need: 

As the Cost of Attendance at Schools Using the Exemption Rose, the 
Amount of Institutional Grant Aid They Provided to Students Increased 
at a Slower Rate: 

Students Accepted to Both Schools Using the Exemption and Comparable 
Schools Had No Appreciable Difference in the Amount They Would Be 
Expected to Contribute Towards College: 

Implementation of a Common Methodology Has Not Significantly Affected 
Affordability or Enrollment at Schools Using the Exemption: 

Concluding Observations: 

Agency Comments: 

Appendix I: Statistical Analysis of Expected Family Contributions at 
Schools Using the Exemption and Comparable Schools: 

Appendix II: Econometric Analysis of Effects of the Higher Education 
Antitrust Exemption on College Affordability and Enrollment: 

Theories of the Effects of the Consensus Approach on Financial Aid: 

Sources of Data for the Model: 

Selection of Control Schools: 

Specifications of Econometric Models and Estimation Methodology: 

Estimation Results of the Effects of Attending Meetings and 
Implementing the Consensus Approach: 

Limitations of the Study: 

Appendix III: Classification of 1999-2000 Academic Year and Schools 
Only Attending the 568 Group Meetings: 

Does Academic Year 1999-2000 belong to the Pre-or Post-Consensus 
Approach Implementation Period? 

Do the Schools That Only Attended the 568 group Meetings belong to the 
Control or Treatment Group? 

Appendix IV: Comments from 568 Presidents' Group: 

Appendix V: Consultants and Peer Reviewers: 

Appendix VI: GAO Contact and Staff Acknowledgments: 

Bibliography: 

Tables: 

Table 1: Comparison of the Federal Methodology and the College Board's 
Base Institutional Methodology for Need Analysis: 

Table 2: Schools Using the Antitrust Exemption, as of May 2006: 

Table 3: Comparison of Consensus Approach Developed by Schools Using 
the Antitrust Exemption Compared to the College Board's Institutional 
Methodology: 

Table 4: Number of Schools That Did Not Implement Certain Consensus 
Approach Options in School Year 2005-2006: 

Table 5: Estimated Changes in Amount Paid, Financial Aid, and 
Enrollment at Schools Using the Consensus Approach Compared to Schools 
Not Using the Exemption: 

Table 6: Schools Included in Analysis of Effects of Exemption: 

Table 7: Summary Statistics of Expected Family Contributions: 

Table 8: Tests of Variations in Expected Family Contributions: 

Table 9: Control and Treatment Schools for Analyzing Effects of the 
Consensus Approach Implementation: 

Table 10: Summary Statistics of Variables Used in Regression Analysis, 
1995-1996 and 2003-2004: CA Schools: 

Table 11: Summary Statistics of Variables Used in Regression Analysis, 
1995-1996 and 2003-2004: Non-CA Schools: 

Table 12: CA and Non-CA Schools: Price and Financial Aid: 

Table 13: CA and Non-CA Schools--Financial Aid Applicants Only: Price 
and Financial Aid: 

Table 14: Regression Estimates of Effects of Consensus Approach 
Implementation on Price, Tuition, and Enrollment: 

Table 15: Regression Estimates of Effects of Consensus Approach 
Implementation on Financial Aid: 

Table 16: Estimates of Effects of Consensus Approach Implementation on 
Affordability and Enrollment in CA Schools Relative to Non-CA Schools: 

Table 17: Estimates of Affordability and Enrollment before the 
Consensus Approach Implementation for Particular Groups of Students in 
Both CA and Non-CA Schools: 

Table 18: Differential Effects of Consensus Approach Implementation on 
Affordability and Enrollment in CA Schools for Particular Groups of 
Students: 

Table 19: Comparison of Observed and Predicted Price and Financial Aid 
Variables in CA and Non-CA Schools: Pre--and Post--Consensus Approach 
Implementation Period: 

Figures: 

Figure 1: Determining a Student's Financial Need: 

Figure 2: Average Tuition, Fees, and Room and Board at Schools Using 
the Antitrust Exemption Compared to All Other Private 4-Year Not-For- 
Profit Schools and Comparable Schools, School Years 2000 to 2005: 

Figure 3: Percentage of Students at Schools Using the Antitrust 
Exemption Receiving Various Types of Institutional Grant Aid from 2000 
to 2006: 

Figure 4: Average Amount of Various Institutional Grant Aid Awards at 
Schools Using the Antitrust Exemption from 2000 to 2006: 

Abbreviations: 

CA: Consensus Approach: 

EFC: expected family contribution: 

IPEDS: Integrated Postsecondary Education Data System: 

MIT: Massachusetts Institute of Technology: 

NPSAS: National Postsecondary Student Aid Study: 

United States Government Accountability Office: 

Washington, DC 20548: 

September 21, 2006: 

Congressional Committees: 

In 1991, the U.S. Department of Justice sued nine colleges and 
universities, alleging that by collectively making financial aid 
determinations for students accepted to more than one of these schools, 
the schools had unlawfully conspired to restrain trade in violation of 
the Sherman Act. Specifically, Justice argued that by agreeing upon the 
amount of money that the families of admitted students would be 
expected to pay towards their student's education, these schools were 
engaging in price fixing. Justice and the schools ultimately reached 
settlements that ended these activities. These schools, which are among 
the nation's most prestigious private universities, had engaged in 
these activities for more than 30 years. 

Against the backdrop of this litigation, in 1992 Congress enacted a 
temporary exemption from the antitrust laws for higher education 
institutions that has been renewed several times and is set to expire 
in 2008. Under the exemption, schools are allowed a limited degree of 
collaboration on financial aid practices in the hope that it would 
further the government's goal of promoting equal access to educational 
opportunities for students, including low income and minority students. 
Under the exemption, schools that admit students without regard to 
ability to pay would be able to develop and use common principles of 
financial aid policies and make changes to formulas used to calculate 
financial aid awards, but not discuss specific students' awards. 
Specifically, such schools would be allowed to engage in the following 
joint practices: 

1. agreeing to award financial aid only on the basis of demonstrated 
financial need; 

2. using common principles of analysis for determining financial need; 

3. using a common aid application form; and: 

4. exchanging, through an independent third party, financial 
information submitted by students and their families. 

The exemption only applies to an institution's own aid. Federal aid, 
which is allocated based on a statutory formula, was not targeted by 
the exemption. Proponents of the exemption believe that common 
principles could lead to a more equitable allocation of aid, make 
attendance at schools using the exemption more affordable, and, in 
turn, increase enrollment of low income students at these schools. 
Moreover, proponents believe that allowing schools to use common 
principles for determining financial need should reduce variation among 
schools in what a family is expected to pay and enable students to 
choose a school without making cost the defining factor. On the other 
hand, some are concerned that exempting schools from antitrust laws 
would reduce competition. Specifically, with less competition, some 
students would pay more for college because their opportunities to 
consider price differences when choosing schools would be diminished. 

In passing the 2001 extension to the exemption, Congress directed GAO 
to study whether the exemption resulted in changes in the amount 
students and their families would pay for college. In response to this 
mandate, we determined: (1) how many schools used the exemption and 
what joint practices these schools implemented, (2) trends in cost of 
attendance and institutional grant aid at schools using the exemption, 
(3) how expected family contributions at schools using the exemption 
compare to those at similar schools that did not use the exemption, and 
(4) the effects of the exemption on affordability and enrollment. 

To determine the number of schools that made use of the exemption since 
1992, we reviewed literature and studies on the exemption, interviewed 
higher education associations, and reviewed documents that identified a 
group of schools that were using the exemption. We interviewed 
officials of these schools, reviewed reports of their activities, and 
collected information on their financial aid policies. To determine if 
other schools might have formed groups to participate in activities 
allowed under the exemption, we also surveyed selected similar schools 
and found no such other groups. 

To determine trends in cost of attendance--tuition, room, and board-- 
and institutional grant aid at the schools using the exemption, we 
collected data from them and supplemented it with information available 
from the U.S. Department of Education's Integrated Postsecondary 
Education Data System (IPEDS) for school years 2000-2001 through 2005- 
2006. We received data from 26 of the 28 schools using the exemption. 
We determined that the IPEDS and institutional data were sufficiently 
reliable and valid for purposes of our review. 

To determine how expected family contributions (EFC) at schools using 
the exemption compared to those at similar schools not using the 
exemption, we collected and compared student-level EFC data from both 
sets of schools as of April 1, 2006. To assess the extent of variation 
in EFC across multiple schools, we isolated the EFCs of individual 
students accepted at (1) multiple schools using the exemption, (2) 
multiple schools not using the exemption, and (3) both schools using 
the exemption and schools that did not. While EFC determinations of 
students accepted at both schools using the exemption and those that 
did not best show the extent of variation because it allows us to 
control for differences in student characteristics, this group of 
students was small. Thus, we supplemented our analysis with data from 
the other two groups listed. Based on our discussions with school 
officials on the steps taken to ensure reliability of the EFC data, we 
determined that the data were sufficiently reliable and valid for 
purposes of our review. See appendix I for further details of our 
statistical analysis. 

To assess the effects of the exemption on affordability and enrollment, 
we developed econometric models to examine the effects of the exemption 
on tuition, financial aid (including grants and loans), amount paid for 
college (measured by the total cost of attendance less total grant 
aid), and student enrollment at schools using the exemption. 
Determining "effect" requires both a treatment group (those schools 
using the exemption) and a control group (a comparable set of schools 
that did not use the exemption) as well as controlling for variations 
in the actions of the schools over time that are independent of the 
exemption. Differences found between the two groups in terms of 
affordability and enrollment (effects) can then be attributed to the 
exemption (treatment). GAO's econometric analysis was focused on the 
mandate from Congress that requires us to examine the effects of the 
exemption. It is different from a market-specific analysis conducted in 
an antitrust investigation and is not intended to address whether or 
not conduct may be taking place that might violate the antitrust laws 
in the absence of the exemption. In order to find a comparative set of 
schools, we used the U.S. News and World Report annual rankings of the 
"best colleges." We obtained school-level data from IPEDS and student- 
level data from the National Postsecondary Student Aid Study for 
academic years 1995-1996, 1999-2000, and 2003-2004. We also collected 
data from other sources, including a GAO survey of the schools using 
the exemption and the comparable schools. We analyzed whether there 
were any effects on affordability and enrollment at schools using the 
exemption for all students and whether there were differences by family 
income or race. We also controlled for other factors that could cause 
changes in affordability and enrollment, such as school or student 
characteristics. Because of data limitations, we were not able to 
include all schools using the exemption in the treatment group. 
Nevertheless, there were sufficient similarities between the excluded 
schools and the schools we included in our model to allow for a 
meaningful analysis. In developing the models, we reviewed several 
studies on the economics of higher education. We provided a detailed 
draft outline of our econometric methodology, including a description 
of the types and sources of data we used, to outside experts with whom 
we consulted on the design and analysis because of their in-depth 
knowledge of antitrust law and the economics of higher education. We 
also provided a draft of our report to peer reviewers in academia and 
incorporated their comments when appropriate. See appendixes II and III 
for a detailed explanation of our econometric analysis. We conducted 
our work in accordance with generally accepted government auditing 
standards between May 2005 and September 2006. 

Results in Brief: 

Twenty-eight schools--all highly selective, private 4-year 
institutions--formed a group to use the antitrust exemption, and of the 
four collaborative activities allowed, the group has engaged in only 
one--development of a common methodology for assessing financial need, 
which the group called the "consensus approach." With respect to the 
other three activities allowed under the exemption, the schools either 
chose not to engage in the activities or piloted them on a limited 
basis. For example, three schools in the group attempted to share 
student-level financial aid data through a third party. However, the 
schools reported that because the effort was too burdensome and yielded 
little useful information, they chose not to continue. The consensus 
approach to need analysis developed by the group is based on elements 
already a part of another need analysis methodology that considers a 
family's income and assets to determine a student's ability to pay for 
college. Schools modified some elements of that methodology and reached 
agreement on how to define those elements. Although schools in the 
group agreed to the concept of the consensus approach, the schools 
varied in their implementation of the methodology. Schools that 
partially implemented or did not implement the consensus approach often 
cited concerns about potential increased costs associated with 
implementing the methodology. Twenty five of the 28 schools implemented 
the consensus approach methodology; three did not. Schools that chose 
to use part or all of the elements of the consensus approach did so 
between 2002 and 2005. 

Over the last 5 years, tuition, room, and board costs at the group of 
schools using the exemption increased, and while the amount of grant 
aid these schools provided to students also increased, it did so at a 
slower rate. Between school years 2000-2001 and 2004-2005, tuition, 
room, and board increased by 13 percent, from $38,319 to $43,164, 
compared to a 7 percent increase at other private 4-year not-for-profit 
schools. Average institutional grant aid awards increased by 7 percent 
from $18,675 to $19,901 at schools using the exemption, and the 
percentage of students receiving such aid increased from 37 to 40 
percent, from school years 2000-2001 to 2005-2006. Among students 
receiving institutional grant aid awards, the percent of students who 
received need-based institutional grant aid at schools using the 
exemption increased from 34 to 36 percent, and the percent of students 
receiving non-need-based institutional grant aid awards (i.e., academic 
or athletic scholarships) also increased slightly from 2 to 4 percent. 

We found virtually no difference in the amounts students and their 
families were expected to pay at schools using the exemption compared 
to similar schools not using the exemption. Average expected family 
contribution (EFC) for students accepted at schools using the exemption 
was $27,166 and for those accepted at comparable schools not using the 
exemption was $27,395 in school year 2005-2006. While officials from 
schools using the exemption expected that students accepted to several 
of their schools would experience less variation in their EFC, we found 
that the variation in the EFC for a student who was accepted to several 
schools using the exemption was similar to the variation in EFC that 
same student received from schools not using the exemption. The 
variation in EFCs for these students was about $6,000 at both sets of 
schools. Not all schools using the consensus approach chose to adopt 
all the elements of the methodology, a factor that may account for the 
lack of consistency in EFCs among schools using the exemption. For 
example, seven schools chose not to use the consensus method for 
considering home equity that could have contributed to the variation in 
EFCs at schools using the exemption. 

Based on our analysis, schools' use of the consensus approach did not 
have a significant impact on affordability--the amount students and 
families paid for college, which is measured by the total cost of 
attendance less total grant aid--or affect the likelihood of enrollment 
at schools using the exemption. While we found that the use of the 
consensus approach resulted in higher amounts of need-based grant aid 
awarded to some student groups (middle income, Asian students, and 
Hispanic students) compared to their counterparts at schools not using 
the consensus approach, the total amount of grant aid awarded did not 
significantly change. It is likely that because the change in total 
grant aid was similar compared to the change at schools not using the 
consensus approach, the increase in need-based grant aid was offset by 
a decrease in non-need-based aid, such as academic scholarships. We 
also found that low income students at schools using the consensus 
approach, compared to those at schools not using the consensus 
approach, received a significantly higher amount of total aid, which 
includes both grants and loans. However, the amount of grant aid that 
these students received did not significantly change, which suggest 
they likely received more aid in the form of loans, which they would 
need to repay. Additionally, implementing the consensus approach did 
not affect the likelihood of low-income or minority students enrolling 
at schools using the consensus approach compared to schools that did 
not. Because we have data for only one year after implementation, it is 
possible that some eventual effects of the consensus approach may not 
be captured. The effects of using the consensus approach could be 
gradual, rather than immediate, and therefore may not be captured until 
later years. 

We provided the group of schools using the antitrust exemption, 
Secretary of Education, and Attorney General with a copy of our draft 
report for review and comments. The group of schools using the 
exemption reviewed a draft of this report and stated it was a careful 
and objective report, but raised concerns about the data used in our 
econometric analysis and the report's tone and premise. We believe that 
the data we used were reliable to support our conclusions. The group of 
schools using the exemption also provided technical comments, which we 
incorporated where appropriate. The group's written comments appear in 
appendix IV. The Department of Education reviewed the report and did 
not have any comments. The Department of Justice provided technical 
comments, which we incorporated where appropriate. 

Background: 

Legal History of Antitrust Exemption for Higher Education Institutions: 

In the early 1990's the U.S. Department of Justice (Justice) sued nine 
universities and colleges, alleging that their practice of collectively 
making financial aid decisions for students accepted to more than one 
of their schools restrained trade in violation of the Sherman 
Act.[Footnote 1] By consulting about aid policies and aid decisions, 
through what was known as the Overlap group, the schools made certain 
that students who were accepted to more than one Overlap school would 
be expected to contribute the same towards their education. Thus, 
according to Justice, "fixing the prices" students would be expected to 
pay. All but one school, Massachusetts Institute of Technology (MIT), 
settled with Justice out of court, ending the activities of the Overlap 
group. The District Court ruled that MIT's joint student aid decisions 
in the Overlap group violated the Sherman Act. On appeal, the Third 
Circuit Court of Appeals agreed with the District Court that the 
challenged practices were commercial activity subject to the antitrust 
laws. However, it reversed the judgment and directed the District Court 
to more fully consider the procompetitive and noneconomic 
justifications advanced by MIT during the court proceedings and whether 
social benefits attributable to the practices could have been achieved 
by means less restrictive of competition.[Footnote 2] In recognition of 
the importance of financial aid in achieving the government's goal of 
educational access, but also mindful of the importance of antitrust 
laws in ensuring the benefits of competition, the Congress passed a 
temporary antitrust exemption.[Footnote 3] In 1994, Congress extended 
the exemption and specified the four collective activities in which 
schools that admit students on a need-blind basis could 
engage.[Footnote 4] The exemption was extended most recently in 2001, 
and is set to expire in 2008.[Footnote 5] 

Determining a Student's Financial Need: 

For many students, financial aid is necessary in order to enroll in and 
complete a postsecondary education. In school year 2004-2005, about 
$113 billion in grant, loan, and work-study aid was awarded to students 
from a variety of federal, state, and institutional sources.[Footnote 
6] Need analysis methodologies are used to determine the amount of 
money a family is expected to contribute toward the cost of college and 
schools use this information in determining how much need-based 
financial aid they will award. For the purposes of awarding federal 
aid, expected family contribution (EFC) is defined in the Higher 
Education Act of 1965, as amended, as the household financial resources 
reported on the Free Application for Federal Student Aid, minus certain 
expenses and allowances. The student's EFC is then compared to the cost 
of attendance to determine if the student has financial need. (see fig. 
1): 

Figure 1: Determining a Student's Financial Need: 

[See PDF for image] 

Source: GAO analysis of the Higher Education Act. 

[End of figure] 

While the federal methodology is used to determine a student's 
eligibility for federal aid, some institutions use this methodology to 
award their own institutional aid. Others prefer a methodology 
developed by the College Board (called the institutional methodology) 
or their own methodology.[Footnote 7] Schools that use the 
institutional methodology require students to complete the College 
Scholarship Service/Financial Aid PROFILE application and the College 
Board calculates how much they and their families will be expected to 
contribute toward their education. Schools that use these alternative 
methodologies feel they better reflect a family's ability to pay for 
college because they consider many more factors of each family's 
financial situation than the federal methodology. For example, the 
institutional methodology includes home and farm equity when 
calculating a family's ability to pay for college, while the federal 
methodology excludes them. See table 1 below for a comparison of the 
federal methodology to the institutional methodology. 

Table 1: Comparison of the Federal Methodology and the College Board's 
Base Institutional Methodology for Need Analysis: 

Home equity; 
Federal methodology: Not included; 
Institutional methodology: Included. 

Family farm equity; 
Federal methodology: Not included; 
Institutional methodology: Included. 

Student assets; 
Federal methodology: Included, 35 percent of student's net worth 
expected to be used for college costs. Minimum contribution from 
student expected; 
Institutional methodology: Included, 25 percent of student's net worth 
expected to be used for college costs. Minimum contribution from 
student expected. 

Family assets; 
Federal methodology: Excluded the assets of families whose income fell 
below $50,000 and who filed a simple tax return; 12 percent of assets 
expected to be used towards college; 
Institutional methodology: Included a fuller range of family assets, 
such as home equity, other real estate, and business and farm assets; 5 
percent of assets expected to be used towards college. 

Divorced and separated families; (Noncustodial parent contribution); 
Federal methodology: Excluded noncustodial parent income and assets; 
Institutional methodology: Included noncustodial parent income and 
assets. 

Total income; 
Federal methodology: Included only the adjusted gross income reported 
on federal tax returns, plus various categories of untaxed income; 
Institutional methodology: Included in total income any untaxed income 
and any paper depreciation and business, rental, or capital losses that 
artificially reduced adjusted gross income. 

Medical/elementary and secondary school expenses; 
Federal methodology: Not included; 
Institutional methodology: Included.[A]. 

Cost of living variance; 
Federal methodology: Not included; 
Institutional methodology: Not included.[B]. 

Number of siblings in college; 
Federal methodology: Included--divides the parental contribution by the 
number of siblings enrolled in college; 
Institutional methodology: Included--instead of dividing by the number 
in college, parental contribution per student reduced by 40 percent for 
2 in college and by 55 percent for 3. 

Source: GAO analysis. 

Notes: The institutional methodology is the base one provided by the 
College Board to schools. A school may select other options available 
in the institutional methodology when assessing a student's financial 
need. 

[A] Elementary and secondary school expenses are an option that could 
be added by a school. 

[B] Cost of living variance is an option that could be used by a 
school. 

[End of table] 

Twenty-Eight Schools Used the Antitrust Exemption to Develop a Common 
Methodology for Assessing a Family's Financial Need: 

Twenty-eight schools formed a group under the antitrust exemption and 
engaged in one of the four activities allowable under the exemption. 
School officials believed that the one activity--development of a 
common methodology for assessing financial need--would help reduce 
variation in amounts students were expected to pay when accepted to 
multiple schools and allow students to base their decision on which 
school to attend on factors other than cost. In developing the common 
methodology, called the consensus approach, schools modified an 
existing need analysis methodology and reached agreement on how to 
treat each element of the methodology. While the schools reached 
agreement on a methodology, implementation of the methodology among the 
schools varied. 

Highly Selective Private4-Year Colleges and Universities Formed a Group 
to Participate in Activities Allowable under the Exemption: 

Twenty-eight schools, all of which have need-blind admission policies 
as required under the law, formed the 568 Presidents' Group in 1998 
with the intent to engage in activities allowed by the antitrust 
exemption.[Footnote 8] Members of the group are all private 4-year 
schools that have highly selective admissions policies. One member 
school dropped out of the group because the school no longer admitted 
students on a need-blind basis. (See table 2 below for a list of 
current and former member schools.) 

Table 2: Schools Using the Antitrust Exemption, as of May 2006: 

Amherst College: 
Boston College; 
Middlebury College: 
Northwestern University. 
Pomona College. 
Brown University
Claremont McKenna College; 
Rice University. 
Columbia University; 
Swarthmore College. 
Cornell University; 
University of Chicago. 
Dartmouth College; 
University of Notre Dame. 
Davidson College; 
University of Pennsylvania. 
Duke University; 
Vanderbilt University. 
Emory University; 
Wake Forest University. 
Georgetown University; 
Wellesley College. 
Grinnell College; 
Wesleyan University. 
Haverford College; 
Williams College. 
Massachusetts Institute of Technology; 
Yale University. 

Source: GAO analysis. 

Note: Bowdoin College and Macalester College were once members of the 
group. 

[End of table] 

Membership is open to colleges and universities that have need blind 
admissions policies in accordance with the law. Member schools must (1) 
sign a certificate of compliance confirming the institution's need- 
blind admissions policy and (2) submit a signed memorandum of 
understanding that indicates willingness to participate in the group 
and adhere to its guidelines. Additionally, members share in paying the 
group's expenses. 

In addition to the group's 28 members, 6 schools attended meetings of 
the group to observe and listen to discussions, but have not become 
members.[Footnote 9] In order to attend meetings, observer schools were 
required to provide a certificate of compliance stating that they had a 
need-blind admission policy. Observer schools explained that their 
participation was based on a desire to be aware of what similar schools 
were thinking in terms of need analysis methodology, as well as have an 
opportunity to participate in these discussions. Despite these 
benefits, observer schools said they preferred not to join as members 
because they did not wish to agree to a common approach to need 
analysis or they did not want to lose institutional independence. 

Other institutions with need-blind admissions reported that, although 
eligible to participate in activities allowed by the exemption, they 
were not interested or not aware of the group formed to use the 
antitrust exemption. Some told us that they did not understand how 
students would benefit from the schools' participation in such 
activities. Others cited limited funding to make changes to their need 
analysis methodology and concerns that they would lose the ability to 
award merit aid to students.[Footnote 10] 

Participating Schools Agreed to a Common Methodology for Assessing 
Financial Need, but Schools Varied in Their Implementation of the 
Methodology: 

Of the four activities allowed under the antitrust exemption, the 28 
schools engaged in only one--development of the consensus approach for 
need analysis. With respect to the other three activities allowed under 
the exemption, the schools either chose to not engage in the activities 
or piloted them on a limited basis. For example, three schools in the 
group attempted to share student-level financial aid data through a 
third party. However, they reported that because the effort was too 
burdensome and yielded little useful information, they chose not to 
continue. The group also expressed little need or interest in creating 
another common aid application form as such a form already existed. 
Schools also decided to leave open the option to award aid on a non- 
need basis. 

According to the officials representing the 28 schools, the main 
purpose of the group was to discuss ways to make the financial aid 
system more understandable to students and their families and commit to 
developing a common methodology for assessing a family's ability to pay 
for college, which they called the consensus approach. Developing an 
agreed upon common approach to need analysis, according to school 
officials, might help decrease variation in what families were expected 
to pay when accepted to multiple schools, allowing students to base 
their decision on what school to attend on factors other than cost. 
School officials also believed that agreeing to a common need analysis 
methodology would produce expected family contributions that were 
reasonable and fair for families and allow schools to better target 
need-based aid. The group did not address the composition of a 
student's financial aid package; specifically, what combination of 
grants, loans, or work-study a student would receive. 

In developing the consensus approach for need analysis, the schools 
modified elements already in the College Board's institutional 
methodology, but member schools agreed to treat these elements the same 
when calculating a student's EFC. Some of the modifications that the 
group made to College Board's institutional methodology were later 
incorporated into the institutional methodology. The consensus approach 
and the institutional methodology similarly treat income from the non- 
custodial parent, and both account for the number of siblings in 
college in the same manner when calculating a student's expected family 
contribution. However, there are differences in how each methodology 
treats a family's home equity and a student's assets. For example, the 
institutional methodology uses a family's entire home equity in its 
assessment of assets available to pay for college, while the consensus 
approach limits the amount of home equity that can be included. 
According to one financial aid officer at a member school, including 
the full amount of a family's home equity was unfair to many parents 
because in some areas of the country the real estate market had risen 
so rapidly that equity gains inflated a family's assets. Officials 
representing some member schools stated that adjustments to home equity 
would likely affect middle and upper income families more than lower 
income families who are less likely to own a home. Table 3 below 
further illustrates the differences and similarities between the 
consensus approach and the institutional methodology. 

Table 3: Comparison of Consensus Approach Developed by Schools Using 
the Antitrust Exemption Compared to the College Board's Institutional 
Methodology: 

Home equity; 
Institutional methodology: Included. No limit on amount considered 
asset available to pay for college; 
Consensus approach: Included. Home value is capped at 2.4 times income 
minus mortgage debt. 

Family farm equity; 
Institutional methodology: Included; 
Consensus approach: Included. 

Student and family assets; 
Institutional methodology: Included, but assets counted separately; 25 
percent of student's net worth expected to be used for college costs; 5 
percent of parent's assets expected to be used for college costs; 
Consensus approach: Included. In general student assets--such as 
prepaid and college savings plans are combined with family assets. 5 
percent of family assets expected to be used for college. Trust funds 
will be considered on a case by case basis. 

Divorced and separated families; (Noncustodial parent); 
Institutional methodology: Included. Expects noncustodial parent to 
contribute towards college costs; 
Consensus approach: Same as IM. 

Total income/adjusted gross income; 
Institutional methodology: Included in total income any untaxed income 
and any paper depreciation and business, rental, or capital losses 
which artificially reduced adjusted gross income; 
Consensus approach: Excluded business and rental losses from 
calculation of income. 

Medical/elementary and secondary school expenses; 
Institutional methodology: Included.[A]; 
Consensus approach: Included. 

Cost of living variance; 
Institutional methodology: Excluded.[B]; 
Consensus approach: Adjusted living expenses based on geographic 
location. Takes into consideration that it is more costly to live in 
some areas of the country. 

Number of siblings in college; 
Institutional methodology: Included-- considers number of children 
enrolled in college, but instead of dividing by the number in college, 
it reduced the parental contribution for each student by 40 percent if 
2 in college and by 55 percent if 3; 
Consensus approach: Same as IM. 

One-time income adjustment; 
Institutional methodology: Not included.[C]; 
Consensus approach: Excluded income that was not received on an annual 
basis, such as unemployment income or capital gains. 

Family debt; 
Institutional methodology: Not included; 
Consensus approach: Made allowance for debt payments on loans incurred 
by parents for student's education. 

Source: GAO analysis. 

Note: The consensus approach is being compared to the base 
institutional methodology. Schools may choose to implement other 
options available under the institutional methodology when assessing a 
student's financial need. 

[A] Private elementary and secondary school tuition allowed at the 
option of the institution. 

[B] As an option schools can adjust living expenses based on geographic 
locations. 

[C] This is not in the base IM; however, a financial aid officer can 
adjust for this on a case-by-case basis, consistent with professional 
judgment. 

[End of table] 

In addition, under the consensus approach schools agreed to a common 
calendar for collecting data from families. Members continue to 
maintain the ability to exercise professional judgment in assessing a 
family's ability to pay when there are unique or extenuating financial 
circumstances. 

Twenty-five of 28 schools implemented the consensus approach; 3 did 
not. While 13 schools implemented all the elements of the consensus 
approach, the remaining schools varied in how they implemented the 
methodology. As shown in table 4 below, seven schools chose not to use 
the consensus approach method for accounting for family loan debt, home 
equity, and family and student assets. 

Table 4: Number of Schools That Did Not Implement Certain Consensus 
Approach Options in School Year 2005-2006: 

Options in the consensus approach: Number of siblings in college; 
Number of schools that did not implement option[A]: 1. 

Options in the consensus approach: One-time income adjustments; 
Number of schools that did not implement option[A]: 2. 

Options in the consensus approach: Elementary and secondary school 
tuition expenses; 
Number of schools that did not implement option[A]: 3. 

Options in the consensus approach: Medical expenses; 
Number of schools that did not implement option[A]: 3. 

Options in the consensus approach: Cost of living variances; 
Number of schools that did not implement option[A]: 5. 

Options in the consensus approach: Divorced and separated families; 
Number of schools that did not implement option[A]: 6. 

Options in the consensus approach: Family and student assets; 
Number of schools that did not implement option[A]: 7. 

Options in the consensus approach: Home equity; 
Number of schools that did not implement option[A]: 7. 

Options in the consensus approach: Family loan debt; 
Number of schools that did not implement option[A]: 7. 

Source: GAO analysis of schools' survey responses. 

[A] A total of 25 member schools used part or all of the consensus 
approach. 

[End of table] 

The 25 schools that implemented the consensus approach did so between 
2002 and 2005. Member schools reported that they preferred to use the 
consensus approach as opposed to other available need analysis 
methodologies because it was more consistent and fairer than 
alternative methodologies. Moreover, according to institution 
officials, they believed the new methodology had not reduced price 
competition and had resulted in the average student receiving more 
financial aid. In some cases, if using the consensus approach lowered a 
student's EFC, the institution would then allocate more money for 
financial aid than it would have if it had used a different need 
analysis methodology. For some schools the consensus approach was not 
that different from the methodology their institution already had in 
place, but other schools said that fully implementing the consensus 
approach cost their school more money. Among schools that partially 
implemented the consensus approach, many explained they did not fully 
implement the new methodology because it would have been too costly. 

As the Cost of Attendance at Schools Using the Exemption Rose, the 
Amount of Institutional Grant Aid They Provided to Students Increased 
at a Slower Rate: 

The cost to attend the schools participating under the exemption rose 
over the past 5 years by over 10 percent while cost increases at all 
other private schools rose at about half that rate. At the same time, 
the percentage of students receiving institutional aid increased and 
institutions increased the amount of such aid they provided students, 
although at a slower rate than cost increases. 

Cost of Attendance Increased at Schools Using the Exemption 
Corresponding to Increases at Other Private Schools: 

During the past 5 years, the cost of attendance--tuition, fees, room, 
and board--at schools using the exemption increased by approximately 13 
percent from $38,319 in school year 2000-2001 to $43,164 in school year 
2004-2005, a faster rate than other schools.[Footnote 11] For example, 
at other private 4-year schools there was a 7 percent increase in these 
costs, from $25, 204 to $27, 071.[Footnote 12] Additionally, as figure 
2 illustrates, among a set of schools that were comparable to the 
schools using the exemption, costs increased by 9 percent from $40,238 
to $43,939 over that same time period.[Footnote 13] 

Figure 2: Average Tuition, Fees, and Room and Board at Schools Using 
the Antitrust Exemption Compared to All Other Private 4-Year Not-For- 
Profit Schools and Comparable Schools, School Years 2000 to 2005: 

[See PDF for image] 

Source: GAO analysis of IPEDS data. 

Note: Comparable schools include the seven schools selected as control 
schools for our econometric analysis. 

[End of figure] 

Percentage of Students Receiving Institutional Grant Aid and the Amount 
Schools Provided Them Increased: 

Over the same time period, the percentage of students who received any 
form of institutional grant aid at schools using the exemption 
increased by 3 percentage points, from 37 to 40 percent, as illustrated 
by figure 3. 

Figure 3: Percentage of Students at Schools Using the Antitrust 
Exemption Receiving Various Types of Institutional Grant Aid from 2000 
to 2006: 

[See PDF for image] 

Source: GAO analysis of institutional data.

Note: Data collected from 26 of the 28 schools using the antitrust 
exemption. 

[End of figure] 

Among students receiving institutional grant aid, the percentage of 
students receiving need-based grant aid increased from 34 to 36 percent 
from 2000 to 2006. The percentage of students receiving non-need-based 
grant aid also increased slightly, from 2 to 4 percent. Non-need-based 
aid is awarded based on a student's academic or athletic achievement 
and includes fellowships, stipends, or scholarships. The majority of 
schools using the exemption did not offer any non-need-based 
institutional grant aid in school year 2005-2006. However, in 2005-2006 
some schools did, allocating non-need-based grant aid to between 16 to 
54 percent of their students. 

As the cost of attendance and percentage of students receiving 
institutional aid rose, participating institutions increased the amount 
of such aid they provided students, although the percentage increases 
in aid were smaller. As shown in figure 4, the average need-based grant 
aid award across the schools using the exemption increased from $18,925 
to $20,059, or 6 percent. The average amount of non-need-based grant 
aid awards dropped slightly from $12,760 in 2000-01 to $12,520 in 2005- 
06, or 2 percent. Overall, the average total institutional grant aid 
awarded to students, which included both need and non-need-based aid, 
increased from $18,675 in 2000-01 to $19,901 in 2005-06, or 7 percent. 

Figure 4: Average Amount of Various Institutional Grant Aid Awards at 
Schools Using the Antitrust Exemption from 2000 to 2006: 

[See PDF for image] 

Source: GAO analysis of institutional data. 

Note: Data collected from 26 of the 28 schools using the exemption. 

[End of figure] 

Students Accepted to Both Schools Using the Exemption and Comparable 
Schools Had No Appreciable Difference in the Amount They Would Be 
Expected to Contribute Towards College: 

There was virtually no difference in the amounts students and their 
families were expected to pay between schools using the exemption and 
similar schools not using the exemption. Average EFC was $27,166 for 
students accepted at schools using the exemption, and $27,395 for those 
accepted at comparable schools not using the exemption in school year 
2005-2006. Moreover, the variation in the EFC for a student who was 
accepted to several schools using the exemption was similar to the 
variation in EFC that same student received from schools not using the 
exemption. The variation in EFCs for these students was about $6,000 at 
both sets of schools.[Footnote 14] Because the number of such students 
was small, we also analyzed variation in EFCs for students who were 
accepted only at schools using the exemption and compared it to the 
variation for students who were only accepted at comparable schools not 
using the exemption.[Footnote 15] We found slightly greater variation 
among EFCs for students who were accepted at schools using the 
exemption; however, because we could not control for student 
characteristics, factors external to the exemption could explain this 
result, such as differences in a family's income or assets. 

Although officials from schools using the exemption expected that 
students accepted at several of those schools would experience less 
variation in the amounts they were expected to pay, none of our 
analyses confirmed this. The lack of consistency in EFCs among schools 
using the exemption may be explained by the varied implementation of 
the consensus approach. As previously mentioned, not all schools using 
the consensus approach chose to adopt all the elements of the 
methodology. For example, seven schools chose not to use the consensus 
approach to home equity, which uses a percentage of the home equity in 
calculating the EFC. Using another method for assessing a family's home 
equity could significantly affect a student's EFC. For instance, we 
estimated that a family residing in Maryland with an income of $120,000 
and $350,000 in home equity would have an EFC of $58,243 if a school 
chose not to implement the home equity option in the consensus 
approach. Under the consensus approach, the amount of home equity 
included in asset calculations would be capped and only $38,000 of the 
home's equity would be included in the calculation of EFC. The same 
family would then have an EFC of $42,449 if the school chose to 
implement the option. 

Implementation of a Common Methodology Has Not Significantly Affected 
Affordability or Enrollment at Schools Using the Exemption: 

Based on our econometric analysis, schools' use of the consensus 
approach did not have a significant impact on affordability, nor did it 
cause significant changes in the likelihood of student enrollment at 
schools using the consensus approach compared to schools that were not 
using the consensus approach.[Footnote 16] As shown in table 5, while 
we found that the consensus approach resulted in higher need-based 
grant aid awards for some student groups (middle income, Asian 
students, and Hispanic students) compared to similar students at 
schools that were not using the consensus approach, this increase was 
likely offset by decreases in non-need-based grant aid, such as 
academic or athletic scholarships.[Footnote 17] Thus, total grant aid 
awarded was not affected by the consensus approach because the increase 
in need-based aid was likely offset by decreases in non-need-based 
grant aid.[Footnote 18] 

Table 5: Estimated Changes in Amount Paid, Financial Aid, and 
Enrollment at Schools Using the Consensus Approach Compared to Schools 
Not Using the Exemption: 

Student group: All students; 
Estimated changes of using the consensus approach on: Amount students 
paid: $3,021; 
Estimated changes of using the consensus approach on: Total grant aid: -
$749; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: $6,125[B]; [$239, $12,011]; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): -$2,886; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 38%. 

Student group: Financial-aid applicants; 
Estimated changes of using the consensus approach on: Amount students 
paid: 2,177; 
Estimated changes of using the consensus approach on: Total grant aid: 
n/a; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: n/a; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): n/a; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 22. 

Student group: Low-income; 
Estimated changes of using the consensus approach on: Amount students 
paid: -4,061; 
Estimated changes of using the consensus approach on: Total grant aid: 
3,688; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 1,956; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): 12,121[B]; [1,837, 22,404]; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 59. 

Student group: Lower-middle income; 
Estimated changes of using the consensus approach on: Amount students 
paid: 8,089 [C]; 
Estimated changes of using the consensus approach on: Total grant aid: -
3,671; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 6,556; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): -7,776;  
Estimated changes of using the consensus approach on: Probability of 
enrollment: 95.

Student group: Middle income; 
Estimated changes of using the consensus approach on: Amount students 
paid: 2,320; 
Estimated changes of using the consensus approach on: Total grant aid: 
1,618; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 20,221[A]; [6,718, 33,724]; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): 1,178; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 26. 

Student group: Upper-middle income; 
Estimated changes of using the consensus approach on: Amount students 
paid: -1,048; 
Estimated changes of using the consensus approach on: Total grant aid: -
973; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 2,769; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): -3,054; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 18. 

Student group: High income; 
Estimated changes of using the consensus approach on: Amount students 
paid: 3,699; 
Estimated changes of using the consensus approach on: Total grant aid: -
714; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 4,687[C]; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): -3,856; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 31. 

Student group: Asian students; 
Estimated changes of using the consensus approach on: Amount students 
paid: -376; 
Estimated changes of using the consensus approach on: Total grant aid: 
5,726; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 14,628[A]; [5,051, 24,206]; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): 3,694; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 1. 

Student group: Black students; 
Estimated changes of using the consensus approach on: Amount students 
paid: 4,468; 
Estimated changes of using the consensus approach on: Total grant aid: -
1,227; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 4,332; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): -6,542; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: -26. 

Student group: Hispanic students; 
Estimated changes of using the consensus approach on: Amount students 
paid: 1,168; 
Estimated changes of using the consensus approach on: Total grant aid: 
1,520; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 9,532[B]; [1,006, 18,059]; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): 3,648; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 108. 

Student group: White students; 
Estimated changes of using the consensus approach on: Amount students 
paid: 2,588; 
Estimated changes of using the consensus approach on: Total grant aid: -
491; 
Estimated changes of using the consensus approach on: Need-based total 
grant aid: 6,017[B]; [178, 11,856]; 
Estimated changes of using the consensus approach on: Total aid (grant, 
loans, work-study): -2,879; 
Estimated changes of using the consensus approach on: Probability of 
enrollment: 19. 

Source: GAO analysis (see table 16 in app. II). 

[A] Result is statistically significant at the 1 percent level or 
lower. 

[B] Result is statistically significant at the 5 percent level or 
lower. 

[C] Result is statistically significant at the 10 percent level or 
lower. 

Notes: The estimates in brackets are the confidence levels of the 
estimates that are significant at the 5 percent or lower level. 

n/a means not applicable because of data limitations. 

All the monetary values are in 2005 dollars. 

Amount students paid is defined as tuition, room, board, fees, and 
other expenses minus grant aid. 

Total grant aid includes both need-and non-need-based aid from federal, 
state, institutional and other sources. 

Total aid includes grants, loans, and work-study aid from federal, 
state, institutional, and other sources. 

The effect of the consensus approach on need-based institutional grant 
aid was $6,020, significant at the 5 percent level, with confidence 
interval between $512 and $11,528. 

The value of the effect of the consensus approach on institutional 
grant aid was $1,331, but not statistically significant. 

[End of table] 

A different effect was found when low-income students at schools using 
the consensus approach were compared to their counterparts at schools 
not using the consensus approach. As shown in table 5, low income 
students at schools using the consensus approach received, on average, 
a significantly higher amount of total aid--about $12,121, which 
includes both grants and loans. However, the amount of grant aid that 
these students received did not significantly change, suggesting that 
that they likely received more aid in the form of loans, which would 
need to be repaid, or work-study. Our analysis of the effects of the 
consensus approach on various racial groups showed no effect on 
affordability for these groups compared to their counterparts at 
schools not using the consensus approach. While Asian, white, and 
Hispanic students received more need-based grant aid compared to their 
counterparts at schools not using the consensus approach, their overall 
grant aid awards did not change. 

Finally, as shown in table 5, there were no statistically significant 
effects of the consensus approach on student enrollment compared to the 
enrollment of students at schools not using the consensus approach. In 
particular, the consensus approach did not significantly increase the 
likelihood of enrollment of low-income or minority students or any 
student group. 

Our econometric analysis has some limitations that could have affected 
our findings.[Footnote 19] For example, we could not include all the 
schools using the consensus approach in our analysis because there were 
no data available for some of them. However, there were enough 
similarities (in terms of "best college" ranking, endowment, tuition 
and fees, and percentage of tenured faculty) between the included and 
excluded participating schools that allowed for a meaningful analysis. 
(See table 6 for a list of schools included in our analysis). 

Table 6: Schools Included in Analysis of Effects of Exemption: 

Schools using the consensus approach: 
Cornell University 
Duke University 
Georgetown University 
University of Notre Dame 
Vanderbilt University 
Wake Forest University 
Yale University; 

Comparable schools not using the consensus approach: 
Brandeis University 
Bryn Mawr College 
New York University 
Princeton University 
Tulane University 
University of Rochester 
Washington University at St. Louis. 

Source: GAO analysis. 

[End of table] 

Moreover, the data for our post-consensus approach period was collected 
in 2003-2004--the first or second year that some schools were using the 
consensus approach. Because we have data for only one year after 
implementation, it is possible that some eventual effects of the 
consensus approach may not be captured. The effects of using the 
consensus approach could be gradual, rather than immediate, and 
therefore may not be captured until later years. 

Concluding Observations: 

By providing an exemption to antitrust laws enabling schools to 
collaborate on financial aid policies, the Congress hoped that schools 
would better target aid, making college more affordable for low income 
and other underrepresented groups. The exemption has not yet yielded 
these outcomes. Nor did our analysis find an increase in prices that 
some feared would result from increased collaboration among schools. 
Initial implementation of the approach has been varied; some schools 
have not fully implemented the need analysis methodology, and many 
schools are still in the initial years of implementation. As is often 
the case with new approaches, it may be too soon to fully assess the 
outcomes from this collaboration. 

Agency Comments: 

We provided the group of schools using the antitrust exemption, the 
Secretary of Education, and the Attorney General with a copy of our 
draft report for review and comments. The group of schools using the 
exemption provided written comments, which appear in appendix IV. In 
general, the group stated that our study was a careful and objective 
report, but raised some concerns about the data used in our econometric 
analysis and the report's tone and premise. Specifically, they raised 
concerns about the selection of treatment and control schools for our 
econometric analysis. As we noted in the report, we selected schools 
for selection in treatment and control groups based, in part, on the 
availability of student-level data in the NPSAS. Some schools that used 
the consensus approach were not included because there were no data 
available for them. However, we believe there were enough similarities 
between the included and excluded schools to allow for a meaningful 
analysis. The group also stated that a number of conclusions were based 
on a very small number of observations. In appendix II, we acknowledge 
the small sample size of the data could make the estimates less 
precise, especially for some of the subgroups of students we 
considered. However, we performed checks to ensure that our estimates 
were reliable and believe that we can draw conclusions from our 
analysis. With respect to the tone and premise of the report, the group 
raised concerns about using low income students as "a yardstick for 
judging the success of the Consensus Approach." When passing the 
exemption, Congress hoped that it would further the government's goal 
of promoting equal access to educational opportunities for students. 
Need-based grant aid is one way to make college more affordable for the 
neediest students to help them access a post-secondary education. The 
group also highlighted several positive outcomes from their 
collaboration, including a more transparent aid system and more 
engagement by college presidents in aid-related discussions, topics 
which our study was not designed to address. The group provided 
technical comments, which we incorporated where appropriate. Education 
reviewed the report and did not have any comments. The Department of 
Justice provided technical comments, which we incorporated where 
appropriate. 

We are sending copies of this report to the Secretary of Education, 
Attorney General, appropriate congressional committees, and other 
interested parties. In addition, the report will be available at no 
charge on GAO's Web site at [Hyperlink, http://www.gao.gov]. 

If you or your staff have any questions please call me on (202) 512- 
7215. Contact points for our Offices of Congressional Relations and 
Public Affairs may be found on the last page of this report. Other 
contacts and staff acknowledgments are listed in appendix VI. 

Signed by: 

Cornelia M. Ashby, Director: 
Education, Workforce and Income Security Issues: 

List of Congressional Committees: 

The Honorable Arlen Specter: 
Chairman: 

The Honorable Patrick J. Leahy:
Ranking Minority Member:
Committee on the Judiciary: 
United States Senate: 

The Honorable F. James Sensenbrenner, Jr.
Chairman: 

The Honorable John Conyers, Jr. 
Ranking Minority Member: 
Committee on the Judiciary: 
House of Representatives: 

[End of section] 

Appendix I: Statistical Analysis of Expected Family Contributions at 
Schools Using the Exemption and Comparable Schools: 

We compared variation in expected family contributions (EFCs) between 
students who were admitted to both schools using the exemption and 
comparable schools that did not. We collected data on student EFCs from 
27 of the 28 schools using the exemption and 55 schools that had 
similar selectivity and rankings as schools using the exemption. The 
data included the student's EFC calculated by the schools as of April 
1, 2006, based on their need analysis methodology. We determined that 
these data would most likely reflect the school's first EFC 
determination for a student and thus would be best for comparison 
purposes. We then matched students across both sets of schools to 
identify students accepted to more than one school (which we call cross-
admits). 

Our sample consisted of data for the following three types of cross- 
admit students: 

1. Students accepted to several schools using the exemption and several 
schools that were not (type 1 students); 

2. Students accepted to only schools using the exemption (type 2 
students); and: 

3. Students accepted to only schools not using the exemption (type 3 
students). 

Data from the type 1 sample provided the most suitable data for our 
analysis because it controlled for student characteristics. However, 
because this sample was relatively small, we used the other samples to 
supplement the analysis. 

Once the cross-admits were identified, the EFCs for each student were 
used to evaluate the mean and median as measures of location and the 
standard deviation and range as measures of variation. Given the 
potential scale factor, the variation measures were standardized. The 
standard deviation was standardized by dividing it by the mean, and the 
range was standardized by dividing it by the median. The two resulting 
variation measures were the coefficient of variation (V1) and its 
robust counterpart (V2), respectively. 

These two measures of variation were estimated for each and every 
student. The estimates were grouped for both sets of schools. We 
labeled schools using the exemption as "568 schools" and comparable 
schools that were not as "non-568 schools." 

Table 7 reports various estimates averaged over students in each group. 
The table generally shows similar group averages for the mean, standard 
deviation, median, and range that were used to compute V1 and V2. The 
values reported are the averages for all the students in each group. 
There are fewer observations for the 568 schools than for the non-568 
school, except for type 1 students where the number of observations 
were equal because the students were in both groups of colleges. In 
addition, we imposed the following three conditions: 

* First, for the coefficient of variation V1, we excluded all 
observations where the standard deviations were zero. The zero standard 
deviations are excluded because some of the non-568 schools that use 
only the federal methodology to calculate EFCs report the same EFCs for 
a student and are likely to bias the results. None of the observations 
with zero standard deviations that we excluded involved a 568 school. 

* Second, for the coefficient of variation V2, we excluded all 
observations where the medians were zero because we could not construct 
this measure that was obtained by dividing the range by the median. 

* And, third, for the coefficient of variation V2, we excluded 
observations where the standardized variation exceeded 3 based on the 
observed distributions of the data. 

The test results were similar when none of those conditions were 
imposed. 

Table 7: Summary Statistics of Expected Family Contributions: 

Students: Statistics: Standard deviation; 
Schools using the exemption (568 schools): Type 1 students: $6,188; 
Schools using the exemption (568 schools): All students: $6,447; 
Comparable schools (Non-568 schools): Type 1 students: $6,190; 
Comparable schools (Non-568 schools): All students: $7,035. 

Students: Statistics: Mean; 
Schools using the exemption (568 schools): Type 1 students: $27,166; 
[$22,576, $31,757]; 
Schools using the exemption (568 schools): All students: $31,640; 
[$30,380, $32,900]; 
Comparable schools (Non-568 schools): Type 1 students: $27,395; 
[$22,293, $32,497]; 
Comparable schools (Non-568 schools): All students: $28,747; [$27,924, 
$29,571]. 

Students: Statistic: Coefficient of variation 1 (V1); 
Schools using the exemption (568 schools): Type 1 students: 0.27; 
Schools using the exemption (568 schools): All students: 0.24;
Comparable schools (Non-568 schools): Type 1 students: 0.36; 
Comparable schools (Non-568 schools): All students: 0.35. 

Students: Statistic: Range; 
Schools using the exemption (568 schools): Type 1 students: $12,200; 
Schools using the exemption (568 schools): All students: $12,886; 
Comparable schools (Non-568 schools): Type 1 students: $9,671; 
Comparable schools (Non-568 schools): All students: $8,813. 

Students: Statistic: Median; 
Schools using the exemption (568 schools): Type 1 students: $30,374; 
[$25,380, $35,367];
Schools using the exemption (568 schools): All students: $31,677; 
[$30,394, $32,961];
Comparable schools (Non-568 schools): Type 1 students: $29,225; 
[$23,858, $34,593]; 
Comparable schools (Non-568 schools): All students: $31,075; [$30,314, 
$31,836]. 

Students: Statistic: Coefficient of variation 2 (V2); 
Schools using the exemption (568 schools): Type 1 students: 0.47; 
Schools using the exemption (568 schools): All students: 0.49;
Comparable schools (Non-568 schools): Type 1 students: 0.52; 
Comparable schools (Non-568 schools): All students: 0.37. 

Students: Statistic: Number of students; 
Schools using the exemption (568 schools): Type 1 students: N1=79; 
Schools using the exemption (568 schools): All students: N1=1,158; 
Comparable schools (Non-568 schools): Type 1 students: N1=79; 
Comparable schools (Non-568 schools): All students: N1=2,866. 

Schools using the exemption (568 schools): Type 1 students: N2=76; 
Schools using the exemption (568 schools): All students: All students: 
N2=1,150; N2=1,150: 
Comparable schools (Non-568 schools): Type 1 students: Type 1 students: 
N2=76; 
Comparable schools (Non-568 schools): All students: All students: 
N2=3,653. 

Source: GAO analysis. 

Notes: Coefficient of variation 1 (V1) equals standard deviation 
divided by mean. 

Coefficient of variation 2 (V2) equals range divided by median. 

Type 1 consists of students with multiple offers from 568 colleges as 
well as offers from non-568 colleges. For the 568 colleges, all 
students consist of type 1 and type 2--students with multiple offers 
from only 568 colleges. And for the non568 colleges, all students 
consist of type 1 and type 3--students with multiple offers from only 
non-568 colleges. 

The values in brackets are the 95 percent lower and upper bounds 
(confidence intervals). 

N1 is the sample size for coefficient of variation 1 (V1) and N2 is 
sample size for coefficient of variation 2 (V2). 

[End of table] 

Denoting the estimates of V1 and V2 for the two groups by V1(568) and 
V1(non568), and V2(568) and V2(non568), the empirical distribution of 
V1(568) was then compared with the empirical distribution of V1(non568) 
to examine whether V1(568) and V1(non568) had identical distributions 
(that is EFCs for 568 schools were similar in variations to those for 
non-568 schools). A similar comparison was made using the robust 
measures V2(568), and V2(non568).[Footnote 20] To more closely examine 
the difference between the variations in EFCs of cross-admit students 
for 568 and non- 568 schools, we performed the Kolmogorov-Smirnov test. 
The test examines whether the distributions of the variation measures 
V1(568) and V1(non568) were the same. The same analysis was done for 
the V2 measures. The test was reported for both samples, consisting of 
type 1 students and all students. The results reported in table 8 
suggest that there was no difference in EFC variations across the two 
groups, using type 1 students. The results using all students, however, 
are inconclusive for the V1 estimate, but suggest that non-568 schools 
have smaller EFC variation for the V2 estimate. The results based on 
the type 1 sample are more useful as a stand-alone descriptive finding, 
because this sample controls for student characteristics. The finding 
based on the combined data requires further analysis to control for 
student characteristics that we were unable to perform due to data 
limitations. 

Table 8: Tests of Variations in Expected Family Contributions: 

Variable: Coefficient of variation 1 (V1); 
Student Data: Type 1 N1=79 N2=79; 
Alternative hypothesis: Non-568 EFCs are smaller; Non-568 EFCs are 
larger; 
Test-statistic, D: 0.1013; -0.1519; 
p-value: 0.445; 0.162; 
Conclusion: EFCs are similar; EFCs are similar. Overall--EFCs are 
similar. 

Variable: Coefficient of variation 2 (V2); 
Student Data: Type 1 N1=76 N2=76; 
Alternative hypothesis: Non-568 EFCs are smaller; Non-568 EFCs are 
larger; 
Test-statistic, D: 0.1447; -0.1053; 
p-value: 0.203; 0.431; 
Conclusion: EFCs are similar; EFCs are similar. Overall--EFCs are 
similar. 

Variable: Coefficient of variation 1 (V1); 
Student Data: All N1=1,158 N2=2,866; 
Alternative hypothesis: Non-568 EFCs are smaller. Non-568 EFCs are 
larger; 
Test-statistic, D: 0.1724. -0.1788; 
p-value: 0.000. 0.000; 
Conclusion: Non-568 EFCs are smaller; Non-568 EFCs are larger. Overall--
Inconclusive. 

Variable: Coefficient of variation 2 (V2); 
Student Data: All N1=1,150 N2=3,653; 
Alternative hypothesis: Non-568 EFCs are smaller. Non-568 EFCs are 
larger; 
Test-statistic, D: 0.3970. -0.0399; 
p-value: 0.000. 0.061; 
Conclusion: Non-568 EFCs are smaller; EFCs are similar. Overall--Non-
568 EFCs are smaller. 

Source: GAO analysis. 

Notes: Coefficient of variation 1 (V1) equals standard deviation 
divided by mean. 

Coefficient of variation 2 (V2) equals range divided by median. 

All means students with multiple offers from 568 schools as well as 
offers from non-568 schools (type 1), students with multiple offers 
from only 568 schools (type 2), and students with multiple offers from 
only non-568 schools (type 3). 

The p-values are for the Kolmogorov-Smirnov tests of equality of 
distribution functions. All tests are interpreted using the 5 percent 
or lower level of significance. 

N1 is the sample size for coefficient of variation 1 (V1) and N2 is 
sample size for coefficient of variation 2 (V2). 

[End of table] 

[End of section] 

Appendix II: Econometric Analysis of Effects of the Higher Education 
Antitrust Exemption on College Affordability and Enrollment: 

To estimate the effects of schools' implementation of the consensus 
approach to need analysis on affordability (measured by price) and 
enrollment of freshmen students, we developed econometric models. This 
appendix provides information on theories of the exemption effects on 
student financial aid, the data sources for our analyses and selection 
of control schools, specifications of econometric models and estimation 
methodology, our econometric results, and limitations of our analysis. 

Theories of the Effects of the Consensus Approach on Financial Aid: 

Two theories exist about the effects the consensus approach on student 
financial aid. It is important to note that the award of grant aid 
represents a discount from the nominal "list price", which lowers the 
price students actually pay for college. So, any decision to limit 
grant aid would be an agreement to limit discounts to the list price, 
and thus may raise the price some students would pay. It is also 
important to note that schools admit only a limited number of students. 
One of the theories suggests that allowing schools a limited degree of 
collaboration could reduce the variation in financial need 
determination for an individual student and reduce price competition 
among colleges vying for the same students. While the reduced 
competition would imply lower financial aid (hence higher prices) for 
some students, schools could thus devote more financial aid resources 
to providing access to other students, especially disadvantaged 
students. This "social benefit theory" assumes that under these 
conditions disadvantaged students would receive more grant aid and as a 
result, pay less for school. Also, an implicit assumption of this 
theory is that the exemption would essentially result in redistribution 
of financial aid without necessarily changing the amount of financial 
aid resources available. Moreover, because costs to students and their 
families would change for some students, enrollment of such students 
would be affected. 

An opposing theory is that the exemption will allow schools to 
coordinate on prices and reduce competition. This "anti-competitive 
theory" essentially views coordination by the group as restraining 
competition. Specifically, under this theory, allowing an exemption 
would result in less grant aid and higher prices on average, especially 
for students that schools competed over by offering discounts on the 
list price. As a result, the amount of financial aid available to some 
students would likely decrease. If prices are higher on average, it 
could cause a decrease in enrollment, particularly of disadvantaged 
students since they would be less able to afford the higher 
prices.[Footnote 21] Our analyses allowed us to test these two theories 
with the data available. 

Sources of Data for the Model: 

To construct our model, we used data from: 

* National Postsecondary Student Aid Study (NPSAS): These data, 
available at the student-level, served as the primary source for our 
study because we were interested in student outcomes of the exemption. 
Data were published every 4 years during the period relevant to our 
study; hence, we have data for academic years 1995-1996, 1999-2000, and 
2003-2004. The data contained student-level information for all 
freshmen enrollees in the database, including enrollment in school, 
cost of attendance, financial aid, Scholastic Aptitude Test (SAT) 
scores, household income, and race. The number of freshmen in the 
database for our study was 1,626 in 1995-1996, 272 in 1999-2000, and 
842 in 2003-2004. 

* Integrated Postsecondary Education Data System (IPEDS): These data, 
available at the school level, included tuition and fees, faculty 
characteristics, and student enrollment for 1995-1996 and 2003-2004, 
there were no data published for 1999-2000. However, some of the data 
for 1999-2000 were reported in the subsequent publications. We were 
able to construct some data for 1999-2000 through linear interpolation 
of the data for 1998-1999 and 2000-2001 or using the data for either 
year depending on availability; we believed this was reasonable because 
data for these institutions did not vary much over time.[Footnote 22] 

* National Association of College and University Business Officers 
(NACUBO): This source provided data on school endowment from 1992 
through 2004.[Footnote 23] 

* GAO Survey: The survey collected data on the activities of the 
schools using the higher education antitrust exemption, including when 
schools implemented the consensus approach methodology. 

Selection of Control Schools: 

Determining the effects of the exemption required both a treatment 
group (schools using the exemption) and a control group (a comparable 
set of schools that did not use the exemption). To find a comparable 
set of schools we used data on school rankings based on their 
selectivity from years 1994 to 2004 from the U.S. News and World Report 
(USNWR). We selected control schools similar to schools using the 
antitrust exemption that had comparable student selectivity and quality 
of education using the "best schools" rankings information in the 
USNWR.[Footnote 24] The combined control and treatment schools were 
matched to school-level data from IPEDS, and student-level data from 
NPSAS. We selected the control schools based on their ranks in the 
years prior to the implementation of the consensus approach--1995-1996 
and 1999-2000--and after the implementation of the consensus approach-
-2003-2004. The USNWR published its "best schools" rankings annually in 
August or September. Thus, the 2004 publication reflected the 
selectivity of the schools during 2003-2004. However, because 
publications in prior years--2002 and 2003--provided relevant 
information to students who enrolled in 2003-2004, we considered the 
rankings published from 2002 through 2004 as important input into 
decisions made by students and the schools for 2003-2004. Similarly, 
the publications from 1994 through 1996 were used to determine the 
selectivity of the schools in 1995-1996, and the publications from 1998 
to 2000 were used to determine school selectivity for 1999-2000. 

The USNWR published separate rankings for liberal arts schools and 
national universities. The schools using or affiliated with the 
exemption consisted of 28 current members, two former members, and six 
observers.[Footnote 25] These 36 schools comprised the treatment 
schools used initially to select the comparable control schools. All 36 
treatment schools were private; 13 were liberal arts schools and 23 
were national universities.[Footnote 26] To ensure there were enough 
control schools for the treatment schools, we initially selected all 
the schools ranked in tier 1 (and tier 2 when available) in the USNWR 
rankings for each of the two types of institutions--liberal arts 
schools and national universities.[Footnote 27] This resulted in 250 
schools, including all 36 treatment schools, for nine selected years 
(1994 to 1996, 1998 to 2000, and 2002 to 2004). All the treatment 
schools were ranked in each of the nine years (except for one school 
that was not ranked in 2002). The initial list of 250 schools was 
refined further to ensure a proper match in selectivity between the 
treatments and controls. 

Although we were interested in obtaining an adequate number of control 
schools to match the treatment schools, we refined the selection 
process to ensure they were comparable using the following conditions. 
First, we limited the selection of all the schools (controls and 
treatments) to those that were ranked in tier 1. This reduced the 
sample of schools from 250 to 106 schools, comprising all 36 treatment 
schools and 70 control schools. Second, the list of 106 schools was 
used to match school-level data from the IPEDS in each of the three 
academic years.[Footnote 28] Third, these data were then matched with 
the IPEDS data for each of the three academic years to student-level 
data from NPSAS. From the NPSAS, we selected data for cohorts who 
entered their freshmen year in each of the three academic 
years.[Footnote 29] Fourth, since we used a difference-in-difference 
methodology for the analysis, we wanted data for each school in at 
least two of the three academic years--one in the pre-treatment and one 
in the post-treatment period. We therefore initially constructed four 
samples of schools, depending on whether there were matches between all 
three academic years, or between any two of the three academic years. 
This resulted in 30 schools with data in all three academic years 1995- 
1996, 1999-2000, and 2003-2004 (referred to as sample 1). There were 34 
schools with data in 1995-1996 and 2003-2004 (sample 2); 35 schools 
with data in 1999-2000 and 2003-2004 (sample 3); and 37 schools matched 
between 1995-1996 and 1999-2000 (sample 4).[Footnote 30] Finally, we 
limited the selection to private schools because all of the treatment 
schools are private. We did this because the governance of private 
schools generally differed from state-controlled public schools and 
these differences were likely to affect affordability and enrollment at 
a school. 

Determination of the Appropriate Time Periods for Assessing Effects and 
Classification of Schools that Only Attended the Meetings: 

We also determined the academic year(s) data that would be used to 
represent the period before and the period after the implementation of 
the consensus approach. Since we had data for only1995-1996, 1999-2000 
and 2003-2004, and given that the consensus approach was implemented in 
2003-2004 (or in the prior year by some schools) we selected 1995-1996 
as the pre-consensus approach period and 2003-2004 as the post- 
consensus approach period. Although the 1999-2000 data were relatively 
current for the pre-consensus approach period, it is possible that the 
1999-2000 data may offer neither strong pre-nor post-consensus approach 
information since the period was very close to the formation of the 568 
President's Group in 1998. Furthermore, the institutional methodology, 
which is a foundation for the consensus approach and used by some of 
the control schools in 2003-2004, was revised in 1999. We therefore 
investigated whether it was appropriate to include 1999-2000 in the pre-
consensus approach period or in the post-consensus approach period. We 
also investigated in which group (control or treatment) the schools 
that only attended the 568 President's Group meetings, but had not 
become members of the group or implemented the consensus approach, 
belonged. 

Using the Chow test for pooling data, we determined that 1999-2000 
should be excluded from the pre-consensus approach period as well as 
from the post-consensus approach period. We also determined that 
schools that only attended the 568 President's Group meetings could not 
be regarded as control schools or treatment schools in analyzing the 
effects of the consensus approach.[Footnote 31] Therefore, the 
treatment schools consisted of the group members that implemented the 
consensus approach, and the control schools consisted of the schools 
that were not members of the 568 Group and did not attend their 
meetings. Based on the analysis above, we used the data in sample 2, 
which excluded data collected in 1999-2000, for our baseline model 
analysis; the period before the consensus approach is 1995-1996 and the 
period after is 2003-2004; the control schools that did not use the 
consensus approach (non-CA schools) are Brandeis University, Bryn Mawr 
College, New York University, Princeton University, Tulane University, 
University of Rochester, and Washington University at St. Louis, and 
the treatment schools that used the consensus approach (CA schools) are 
Cornell University, Duke University, Georgetown University, University 
of Notre Dame, Vanderbilt University, Wake Forest University, and Yale 
University. The complete list of the schools is in table 9. 

Table 9: Control and Treatment Schools for Analyzing Effects of the 
Consensus Approach Implementation: 

Academic years: 1995-1996 1999-2000 &; 2003-2004; 
Control school (Non- CA): Sample 1: 
Brandeis University; 
New York University; 
Princeton University[B];
Tufts University[A,B]; 
Tulane University; 
University of Rochester; 
Washington University at St. Louis; 
Treatment school (CA): 
Samples 1, 2, or 3: 
Boston College[A];
Cornell University[B]; 
Duke University; 
Georgetown University; 
Massachusetts Institute of Technology[A,B]; 
University of Notre Dame; 
University of Pennsylvania[A,]; 
Vanderbilt University; 
Wake Forest;
University Yale University[B]. 

Academic years: 1995-1996 &; 2003-2004; 
Control school (Non-CA): 
Sample 2--All of Sample 1 Plus: 
Bryn Mawr College[B]; 
Yeshiva University[A]. 

Academic years: 1999-2000 &; 2003-2004; 
Control school (Non-CA): 
Sample 3--All of Sample 1 Plus: 
Colgate University; 
Lehigh University; 
Whitman College. 

Academic years: 1995-1996 &; 1999-2000; Control school (Non-CA): 
Sample 4--All of Sample 1 Plus: 
Carnegie Mellon University; 
Johns Hopkins University; 
Treatment school (CA): 
Sample 4--All of Above Plus: 
Columbia University[B]. 

Source: GAO analysis. 

[A] Schools were excluded because there were no data for SAT scores for 
2003-2004. 

[B] Member of the former Overlap group. 

[C] Members of the 568 Group that had not implemented the consensus 
approach. 

[D] Were not members of the 568 Group but attended meetings. 

[E] Former member of the 568 Group. 

Notes: Schools that Only Attended 568 Group Meetings: Sample 2: 
Stanford University[D], University of Southern California[A,D] and 
Sample 4: Case Western Reserve University[E] 

Member schools that had not implemented the consensus approach: Sample 
2: Brown University[B,C], Sample 3: Dartmouth College[B,C]. 

Other 568-Affiliated Schools: Amherst College[B], Bowdoin College[B,E], 
California Institute of Technology[D], Claremont McKenna College, 
Davidson College, Emory University, Grinnell College, Harvard 
University[B,D], Haverford College, Macalester College[E], Middlebury 
College[B], Northwestern University, Pomona College, Rice University, 
Swarthmore College, Syracuse University[D], University of Chicago, 
Wellesley College[B], Wesleyan University[B], Williams College[B]: 

[End of table] 

Specifications of Econometric Models and Estimation Methodology: 

We developed models for analyzing the effects of the implementation of 
the consensus approach (CA) on affordability and enrollment of incoming 
freshman using the consensus approach.[Footnote 32] We used a 
difference-in-difference approach to identify the effects of 
implementation of the consensus approach. This approach controlled for 
two potential sources of changes in school practices that were 
independent of the consensus approach. First, this approach enabled us 
to control for variation in the actions of schools over time that were 
independent of the consensus approach. Having control schools that 
never implemented the consensus approach allowed us to isolate the 
effects of the exemption and permitted us to estimate changes over time 
that were independent of the consensus approach implementation. Second, 
while we had a control group of schools that did not use the consensus 
approach, but were otherwise very similar to treatment schools, it is 
possible that schools using the consensus approach differed in ways 
that would make them more likely to implement practices that are 
different from those of other schools.[Footnote 33] The difference-in- 
difference approach controlled for this possibility by including data 
on schools using the consensus approach both before and after its 
adoption. Controlling then for time effects independent of the 
consensus approach as well as practices by these schools before 
adoption, the effect of the use of the consensus approach could be 
estimated. Compared to the schools that did not use the consensus 
approach, we expected that the implementation of the consensus approach 
would have a significantly greater impact on the schools using the 
consensus approach because its use has potential implications for 
affordability and enrollment of students in these schools. 

Modeling the Effects of the Consensus Approach Methodology for 
Financial Need on Affordability and Enrollment: 

The basic tenets of financial need analysis are that parents and 
students should contribute to the student's education according to 
their ability to pay. The CA schools used the consensus approach for 
its need analysis methodology and to determine the expected family 
contribution (EFC) for each student based on that methodology. 
Conversely, the non-CA schools primarily used a need analysis 
methodology called the institutional methodology (IM). The difference 
between the cost of attendance (COA) and the EFC determines whether a 
student has financial need. If so, the school then develops a financial 
aid package of grants, loans, and work study from various sources. The 
actual amount that students and families pay depends on how much of the 
aid received is grant aid. Therefore, the implementation of the 
consensus approach was expected to affect the price paid and the 
financial aid received by students, and by implication, their 
enrollment into schools. 

Dependent variables: 

The study examined the effects of the implementation of the consensus 
approach on two key variables: affordability (measured by price) and 
enrollment of freshman. We also estimated other equations to provide 
further insights on affordability--tuition, total grant aid, need-based 
grant aid, and total aid. All the dependent variables were measured at 
the student level, except tuition. Also, all monetary values were 
adjusted for inflation using the consumer price index (CPI) in 2005 
prices.[Footnote 34] The dependent variables were defined as follows: 

* Price (PRICE(ijt)): Price, in dollars, actually paid by freshman i 
who enrolled in school j in an academic year t. The variable was 
measured as the cost of attendance less total grant aid. The cost of 
attendance consisted of tuition and fees, on-campus room and board, 
books and supplies, and other expenses such as transportation. Total 
grant aid consisted of institutional and non-institutional grant aid; 
it excluded self-help aid (loans and work study). 

The other dependent variables that we estimated to help provide more 
insights into the results for affordability were: 

* Tuition (TUITION(ijt)): The amount of tuition and fees in dollars 
charged by school j to freshman i who enrolled in an academic year 
t.[Footnote 35] 

* Total grant aid (AIDTGRT(ijt)): The amount of total grant aid 
received, in dollars, by a freshman i who enrolled in school j in an 
academic year t. The counterpart to grant aid was self-help 
aid.[Footnote 36] 

* Need-based grant aid (AIDNDTGRT(ijt)): The amount of need-based grant 
aid received, in dollars, by freshman i who enrolled in school j in an 
academic year t. The counterpart to need-based aid was non-need-based 
aid, which consisted mainly of merit aid.[Footnote 37] 

* Total aid package (AIDTOTAMT(ijt)): The amount of total aid received, 
in dollars, by freshman i who enrolled in school j in an academic year 
t. The total aid consisted of total grants (from the school, the 
various levels of government--federal, state--and other sources) and 
self-help (includes loans and work-study). 

* Student enrollment (ENRCA(ijt)): An indicator variable for student 
enrollment into a CA school (ENRCA(ijt)). It equals one if a freshman i 
enrolled in an academic year t in school j that was a school using or 
later the consensus approach, and zero otherwise. Thus, at t=0 (1995- 
1996), a school was designated as a CA school if it implemented the 
consensus approach in period t=1 (2003-2004). Students who enrolled in 
a non-CA school were assigned a value of zero. In other words, ENRCA 
takes a value of one for every student enrolled in a CA school in any 
time period (1995-1996 or 2003-2004), and zero otherwise. 

Explanatory variables: 

Several variables could potentially affect each of the dependent 
variables identified above. The explanatory variables we used were 
based on economic reasoning, previous studies, and data 
availability.[Footnote 38] All the equations used were in quasi reduced-
form specifications. The key explanatory variable of interest was the 
exercise of the exemption through the implementation of the consensus 
approach by the 568 Group of schools. We were also interested in the 
effects of the implementation of the consensus approach on 
affordability and enrollment of disadvantaged students. In order to 
isolate the relationships between the consensus approach implementation 
and each of the dependent variables, we controlled for the potential 
effects of other explanatory variables. The following is a complete 
list of all the explanatory variables we used: 

* Exemption indicator: EMCA(jt)[Footnote 39] 

The exemption was captured by the implementation of the consensus 
approach by a school.[Footnote 40] EMCA equals one if school j has 
implemented CA by academic year t, where t is 2003-2004 and zero 
otherwise. 

We used other explanatory variables in our equations, in addition to 
the exemption indicator for the implementation of the consensus 
approach. These variables included school-level characteristics, school 
specific fixed-effects, time specific fixed-effects, and student-level 
characteristics. 

* School-level characteristics:[Footnote 41] 

The school variables or attributes varied across the schools (j) and 
over time (t), but did not vary across the students (i). The school 
characteristics may capture the quality of the schools, expenditures by 
the schools that may compete with financial aid for funding, revenue 
sources for financial aid, or the preferences of the students.[Footnote 
42] The variables used were: 

* ENDOWSTU(jt): The interaction between the 3-year average endowment 
per student and the 3-year average percentage rate of return on 
endowment per student at school j for an academic year t. The inclusion 
of the rate of returns from endowments helped minimize the possibility 
that developments in financial markets could bias the results 
especially if the average endowment per student differed across the two 
groups of schools. 

* RANKAVG(jt): The average "best schools" rank of school j for an 
academic year t. Although we used this variable to select the control 
schools that were comparable in selectivity to the treatment schools 
before matching the data to the NPSAS data, this variable was included, 
due to data limitations, to control for the possibility that the two 
groups of schools used in the sample may differ in selectivity. 

* ENROLUG(jt): The 3-year average growth rate (in decimals) of 
undergraduate enrollment at school j for an academic year t. 

* TENURED(jt): The percentage (in decimals) of total faculty at school 
j that was tenured in an academic year t. 

* Time specific fixed-effects: 

These variables captured differences over time that did not vary across 
the schools, such as increases in national income that could increase 
affordability of schools. This was an indicator variable for the 
academic years (time): 

AY1995(t): Equals one for the academic year 1995-1996, and zero 
otherwise AY2003(t): Equals one for the academic year 2003-2004, and 
zero otherwise. 

* Student characteristics:[Footnote 43] 

All the student-level variables or attributes generally varied across 
students (i), across schools (j), and across time (t). The student 
characteristics indicated the preferences of the students for a school 
as well as the decisions of the schools regarding the students they 
admitted. The variables used were: 

* FINAID(ijt): Equals one if a freshman i who enrolled in school j in 
an academic year t applied for financial aid, and zero otherwise. 

* RACE: Equals one if a freshman i who enrolled in school j in an 
academic year t is: 

Asian--ASIAN(ijt), and zero otherwise. Black--BLACK(ijt), and zero 
otherwise. Hispanic--HISPANIC(ijt), and zero otherwise. White--
WHITE(ijt), and zero otherwise. Foreigner--FOREIGN(ijt), and zero 
otherwise. None of the above--OTHER(ijt), and zero otherwise.[Footnote 
44] 

* INCOME: Equals one for a freshman i who enrolled in school j in an 
academic year t has household income in the following quintiles: 

INCLO(ijt): Below or equal to the 20th percentile, and zero otherwise. 
These were low-income students, and the median income for the group was 
$13,731 in 2005 dollars. 

INCLOMD(ijt): Above the 20th and below or equal to the 40th percentile, 
and zero otherwise. These were lower-middle income students, and the 
median income for the group was $40,498 in 2005 dollars. 

INCMD(ijt): Above the 40th and below or equal to the 60th percentile, 
and zero otherwise. These were middle-income students, and the median 
income for the group was $59,739 in 2005 dollars. 

INCUPMD(ijt): Above the 60th and below or equal to the 80th percentile, 
and zero otherwise. These were upper-middle income students, and the 
median income for the group was $88,090 in 2005 dollars. 

INCHI(ijt): Above the 80th percentile, and zero otherwise. These were 
high-income students, and the median income for the group was $145,912 
in 2005 dollars. 

Since we included minority students (Asian, black, and Hispanic 
students) as well as lower income groups (low income and lower-middle 
income students) to measure needy students, the minority variables 
likely captured nonincome effects.[Footnote 45] 

EFC(ijt): Expected family contribution for a freshman i who enrolled in 
school j in an academic year t. Although this variable captured the 
income of the students, it also reflected other factors that affect 
financial aid, such as the number of siblings in college.[Footnote 46] 

SCORESAT(ijt): The combined scholastic aptitude test (SAT) scores for 
math and verbal of freshman i who enrolled in school j in an academic 
year t. 

Tables 10 and 11 show summary statistics for the variables listed above 
for treatment and control schools in sample 2 (as listed in table 
9).[Footnote 47] In general, the values of the variables were similar 
between the two groups of schools. 

Table 10: Summary Statistics of Variables Used in Regression Analysis, 
1995-1996 and 2003-2004: CA Schools:  

Variable: School-level; TUITION; 
Mean: $26,245; 
Std: $3,557; 
Min: $18,910; 
Max: $31,152. 

Variable: School-level; ENDOWSTU; 
Mean: $227,213; 
Std: $230,768; 
Min: $44,061; 
Max: $1,146,129. 

Variable: School-level; RANKAVG; 
Mean: 16; 
Std: 9; 
Min: 2; 
Max: 27. 

Variable: School-level; ENROLUG; 
Mean: 2%; 
Std: 6%; 
Min: -1%; 
Max: 21%. 

Variable: School-level; TENURED; 
Mean: 56%; 
Std: 13%; 
Min: 25%; 
Max: 75%. 

Variable: Student-level; Variable: PRICE; 
Mean: $30,792; 
Std: $11,144; 
Min: $1,065; 
Max: $52,354. 

Variable: Student-level; AIDTGRT; 
Mean: $7,133; 
Std: $9,866; 
Min: $0; 
Max: $40,658. 

Variable: Student-level; AIDNDTGRT; 
Mean: $5,526; 
Std: $8,722; 
Min: $0; 
Max: $35,321. 

Variable: Student-level; AIDNONDTGRT; 
Mean: $1,607; 
Std: $4,360; 
Min: $0; 
Max: $30,403. 

Variable: Student-level; AIDTOTAMT; 
Mean: $12,465; 
Std: $13,566; 
Min: $0; 
Max: $43,195. 

Variable: Student-level; AIDSELFPLUS; 
Mean: $4,794; 
Std: $8,155; 
Min: $0; 
Max: $36,730. 

Variable: Student-level; EFC; 
Mean: $24,486; 
Std: $22,268; 
Min: $0; 
Max: $115,090. 

Variable: Student-level; SCORESAT; 
Mean: 1301; 
Std: 144; 
Min: 790; 
Max: 1600. 

Variable: Student-level; FINAID; 
Mean: 76%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; ASIAN; 
Mean: 9%; 
Std: n/a; 
Min: n/a; Max: n/a. 

Variable: Student-level; BLACK; 
Mean: 5%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; HISPANIC; 
Mean: 7%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; FOREIGN; 
Mean: 2%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; OTHER; 
Mean: 5%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; WHITE; 
Mean: 71%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCLO; 
Mean: 5%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCLOMD; 
Mean: 11%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCMD; 
Mean: 13%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCUPMD; 
Mean: 17%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCHI; 
Mean: 54%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Schools; 
Cornell University; 
Duke University; 
Georgetown University, 
University of Notre Dame, 
Vanderbilt University, 
Wake Forest University, 
Yale University. 

Variable: Number of observations; 
Max: 241. 

Source: GAO analysis. 

Note: All values are (probability) weighted averages, and the monetary 
values are in 2005 dollars. 

[End of table]

Table 11: Summary Statistics of Variables Used in Regression Analysis, 
1995-1996 and 2003-2004: Non-CA Schools: 

Variable: School-level; TUITION; 
Mean: $27,031; 
Std: $2,259; 
Min: $24,571; 
Max: $31,714. 

Variable: School-level; ENDOWSTU; 
Mean: $256,147; 
Std: $329,513; 
Min: $27,909; 
Max: $1,504,930. 

Variable: School-level; RANKAVG; 
Mean: 23; 
Std: 12; 
Min: 1; 
Max: 43. 

Variable: School-level; ENROLUG; 
Mean: 1%; 
Std: 1%; 
Min: -2%; 
Max: 4%. 

Variable: School-level; TENURED; 
Mean: 56%; 
Std: 12%; 
Min: 26%; 
Max: 72%. 

Variable: Student-level; PRICE; 
Mean: $28,815; 
Std: $10,305; 
Min: $4,569; 
Max: $50,726. 

Variable: Student-level; AIDTGRT; 
Mean: $10,869; 
Std: $9,792; 
Min: $0; 
Max: $32,803. 

Variable: Student-level; AIDNDTGRT; 
Mean: $8,573; 
Std: $9,132; 
Min: $0; 
Max: $31,487. 

Variable: Student-level; AIDNDTGRT; 
Mean: $2,296; 
Std: $5,419; 
Min: $0; 
Max: $27,919. 

Variable: Student-level; AIDTOTAMT; 
Mean: $16,487; 
Std: $13,875; 
Min: $0; 
Max: $48,572. 

Variable: Student-level; AIDSELFPLUS; 
Mean: $5,293; 
Std: $7,686; 
Min: $0; 
Max: $48,041. 

Variable: Student-level; EFC; 
Mean: $21,717; 
Std: $21,724; 
Min: $0; 
Max: $105,095. 

Variable: Student-level; SCORESAT; 
Mean: 1268; 
Std: 151; 
Min: 740; 
Max: 1590. 

Variable: Student-level; FINAID; 
Mean: 80%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; ASIAN; 
Mean: 12%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; BLACK; 
Mean: 5%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; HISPANIC; 
Mean: 4%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; FOREIGN; 
Mean: 3%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; OTHER; 
Mean: 3%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; WHITE; 
Mean: 74%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCLO; 
Mean: 10%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCLOMD; 
Mean: 9%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCMD; 
Mean: 12%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCUPMD; 
Mean: 21%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Student-level; INCHI; 
Mean: 48%; 
Std: n/a; 
Min: n/a; 
Max: n/a. 

Variable: Schools; 
Brandeis University, 
Bryn Mawr College, 
New York University, 
Princeton University, 
Tulane University, 
University of Rochester, 
Washington University at St. Louis. 

Variable: Number of Observations; 
Max: 277. 

Source: GAO analysis. 

Note: All values are (probability) weighted averages, and the monetary 
values are in 2005 dollars. 

[End of table]

Comparison of Prices and Financial Aid in CA and Non-CA Schools: 

Table 12 shows summary statistics on price and financial aid before and 
after the implementation of the consensus approach in 2003-04 at the CA 
and non-CA schools in sample 2. Similarly, table 13 shows the summary 
statistics by income and racial groups.[Footnote 48] It is important to 
note that the summary information on the observed differences before 
and after the implementation of the consensus approach for the CA and 
non-CA schools are heuristic and do not conclusively determine the 
potential effects of the implementation of the consensus approach. It 
is also important to note that, for any given variable, it is possible 
that there are other factors than implementing the consensus approach 
that are responsible for the observed differences, including 
differences between CA and non-CA schools' student populations or 
differences in the characteristics of the schools, or both. For 
instance, the price paid by middle-income students increased more in CA 
than in non-CA schools. While this may reflect the effect of consensus 
approach, it is possible that other factors are responsible for the 
differences. For example, the racial composition of middle-income 
students might also be different between the two groups, or there may 
be systematic differences in endowment growth between the CA and non-CA 
schools that affect financial aid to middle-income students. Thus, to 
assess the effect of consensus approach, it is necessary to study the 
effects of consensus approach while controlling simultaneously for all 
factors that influence price and aid policies. 

Table 12: CA and Non-CA Schools: Price and Financial Aid: 

All students: Price[A]; 
CA Schools: 1995-1996: $28,039; 
CA Schools: 2003-2004: $35,488; 
CA Schools: Percentage difference: 27%; 
Non-CA Schools: 1995-1996: $28,068; 
Non-CA Schools: 2003-2004: $30,838; 
Non-CA Schools: Percentage difference: 10%. 

All students: Tuition & fees; 
CA Schools: 1995-1996: 24,062; 
CA Schools: 2003-2004: 29,967; 
CA Schools: Percentage difference: 25; 
Non-CA Schools: 1995-1996: 25,770; 
Non-CA Schools: 2003-2004: 30,447; 
Non-CA Schools: Percentage difference: 18. 

All students: Total observations; 
CA Schools: 1995-1996: 150; 
CA Schools: 2003-2004: 91; 
CA Schools: Percentage difference:  
Non-CA Schools: 1995-1996: 198; 
Non-CA Schools: 2003-2004: 79; 
Non-CA Schools: Percentage difference: [Empty]. 

All students: Financial-Aid Applicants Only: Student Applied for 
Financial Aid; Price[A]; 
CA Schools: 1995-1996: $25,845; 
CA Schools: 2003-2004: $32,897; 
CA Schools: Percentage difference: 27%; 
Non-CA Schools: 1995-1996: $24,960; 
Non-CA Schools: 2003-2004: $29,705; 
Non-CA Schools: Percentage difference: 19%. 

All students: Financial-Aid Applicants Only: Student Applied for 
Financial Aid: Total grant aid; 
CA Schools: 1995-1996: 9,142; 
CA Schools: 2003-2004: 9,775; 
CA Schools: Percentage difference: 7; 
Non-CA Schools: 1995-1996: 13,391; 
Non-CA Schools: 2003-2004: 13,960; 
Non-CA Schools: Percentage difference: 4. 

All students: Financial-Aid Applicants Only: Student Applied for 
Financial Aid: Need-based total grant; 
CA Schools: 1995-1996: 7,771; 
CA Schools: 2003-2004: 6,439; 
CA Schools: Percentage difference: -17; 
Non-CA Schools: 1995-1996: 11,863; 
Non-CA Schools: 2003-2004: 8,122; 
Non-CA Schools: Percentage difference: -32. 

All students: Financial-Aid Applicants: Student Applied for Financial 
Aid: Institutional grant aid; 
CA Schools: 1995-1996: 7,073; 
CA Schools: 2003-2004: 6,529; 
CA Schools: Percentage difference: -8; 
Non-CA Schools: 1995-1996: 11,297; 
Non-CA Schools: 2003-2004: 11,116; 
Non-CA Schools: Percentage difference: -2. 

All students: Financial-Aid Applicants: Student Applied for Financial 
Aid: Total aid; 
CA Schools: 1995-1996: 16,604; 
CA Schools: 2003-2004: 16,046; 
CA Schools: Percentage difference: -3; 
Non-CA Schools: 1995-1996: 19,827; 
Non-CA Schools: 2003-2004: 22,255; 
Non-CA Schools: Percentage difference: 12. 

All students: Financial-Aid Applicants: Student Applied for Financial 
Aid: Loans (incl. PLUS); 
CA Schools: 1995-1996: 5,954; 
CA Schools: 2003-2004: 4,849; 
CA Schools: Percentage difference: -19; 
Non-CA Schools: 1995-1996: 5,271; 
Non-CA Schools: 2003-2004: 6,669; 
Non-CA Schools: Percentage difference: 27. 

All students: Financial-Aid Applicants: Student Applied for Financial 
Aid: Work study; 
CA Schools: 1995-1996: 710; 
CA Schools: 2003- 2004: 866; 
CA Schools: Percentage difference: 22; 
Non-CA Schools: 1995-1996: 986; 
Non-CA Schools: 2003-2004: 715; 
Non-CA Schools: Percentage difference: -27. 

All students: Financial-Aid Applicants: Student Applied for Financial 
Aid: Number of observations; 
CA Schools: 1995-1996: 112; 
CA Schools: 2003-2004: 72; 
CA Schools: Percentage difference:  
Non-CA Schools: 1995-1996: 152; 
Non-CA Schools: 2003-2004: 73; 
Non-CA Schools: Percentage difference: [Empty]. 

All students: Student Did Not Apply for Financial Aid[B]; Price[A]; 
CA Schools: 1995-1996: 34,645; 
CA Schools: 2003-2004: 44,504; 
CA Schools: Percentage difference: 28; 
Non-CA Schools: 1995-1996: 37,714; 
Non-CA Schools: 2003-2004: 44,292; 
Non-CA Schools: Percentage difference: 17. 

All students: Student Did Not Apply for Financial Aid[B]; Number of 
observations; 
CA Schools: 1995-1996: 38; 
CA Schools: 2003-2004: 19; 
CA Schools: Percentage difference: [Empty]; 
Non-CA Schools: 1995-1996: 46; 
Non-CA Schools: 2003-2004: 6; 
Non-CA Schools: Percentage difference: [Empty]. 

All students: Total observations; 
CA Schools: 1995-1996: 150; 
CA Schools: 2003-2004: 91; 
CA Schools: Percentage difference: [Empty]  
Non-CA Schools: 1995-1996: 198; 
Non-CA Schools: 2003-2004: 79; 
Non-CA Schools: Percentage difference: [Empty]. 

Source: GAO analysis. 

[A] Price equals cost of attendance less total grant aid. Cost of 
attendance equals tuition and fees, plus expenses (including room and 
board, and books). 

[B] Financial aid data were not available for students who did not 
apply for financial aid. 

Notes: All values are (probability) weighted averages, and the monetary 
values are in 2005 dollars. 

[End of table]

Table 13: CA and Non-CA Schools--Financial Aid Applicants Only: Price 
and Financial Aid: 

Income level; Low Income; Price[A]; 
CA schools: 1995-1996: $12,566; 
CA schools: 2003-2004: $10,095; 
CA schools: Percentage difference: -20; 
Non-CA schools: 1995-1996: $18,950; 
Non-CA schools: 2003-2004: $21,886; 
Non-CA schools: Percentage difference: 15. 

Income level; Low Income; Total grant aid; 
CA schools: 1995-1996: $23,429; 
CA schools: 2003-2004: $27,020; 
CA schools: Percentage difference: 15; 
Non-CA schools: 1995-1996: $19,093; 
Non-CA schools: 2003-2004: $21,861; 
Non-CA schools: Percentage difference: 14. 

Income level; Low Income; Need-based total grant;
CA schools: 1995-1996: $21,422;
CA schools: 2003-2004: $21,191;
CA schools: Percentage difference: -1; 
Non-CA schools: 1995-1996: $16,849;
Non-CA schools: 2003-2004: $17,756;
Non-CA schools: Percentage difference: 5. 

Income level; Low Income; Institutional grant aid;
CA schools: 1995-1996: $17,278;
CA schools: 2003-2004: $12,597;
CA schools: Percentage difference: -27;
Non-CA schools: 1995-1996: $14,060;
Non-CA schools: 2003-2004: $17,447;
Non-CA schools: Percentage difference: 24. 

Income level; Low Income; Total aid;
CA schools: 1995-1996: $27,385;
CA schools: 2003-2004: $35,956;
CA schools: Percentage difference: 31;
Non-CA schools: 1995-1996: $24,772;
Non-CA schools: 2003-2004: $26,523;
Non-CA schools: Percentage difference: 7. 

Income level; Low Income; Number of observations;
CA schools: 1995-1996: 9;
CA schools: 2003- 2004: 3;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 26;
Non-CA schools: 2003-2004: 8;
Non-CA schools: Percentage difference: [Empty]. 

Income level; Lower-middle income; Price[A];
CA schools: 1995-1996: $17,613;
CA schools: 2003-2004: $30,437;
CA schools: Percentage difference: 73;
Non-CA schools: 1995-1996: $17,623;
Non-CA schools: 2003-2004: $20,546;
Non-CA schools: Percentage difference: 17. 

Income level; Lower-middle income; Total grant aid;
CA schools: 1995-1996: $17,531;
CA schools: 2003-2004: $14,793;
CA schools: Percentage difference: -16;
Non-CA schools: 1995-1996: $20,598;
Non-CA schools: 2003-2004: $23,014;
Non-CA schools: Percentage difference: 12. 

Income level; Lower-middle income; Need-based total grant;
CA schools: 1995-1996: $15,762;
CA schools: 2003-2004: $12,949;
CA schools: Percentage difference: -18;
Non-CA schools: 1995-1996: $20,417;
Non-CA schools: 2003-2004: $15,456;
Non-CA schools: Percentage difference: -24. 

Income level; Lower-middle income; Institutional grant aid;
CA schools: 1995-1996: $11,735;
CA schools: 2003-2004: $9,667;
CA schools: Percentage difference: -18;
Non-CA schools: 1995-1996: $15,742;
Non-CA schools: 2003-2004: $19,386;
Non-CA schools: Percentage difference: 23. 

Income level; Lower-middle income; Total aid;
CA schools: 1995-1996: $24,025;
CA schools: 2003-2004: $18,409;
CA schools: Percentage difference: -23;
Non-CA schools: 1995-1996: $28,462;
Non-CA schools: 2003-2004: $30,509;
Non-CA schools: Percentage difference: 7. 

Income level; Lower-middle income; Number of observations;
CA schools: 1995-1996: 13;
CA schools: 2003- 2004: 12;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 22;
Non-CA schools: 2003-2004: 5;
Non-CA schools: Percentage difference: [Empty]. 

Income level; Middle income; Price[A];
CA schools: 1995-1996: $22,146;
CA schools: 2003-2004: $30,156;
CA schools: Percentage difference: 36;
Non-CA schools: 1995-1996: $21,240;
Non-CA schools: 2003-2004: $25,279;
Non-CA schools: Percentage difference: 19. 

Income level; Middle income; Total grant aid;
CA schools: 1995-1996: $12,277;
CA schools: 2003-2004: $12,076;
CA schools: Percentage difference: -2;
Non-CA schools: 1995-1996: $17,173;
Non-CA schools: 2003-2004: $17,336;
Non-CA schools: Percentage difference: 1. 

Income level; Middle income; Need-based total grant;
CA schools: 1995-1996: $8,293;
CA schools: 2003-2004: $10,767;
CA schools: Percentage difference: 30;
Non-CA schools: 1995-1996: $16,053;
Non-CA schools: 2003-2004: $9,048;
Non-CA schools: Percentage difference: -44. 

Income level; Middle income; Institutional grant aid;
CA schools: 1995-1996: $11,096;
CA schools: 2003-2004: $9,936;
CA schools: Percentage difference: -10;
Non-CA schools: 1995-1996: $16,000;
Non-CA schools: 2003-2004: $13,854;
Non-CA schools: Percentage difference: -13. 

Income level; Middle income; Total aid;
CA schools: 1995-1996: $18,811;
CA schools: 2003-2004: $20,743;
CA schools: Percentage difference: 10;
Non-CA schools: 1995-1996: $24,261;
Non-CA schools: 2003-2004: $25,176;
Non-CA schools: Percentage difference: 4. 

Income level; Middle income; Number of observations;
CA schools: 1995-1996: 16;
CA schools: 2003- 2004: 10;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 20;
Non-CA schools: 2003-2004: 12;
Non-CA schools: Percentage difference: [Empty]. 

Income level; Upper-middle income; Price[A];
CA schools: 1995-1996: $23,759;
CA schools: 2003-2004: $31,631;
CA schools: Percentage difference: 33; 
Non-CA schools: 1995-1996: $26,905;
Non-CA schools: 2003-2004: $29,524;
Non-CA schools: Percentage difference: 10. 

Income level; Middle income; Total grant aid;
CA schools: 1995-1996: $10,410;
CA schools: 2003-2004: $10,374;
CA schools: Percentage difference: -0.3; 
Non-CA schools: 1995-1996: $12,030;
Non-CA schools: 2003-2004: $13,478;
Non-CA schools: Percentage difference: 12. 

Income level; Middle income; Need-based total grant; 
CA schools: 1995-1996: $9,732;
CA schools: 2003-2004: $5,864;
CA schools: Percentage difference: -40;
Non-CA schools: 1995-1996: $10,289;
Non-CA schools: 2003-2004: $6,593;
Non-CA schools: Percentage difference: -36. 

Income level; Middle income; Institutional grant aid;
CA schools: 1995-1996: $8,694;
CA schools: 2003-2004: $7,719;
CA schools: Percentage difference: -11;
Non-CA schools: 1995-1996: $10,900;
Non-CA schools: 2003-2004: $7,198;
Non-CA schools: Percentage difference: -34. 

Income level; Middle income; Total aid;
CA schools: 1995-1996: $16,926;
CA schools: 2003-2004: $19,277;
CA schools: Percentage difference: 14;
Non-CA schools: 1995-1996: $19,425;
Non-CA schools: 2003-2004: $20,769;
Non-CA schools: Percentage difference: 7. 

Income level; Middle income; Number of observations;
CA schools: 1995-1996: 21;
CA schools: 2003- 2004: 13;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 32;
Non-CA schools: 2003-2004: 11;
Non-CA schools: Percentage difference: [Empty]. 

Income level; High income; Price[A];
CA schools: 1995-1996: $31,776;
CA schools: 2003-2004: $37,127;
CA schools: Percentage difference: 17; 
Non-CA schools: 1995-1996: $30,184;
Non-CA schools: 2003-2004: $33,806;
Non-CA schools: Percentage difference: 12. 

Income level; High income; Total grant aid;
CA schools: 1995-1996: $3,493;
CA schools: 2003-2004: $5,468;
CA schools: Percentage difference: 57;
Non-CA schools: 1995-1996: $7,941;
Non-CA schools: 2003-2004: $10,331;
Non-CA schools: Percentage difference: 30. 

Income level; High income; Need-based total grant;
CA schools: 1995-1996: $2,810;
CA schools: 2003-2004: $1,694;
CA schools: Percentage difference: -40;
Non-CA schools: 1995-1996: $6,185;
Non-CA schools: 2003-2004: $5,377;
Non-CA schools: Percentage difference: -13. 

Income level; High income; Institutional grant aid;
CA schools: 1995-1996: $2,532;
CA schools: 2003-2004: $3,430;
CA schools: Percentage difference: 35;
Non- CA schools: 1995-1996: $7,062;
Non-CA schools: 2003-2004: $8,884;
Non- CA schools: Percentage difference: 26. 

Income level; High income; Total aid;
CA schools: 1995-1996: $12,393;
CA schools: 2003-2004: $10,850;
CA schools: Percentage difference: -12;
Non-CA schools: 1995-1996: $13,300;
Non-CA schools: 2003-2004: $19,797;
Non-CA schools: Percentage difference: 49. 

Income level; High income; Number of observations;
CA schools: 1995-1996: 53;
CA schools: 2003- 2004: 34;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 52;
Non-CA schools: 2003-2004: 37;
Non-CA schools: Percentage difference: [Empty]. 

Income level; High income; Total observations;
CA schools: 1995-1996: 112;
CA schools: 2003-2004: 72;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 152;
Non-CA schools: 2003-2004: 73;
Non-CA schools: Percentage difference: [Empty]. 

Race[B]; Asian; Price[A]; 
CA schools: 1995-1996: $28,082; 
CA schools: 2003-2004: $28,756; 
CA schools: Percentage difference: 2; 
Non-CA schools: 1995-1996: $25,642; 
Non-CA schools: 2003-2004: $27,624; 
Non-CA schools: Percentage difference: 8. 

Race[B]; Asian; Total grant aid; 
CA schools: 1995-1996: $8,371;
CA schools: 2003-2004: $16,265;
CA schools: Percentage difference: 94;
Non-CA schools: 1995-1996: $10,827;
Non-CA schools: 2003-2004: $17,834;
Non-CA schools: Percentage difference: 65. 

Race[B]; Asian; Need-based total grant;
CA schools: 1995-1996: $7,675;
CA schools: 2003-2004: $13,129;
CA schools: Percentage difference: 71;
Non-CA schools: 1995-1996: $9,900;
Non-CA schools: 2003-2004: $14,646;
Non-CA schools: Percentage difference: 48. 

Race[B]; Asian; Institutional grant aid;
CA schools: 1995-1996: $6,906;
CA schools: 2003-2004: $11,607;
CA schools: Percentage difference: 68;
Non-CA schools: 1995-1996: $7,771;
Non-CA schools: 2003-2004: $13,376;
Non-CA schools: Percentage difference: 72. 

Race[B]; Asian; Total aid;
CA schools: 1995-1996: $14,343;
CA schools: 2003-2004: $23,037;
CA schools: Percentage difference: 61;
Non-CA schools: 1995-1996: $15,513;
Non-CA schools: 2003-2004: $27,425;
Non-CA schools: Percentage difference: 77. 

Race[B]; Asian; Number of observations;
CA schools: 1995-1996: 11;
CA schools: 2003- 2004: 5;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 23;
Non-CA schools: 2003-2004: 13;
Non-CA schools: Percentage difference: [Empty]. 

Race[B]; Black; Price[A];
CA schools: 1995-1996: $12,702;
CA schools: 2003-2004: $22,935;
CA schools: Percentage difference: 81;
Non-CA schools: 1995-1996: $13,530;
Non-CA schools: 2003-2004: $17,375;
Non-CA schools: Percentage difference: 28. 

Race[B]; Black; Total grant aid;
CA schools: 1995-1996: $21,360;
CA schools: 2003-2004: $19,958;
CA schools: Percentage difference: -7;
Non-CA schools: 1995-1996: $23,296;
Non-CA schools: 2003-2004: $25,010;
Non-CA schools: Percentage difference: 7. 

Race[B]; Black; Need-based total grant;
CA schools: 1995-1996: $19,836;
CA schools: 2003-2004: $8,932;
CA schools: Percentage difference: -55;
Non-CA schools: 1995-1996: $18,517;
Non-CA schools: 2003-2004: $15,631;
Non-CA schools: Percentage difference: -16. 

Race[B]; Black; Institutional grant aid;
CA schools: 1995-1996: $15,046;
CA schools: 2003-2004: $17,404;
CA schools: Percentage difference: 16;
Non-CA schools: 1995-1996: $18,582;
Non-CA schools: 2003-2004: $21,231;
Non-CA schools: Percentage difference: 14. 

Race[B]; Black; Total aid;
CA schools: 1995-1996: $29,572;
CA schools: 2003-2004: $24,950;
CA schools: Percentage difference: -16;
Non-CA schools: 1995-1996: $29,121;
Non-CA schools: 2003-2004: $26,707;
Non-CA schools: Percentage difference: -8. 

Race[B]; Black; Number of observations;
CA schools: 1995-1996: 10;
CA schools: 2003- 2004: 3;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 8;
Non-CA schools: 2003-2004: 4;
Non-CA schools: Percentage difference: [Empty]. 

Race[B]; Hispanic; Price[A];
CA schools: 1995-1996: $21,177;
CA schools: 2003-2004: $21,529;
CA schools: Percentage difference: 2;
Non-CA schools: 1995-1996: $20,282;
Non-CA schools: 2003-2004: $16,694;
Non-CA schools: Percentage difference: -18. 

Race[B]; Hispanic; Total grant aid;
CA schools: 1995-1996: $15,432;
CA schools: 2003-2004: $18,586;
CA schools: Percentage difference: 20;
Non-CA schools: 1995-1996: $17,028;
Non-CA schools: 2003-2004: $25,993;
Non-CA schools: Percentage difference: 53. 

Race[B]; Hispanic; Need-based total grant;
CA schools: 1995-1996: $13,514;
CA schools: 2003-2004: $13567;
CA schools: Percentage difference: 0.4;
Non-CA schools: 1995-1996: $14,684;
Non-CA schools: 2003-2004: $18,611;
Non-CA schools: Percentage difference: 27. 

Race[B]; Hispanic; Institutional grant aid;
CA schools: 1995-1996: $11,960;
CA schools: 2003-2004: $13,813;
CA schools: Percentage difference: 15;
Non-CA schools: 1995-1996: $13,187;
Non-CA schools: 2003-2004: $17,998;
Non-CA schools: Percentage difference: 36. 

Race[B]; Hispanic; Total aid;
CA schools: 1995-1996: $20,110;
CA schools: 2003-2004: $25,576;
CA schools: Percentage difference: 27;
Non-CA schools: 1995-1996: $22,446;
Non-CA schools: 2003-2004: $32,732;
Non-CA schools: Percentage difference: 46. 

Race[B]; Hispanic; Number of observations;
CA schools: 1995-1996: 7;
CA schools: 2003- 2004: 8;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 11;
Non-CA schools: 2003-2004: 2;
Non-CA schools: Percentage difference: [Empty]. 

Race[B]; White; Price[A];
CA schools: 1995-1996: $27,832;
CA schools: 2003-2004: $35,099;
CA schools: Percentage difference: 26;
Non-CA schools: 1995-1996: $25,736;
Non-CA schools: 2003-2004: $30,952;
Non-CA schools: Percentage difference: 20. 

Race[B]; White; Total grant aid;
CA schools: 1995-1996: $6,711;
CA schools: 2003-2004: $7,382;
CA schools: Percentage difference: 10;
Non-CA schools: 1995-1996: $13,028;
Non-CA schools: 2003-2004: $12,512;
Non-CA schools: Percentage difference: -4. 

Race[B]; White; Need-based total grant;
CA schools: 1995-1996: $5,271;
CA schools: 2003-2004: $4,284;
CA schools: Percentage difference: -19;
Non-CA schools: 1995-1996: $11,645;
Non-CA schools: 2003-2004: $6,249;
Non-CA schools: Percentage difference: -46. 

Race[B]; White; Institutional grant aid;
CA schools: 1995-1996: $5,105;
CA schools: 2003-2004: $4,240;
CA schools: Percentage difference: -17;
Non-CA schools: 1995-1996: $11,378;
Non-CA schools: 2003-2004: $10,187;
Non-CA schools: Percentage difference: -10. 

Race[B]; White; Total aid;
CA schools: 1995-1996: $14,635;
CA schools: 2003-2004: $14,130;
CA schools: Percentage difference: -3;
Non-CA schools: 1995-1996: $20,042;
Non-CA schools: 2003-2004: $21,005;
Non-CA schools: Percentage difference: 5. 

Race[B]; White; Number of observations;
CA schools: 1995-1996: 81;
CA schools: 2003- 2004: 48;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 103;
Non-CA schools: 2003-2004: 49;
Non-CA schools: Percentage difference: [Empty]. 

Race[B]; White; Total observations;
CA schools: 1995-1996: 112;
CA schools: 2003-2004: 72;
CA schools: Percentage difference: [Empty];
Non-CA schools: 1995-1996: 152;
Non-CA schools: 2003-2004: 73;
Non-CA schools: Percentage difference: [Empty]. 

Source: GAO analysis. 

[A] Price equals cost of attendance less total grant aid. Cost of 
attendance equals tuition and fees, plus expenses (including room and 
board, and books). 

[B] Data for other race, including Native American, unidentified race, 
and foreign students were too few to report. 

Notes: All values are (probability) weighted averages, and the monetary 
values are in 2005 dollars. 

[End of table] 

Model Specifications and Estimation Methodology: 

Our econometric analysis is based on panel data, which pooled cross- 
sectional and time series data. The cross-sectional data were based on 
freshmen who enrolled in CA schools and non-CA schools, and the time 
series data were for academic years 1995-1996 and 2003-2004. Where 
feasible, we used panel-data estimation appropriate for cross-sectional 
and time series data. Also, we used fixed-effects estimation instead of 
random-effects estimation because the observations were not randomly 
chosen and there were likely to be unobserved school-specific 
effects.[Footnote 49] The reported estimates were based on the fixed- 
effects estimators, using probability weights, and the standard errors 
were robust.[Footnote 50] 

Price, Tuition, and Financial Aid Equations: 

Let Y(ijt) be the dependent variable for freshman i's outcomes at the 
chosen school j in academic year t, where the main outcome variable 
studied is affordability represented by price (PRICE(ijt)).[Footnote 
51] The regression equations were specified generally as follows: 

[See PDF for image]  

where I and S are vectors of school (institution)-level and student- 
level variables, and EMCA represents the consensus approach 
implementation; y (time specific fixed-effects) and q (school specific 
fixed-effects) are scalar parameters, and a and e are the constant and 
the random error terms, respectively. There are interactions between 
EMCA and the school-level variables and between EMCA and the student- 
level variables.[Footnote 52] 

We were primarily interested in the total effects of the implementation 
of the consensus approach on affordability, as well as the effects that 
were specific to particular groups of students, such as low-income and 
minority students, and students who applied for financial aid. 

Using equation 1, the total effect of the CA implementation on price 
was estimated by where and are averages of I and S taken over the 
observations for the CA schools during the period of the consensus 
approach implementation (2003-2004).[Footnote 53] This measures the 
effect of the consensus approach implementation on CA schools, relative 
to non-CA schools, controlling for time invariant differences in 
schools and other variations over time that are common to both groups. 
The coefficient measures the unconditional effect of the consensus 
approach implementation on price, while and measure the conditional 
effects of the consensus approach implementation on price through the 
school-level variables and student-level variables, respectively. 

The expression for the total effects of the consensus approach 
implementation can be evaluated for particular groups of students by 
averaging I and S over that particular subset of students. For example, 
the effects of the consensus approach implementation on prices paid by 
low-income (INCLO) students can be estimated by 

[See PDF for image] 

where the school-level and student-level variables are averaged over 
the low-income students. More specifically, the second term is the 
coefficient estimates of each school-level variable multiplied by the 
school-level variable averaged over the subset of low-income (INCLO) 
students attending CA schools after the consensus approach 
implementation; similarly the average is taken for the third term, 
which is for the student-level variables. 

Alternatively, we can use equation 1 to illustrate the effects of the 
consensus approach implementation for particular groups. Consider a 
simple example in which there are two student characteristics, and, 
where is an indicator variable equal to one if the student is a 
financial aid applicant and zero otherwise, and is an indicator equal 
to one if the student is black, and zero otherwise. Then, using 
equation 1, the equation for this example is: 

[See PDF for image]

Now consider a white student who is a financial aid applicant in school 
j at time t.[Footnote 54] The predicted price for a white student if j 
is a CA school is: 

[See PDF for image] 

and the predicted price if j is not a CA school is: 

[See PDF for image]

The effect of the consensus approach implementation for a financial aid 
applicant at school j is then the difference between equations 1.2 and 
1.3, which is: 

[See PDF for image] 

The coefficient measures the effect of adopting the consensus approach 
that is invariant across school and student type, the term captures the 
differential effect of adopting the consensus approach for a school 
with characteristics Ijt, and the third term, , captures the 
differential effect of adopting the consensus approach for a white 
student who is a financial aid applicant. Repeating the exercise above 
for a black student who is a financial aid applicant, the predicted 
effect of adopting the consensus approach would be: 

[See PDF for image]

The first three terms in equation 1.5 are the same as equation 1.4, 
while the fourth term captures the differential effect of the consensus 
approach implementation for a black student. In this example, then, the 
estimated effect of the consensus approach implementation on financial 
aid students would be the weighted average of the terms in equations 
1.4 or 1.5, with weights corresponding to the proportions of white and 
black financial-aid students across all schools j that adopted the 
consensus approach at time t, respectively. 

Another estimate of the consensus approach's effect on a particular 
group is the estimated differential effect on a group, given by, 
holding everything else constant. For example, one can ask how a low- 
income student as compared to a high-income student would be affected 
by the consensus approach implementation, assuming all other 
characteristics of the student and the student's school are held 
constant. This estimated effect is simply given by the element of the 
vector in that corresponds to INCLO. This differs from the total effect 
of the consensus approach implementation discussed above by taking as 
given the consensus approach implementation, and by abstracting from 
the likelihood that low-income students will have other characteristics 
and attend different schools than non low-income students. We will also 
discuss the coefficient, which captures the value of the dependent 
variable for the particular group in both CA and non-CA schools before 
the consensus approach implementation, where necessary. 

The total effect of the exemption on price as well as its specific 
effects on particular groups will depend on which theory of the 
exemption is supported by the data. In particular, we expect price to 
be lower for disadvantaged students if the social benefit theory is 
valid; on the other hand, price will increase if the anti-competitive 
theory is valid. Similarly, the effects of the student-level variables 
would depend on the theories of the effects of the exemption. For the 
effects of the school-level variables, ENDOWSTU should be negative 
because with more resources there is less need to raise tuition and 
there will be more funds for grant aid. RANKAVG should be negative 
because as the quality of the school decreases tuition as well as grant 
aid should decrease. ENROLUG would be negative if higher growth in 
student enrollment perhaps means more revenues and less need to raise 
tuition. On the other hand, if students' education is on net subsidized 
by other sources of school income then ENROLUG would be positive as 
increased enrollment increases the costs to the school of providing 
education. And TENURED should be positive if more tenured faculty 
implies higher quality.[Footnote 55] 

We estimated equation 1 for price, as well as for tuition and the 
financial aid variables, using probability-weighted regression and 
robust standard errors, as well as the fixed-effects estimator for 
panel data.[Footnote 56] See the regression estimates for price and 
tuition in table 14, and those for the financial aid variables in table 
15.[Footnote 57] 

The regression models for the price, tuition, and financial aid 
variables are all highly significant using the F-values of the models. 
See tables 14 and 15. Furthermore, the school-level variables generally 
have the expected effects. In particular, for the price equation, a 
student enrolled in a school with an endowment per student (ENDOWSTU) 
of $250,000 paid about $5,000 lower price.[Footnote 58] Also, a student 
paid about $464 less for a school with a unit drop in its selectivity 
(RANKAVG). Although the effect is not significant, the positive sign 
for ENROLUG suggests that an increase in enrollment growth may result 
in a higher price paid, implying that education is net subsidized and 
increases in enrollment increases the cost of providing education; and 
vice versa. Finally, a student enrolled in a school with 10 percent 
higher tenured faculty (TENURED) paid about $3,310 higher. As discussed 
earlier, the effects of the student-level variables depend on which 
theory of the effects of the higher education exemption is 
relevant.[Footnote 59] 

Student enrollment equation: 

The regression equation for enrollment into a CA school (ENRCAijt) 
would depend on student characteristics. Generally, enrollment is the 
outcome of decision-making that included application, admission, and 
acceptance of the admission offer. The first and third decisions are 
made by the student, and the second decision is made by the school. 
Therefore, in general, both student-level variables and school-level 
variables would be relevant. However, our approach, as indicated in 
equation 2, treated the CA schools essentially the same and likewise 
for the non-CA schools, with differences between the two groups other 
than the consensus approach implementation captured by the constant 
term in the regression. The enrollment equation was thus specified as 
follows, excluding school-level variables as regressors: 

(See PDF for image); 

F is the standard normal cumulative probability distribution function. 
Similar to equation 1, equation 2 includes student characteristics 
(with coefficients r), time fixed-effects captured by AY2003, and the 
interaction of the time variable AY2003 with student characteristics 
(with coefficients g).[Footnote 60] 

The time specific fixed-effect for AY2003 captures any shift, which is 
constant across students, toward or away from the CA schools, after the 
consensus approach implementation, while the interaction terms between 
the AY2003 and the student characteristics capture shifts toward or 
away from the CA schools by students with specific 
characteristics.[Footnote 61] 

The marginal effect of the consensus approach implementation is 
captured by the effects of AY2003 on enrollment in CA schools. 
Specifically, this equals, 

[See PDF for image]

where f is the standard normal probability density function. It should 
be noted that if AY2003 affects the probability of enrollment in CA 
schools, it would be a valuable suggestive evidence about the potential 
impact of the consensus approach implementation. However, it would not 
establish that the consensus approach implementation caused the shift. 
This is because it is possible that such effects might be due to 
changes in other factors at CA schools versus non-CA schools (e.g., 
more rapid endowment growth in the latter than the former). The effect 
of the consensus approach implementation is the change in the 
probability of enrollment in CA schools relative to non-CA schools as a 
result of the consensus approach implementation. The overall effect of 
the CA implementation as well as the effects of the consensus approach 
implementation on particular groups of students, such as low-income 
students and those who applied for financial aid, can be obtained 
similar to the discussion above for the price. 

The marginal effect of the student characteristics is captured by the 
effects of S on enrollment in CA schools. Specifically, this equals, 

[See PDF for image]

The effect of the consensus approach implementation on how the 
probabilities of enrollment of low-income and minority students, and 
those who applied for financial aid, are affected can be obtained 
similar to the discussion for the price. 

Similar to the discussion for the price equation, the effects of the 
exemption and the student-level variables on enrollment into CA schools 
will depend on which theory of the exemption is valid. In particular, 
the social benefit theory will imply increased likelihood of enrollment 
into CA schools, especially of low-income students, because prices will 
be lower. While the opposite will occur with the anti-competitive 
theory because average price will be higher. 

We estimated equation 2 for student enrollment using the probit 
estimation, with probability weights and robust standard 
errors.[Footnote 62] The regression estimates are in table 14. 

The regression model for enrollment in table 14 is significant using 
the chi-square of the model. As indicated earlier, we expect the 
estimation results will enable us to determine if the likelihood of 
enrollment into schools implementing the consensus approach by various 
student groups is more consistent with the social benefit theory or the 
anti-competitive theory of the effects of the higher education 
exemption. 

Table 14: Regression Estimates of Effects of Consensus Approach 
Implementation on Price, Tuition, and Enrollment: 

Variable: EMCA; 
Price: 43,743.75[A] [0.002]; 
Tuition: -1,720.72 [0.512]; 
Enrollment: n/a. 

Variable: AY2003;
Price: 12,133.55[A] [0.000];
Tuition: 5,650.28[A] [0.000];
Enrollment: 0.25751 [0.631]. 

Variable: Student-level: FINAID;
Price: -7,573.33[A] [0.000];
Tuition: n/a;
Enrollment: 0.01292 [0.854]. 

Variable: Student-level: FINAID[*];
Price: 190.21 [0.911];
Tuition: n/a;
Enrollment: - 0.30976[ B] [0.015]. 

Variable: Student-level: ASIAN;
Price: 1,084.13 [0.363];
Tuition: n/a;
Enrollment: - 0.01069 [0.910]. 

Variable: Student-level: ASIAN*;
Price: -7,109.66[C] [0.055];
Tuition: n/a;
Enrollment: -0.08486 [0.613]. 

Variable: Student-level: BLACK;
Price: -9,444.68[A] [0.000];
Tuition: n/a;
Enrollment: 0.19398 [0.129]. 

Variable: Student-level: BLACK*;
Price: -566.20 [0.921];
Tuition: n/a;
Enrollment: - 0.20422 [0.339]. 

Variable: Student-level: HISPANIC;
Price: -4,686.31[A] [0.007];
Tuition: n/a;
Enrollment: 0.06790 [0.574]. 

Variable: Student-level: HISPANIC*;
Price: -1,610.12 [0.588];
Tuition: n/a;
Enrollment: 0.35354[B] [0.021]. 

Variable: Student-level: FOREIGN;
Price: 3,398.09 [0.230];
Tuition: n/a;
Enrollment: - 0.25968 [0.221]. 

Variable: Student-level: FOREIGN*;
Price: 10,588.17[B] [0.026];
Tuition: n/a;
Enrollment: 0.36734[C] [0.054]. 

Variable: Student-level: OTHER;
Price: -2,047.09 [0.407];
Tuition: n/a;
Enrollment: 0.02366 [0.887]. 

Variable: Student-level: OTHER*;
Price: -1,077.16 [0.727];
Tuition: n/a;
Enrollment: 0.30781[C] [0.059]. 

Variable: Student-level: EFC;
Price: 0.10871[A] [0.000];
Tuition: n/a;
Enrollment: 2.30e-06 [0.190]. 

Variable: Student-level: EFC*;
Price: -0.00745 [0.872];
Tuition: n/a;
Enrollment: - 3.43e-06 [0.219]. 

Variable: Student-level: INCLO;
Price: -8,427.06a [0.000];
Tuition: n/a;
Enrollment: - 0.15253 [0.196]. 

Variable: Student-level: INCLO*;
Price: -6,507.64 [0.274];
Tuition: n/a;
Enrollment: - 0.15185 [0.489]. 

Variable: Student-level: INCLOMD;
Price: -8,696.19[A] [0.000];
Tuition: n/a;
Enrollment: -0.03045 [0.797]. 

Variable: Student-level: INCLOMD*;
Price: -1,789.68 [0.593];
Tuition: n/a;
Enrollment: 0.16593 [0.384]. 

Variable: Student-level: INCMD;
Price: -4,804.25[A] [0.000];
Tuition: n/a;
Enrollment: 0.06859 [0.506]. 

Variable: Student-level: INCMD*;
Price: 945.64 [0.771];
Tuition: n/a;
Enrollment: - 0.16166 [0.303]. 

Variable: Student-level: INCUPMD;
Price: -1,434.39 [0.163];
Tuition: n/a;
Enrollment: 
-0.03378 [0.689]. 

Variable: Student-level: INCUPMD*;
Price: -1,715.73 [0.522];
Tuition: n/a;
Enrollment: 
-0.07025 [0.657]. 

Variable: Student-level: SCORESAT;
Price: -2.48 [0.430];
Tuition: n/a;
Enrollment: 0.00024 [0.227]. 

Variable: Student-level: SCORESAT*;
Price: -7.82 [0.383];
Tuition: n/a;
Enrollment: 0.00013 [0.764]. 

Variable: School-level; ENDOWSTU;
Price: -0.01935[A] [0.001];
Tuition: -0.00401[A] [0.008];
Enrollment: n/a. 

Variable: School-level; ENDOWSTU*;
Price: -0.01056[B] [0.044];
Tuition: 0.00038 [0.831];
Enrollment: n/a. 

Variable: School-level; RANKAVG;
Price: -464.33[C] [0.051];
Tuition: -151.06[C] [0.064];
Enrollment: n/a. 

Variable: School-level; RANKAVG*;
Price: -798.05[A] [0.000];
Tuition: 36.28 [0.792];
Enrollment: n/a. 

Variable: School-level; ENROLUG;
Price: 19,038.16 [0.785];
Tuition: 35,553.57 [0.133];
Enrollment: n/a. 

Variable: School-level; ENROLUG*;
Price: -45,843.9 [0.518];
Tuition: -44,159.24[C] [0.095];
Enrollment: n/a. 

Variable: School-level; TENURED;
Price: 33,100.97[A] [0.000];
Tuition: -610.06 [0.492];
Enrollment: n/a. 

Variable: School-level; TENURED*;
Price: -25,823.9[B] [0.014];
Tuition: 4,632.48 [0.315];
Enrollment: n/a. 

Variable: School-level; Constant;
Price: 29,651.89[A] [0.000];
Tuition: 28,746.01[A] [0.000];
Enrollment: n/a. 

Variable: School-level; Test statistic of model[D];
Price: 22.97[A] [0.000];
Tuition: 375.71[A] [0.000];
Enrollment: 37.68[B] [0.050]. 

Variable: School-level; R-squared;
Price: 0.62;
Tuition: 0.99;
Enrollment: 0.06. 

Variable: School-level; Sample size;
Price: 518;
Tuition: 28;
Enrollment: 518. 

Variable: School-level; Joint test for EMCA;
Price: 2.85[A] [0.000];
Tuition: 1.15 [0.460];
Enrollment: 18.70[B] [0.133]. 

Variable: School-level; Linear restriction test for EMCA[E];
Price: 1.18 [0.240];
Tuition: -0.59 [0.586];
Enrollment: n/a. 

Source: GAO analysis. 

[A] Statistically significant at the 1 percent level or lower. P-values 
are in brackets. 

[B] Statistically significant at the 5 percent level or lower. P-values 
are in brackets. 

[C] Statistically significant at the 10 percent level or lower. P- 
values are in brackets. 

[D] F-statistic values for the price and tuition equations, and chi- 
square values for the enrollment equation. 

[E] t-statistic values for the price and tuition equations, and z- 
statistic values for the enrollment equation. 

Notes: N/A means data are not available or applicable. 

* means interaction terms with EMCA for price and tuition equations, 
and interaction terms with AY2003 for the enrollment equation. 

Estimates of price and tuition are obtained using fixed-effects models. 

Estimates for enrollment are the marginal effects from a probit model. 

[End of table] 

Table 15: Regression Estimates of Effects of Consensus Approach 
Implementation on Financial Aid: 

Variable: EMCA; 
Total grant aid: -28,705.63[C] [0.066]; 
Need-based grant aid: -15,512.93 [0.178]; 
Total aid: -50,805.28[B] [0.016]. 

Variable: AY2003; 
Total grant aid: 2,159.46 [0.348]; 
Need-based grant aid: -1,511.37 [0.522]; 
Total aid: 7,385.03[C] [0.062]. 

Variable: Student-level; FINAID;
Total grant aid: n/a;
Need-based grant aid: n/a;
Total aid: n/a. 

Variable: Student-level; FINAID*;
Total grant aid: n/a;
Need-based grant aid: n/a;
Total aid: n/a. 

Variable: Student-level; ASIAN;
Total grant aid: -722.86 [0.649];
Need-based grant aid: -740.76 [0.590];
Total aid: -2,638.73 [0.221]. 

Variable: Student-level; ASIAN*;
Total grant aid: 6,970.89 [0.142];
Need-based grant aid: 6,546.91[C] [0.066];
Total aid: 8,275.76 [0.221]. 

Variable: Student-level; BLACK;
Total grant aid: 7,914.65[A] [0.000];
Need-based grant aid: 4,796.63[B] [0.026];
Total aid: 8,425.58[A] [0.000]. 

Variable: Student-level; BLACK*;
Total grant aid: 2,546.02 [0.656];
Need-based grant aid: -2,267.21 [0.514];
Total aid: 965.32 [0.862]. 

Variable: Student-level; HISPANIC;
Total grant aid: 4,709.93[B] [0.023];
Need-based grant aid: 2,826.32 [0.140];
Total aid: 2,281.05 [0.389]. 

Variable: Student-level; HISPANIC*;
Total grant aid: 2,038.96 [0.570];
Need-based grant aid: 206.79 [0.947];
Total aid: 2,606.82 [0.622]. 

Variable: Student-level; FOREIGN;
Total grant aid: -5,754.55[B] [0.031];
Need-based grant aid: -4,634.40 [0.132];
Total aid: -11.961.86[A] [0.002]. 

Variable: Student-level; FOREIGN*;
Total grant aid: -10,965.98[B] [0.032];
Need-based grant aid: -10,414.55[B] [0.032];
Total aid: -11,659.21[C] [0.068]. 

Variable: Student-level; OTHER;
Total grant aid: 4,656.42 [0.169];
Need-based grant aid: 5,229.39 [0.129];
Total aid: 4,196.89 [0.349]. 

Variable: Student-level; OTHER*;
Total grant aid: -2,813.57 [0.481];
Need-based grant aid: -1,725.88 [0.667];
Total aid: -4,098.47 [0.496]. 

Variable: Student-level; EFC;
Total grant aid: -0.16058[A] [0.000];
Need-based grant aid: -0.149889[A] [0.000];
Total aid: -0.187923[A] [0.000]. 

Variable: Student-level; EFC*;
Total grant aid: 0.044382 [0.397];
Need-based grant aid: 0.03185 [0.472];
Total aid: 0.006624 [0.929]. 

Variable: Student-level; INCLO;
Total grant aid: 7,178.94[A] [0.000];
Need-based grant aid: 7,932.99[A] [0.000];
Total aid: 3,276.04 [0.177]. 

Variable: Student-level; INCLO*;
Total grant aid: 7,346.13 [0.239];
Need-based grant aid: 6,955.88[C] [0.096];
Total aid: 14,970.89 [0.020]. 

Variable: Student-level; INCLOMD;
Total grant aid: 8,227.84[A] [0.000];
Need-based grant aid: 8,747.21[A] [0.000];
Total aid: 7,153.01[A] [0.001]. 

Variable: Student-level; INCLOMD*;
Total grant aid: 2,830.62 [0.395];
Need-based grant aid: 3,585.08 [0.198];
Total aid: 3,678.72 [0.359]. 

Variable: Student-level; INCMD;
Total grant aid: 5,084.33[A] [0.000];
Need-based grant aid: 3,488.27[B] [0.015];
Total aid: 4,116.59[B] [0.040]. 

Variable: Student-level; INCMD*;
Total grant aid: 1,835.35 [0.617];
Need-based grant aid: 4,773.69 [0.134];
Total aid: 5,366.73 [0.339]. 

Variable: Student-level; INCUPMD;
Total grant aid: 2,215.09[C] [0.093];
Need-based grant aid: 1,699.48 [0.161];
Total aid: 1,643.62 [0.419]. 

Variable: Student-level; INCUPMD*;
Total grant aid: 600.56 [0.851];
Need-based grant aid: -473.12 [0.873];
Total aid: 2,503.61 [0.632]. 

Variable: Student-level; SCORESAT;
Total grant aid: 1.23 [0.729];
Need-based grant aid: -0.51436 [0.882];
Total aid: -3.05 [0.561]. 

Variable: Student-level; SCORESAT*;
Total grant aid: 10.81 [0.306];
Need-based grant aid: 1.97 [0.775];
Total aid: 18.18 [0.170]. 

Variable: School-level; ENDOWSTU;
Total grant aid: 0.00684 [0.317];
Need-based grant aid: 0.01056 [0.144];
Total aid: -0.00583 [0.512]. 

Variable: School-level; ENDOWSTU*;
Total grant aid: 0.001786 [0.774];
Need-based grant aid: 0.00272 [0.644];
Total aid: 0.015595[C] [0.092]. 

Variable: School-level; RANKAVG;
Total grant aid: 88.79 [0.773];
Need-based grant aid: 406.70 [0.114];
Total aid: 58.30 [0.888]. 

Variable: School-level; RANKAVG*;
Total grant aid: 140.56 [0.571];
Need-based grant aid: 38.06 [0.859];
Total aid: 566.66 [0.178]. 

Variable: School-level; ENROLUG;
Total grant aid: -36,447.82 [0.623];
Need-based grant aid: -238,689.4[A] [0.004];
Total aid: -12,713.12 [0.922]. 

Variable: School-level; ENROLUG*;
Total grant aid: 30,780.66 [0.683];
Need-based grant aid: 246,969.5[A] [0.003];
Total aid: 32,081.77 [0.807]. 

Variable: School-level; TENURED;
Total grant aid: -4,340.32 [0.545];
Need-based grant aid: 5,070.34 [0.486];
Total aid: 8,685.55 [0.530]. 

Variable: School-level; TENURED*;
Total grant aid: 15,405.02 [0.204];
Need-based grant aid: 16,399.34 [0.103];
Total aid: 11,726.97 [0.514]. 

Variable: School-level; Constant;
Total grant aid: 8,727.25 [0.375];
Need-based grant aid: -1331.71 [0.878];
Total aid: 17,640.66 [0.209]. 

Variable: School-level; F value of model;
Total grant aid: 14.81[A] [0.000];
Need- based grant aid: 16.36[A] [0.000];
Total aid: 8.79[A] [0.000]. 

Variable: School-level; R-squared;
Total grant aid: 0.55;
Need-based grant aid: 0.54;
Total aid: 0.36. 

Variable: School-level; Sample size;
Total grant aid: 409;
Need-based grant aid: 409;
Total aid: 409. 

Variable: School-level; F value of joint test;
Total grant aid: 1.13 [0.328];
Need- based grant aid: 1.83[B] [0.026];
Total aid: 1.60[C] [0.067]. 

Variable: School-level; t value of linear restriction;
Total grant aid: n/a;
Need- based grant aid: 2.05[B] [0.041];
Total aid: 0.64 [0.525]. 

Source: GAO analysis. 

[A] Statistically significant at the 1 percent level or lower. P-values 
are in brackets. 

[B] Statistically significant at the 5 percent level or lower. P-values 
are in brackets. 

[C] Statistically significant at the 10 percent level or lower. P- 
values are in brackets. 

Notes: n/a means data are not available or applicable. 

*Means interaction terms with EMCA. 

[End of table] 

Estimation Results of the Effects of Attending Meetings and 
Implementing the Consensus Approach[Footnote 63] 

The results of estimating equations 1 and 2 for the total effects of 
the CA implementation on affordability and enrollment are summarized in 
table 16, based on the regression results in tables 14 and 15. The 
results for price and enrollment in table 16 contain the key findings 
of the entire study, with the other variables (tuition and financial 
aid) providing information that supplements the findings for 
price.[Footnote 64] 

Total Effects of Implementing the Consensus Approach (from table 16): 

Prices:[Footnote 65] 

For the average student, the consensus approach implementation did not 
significantly change the prices paid by students in CA schools compared 
to non-CA schools, including the effects on low-income and minority 
students and students who applied for financial aid.[Footnote 66] 

Tuition:[Footnote 67] 

The CA schools, compared to non-CA schools, did not significantly 
change the tuition they charged students as a result of the consensus 
approach implementation. 

Total grant aid:[Footnote 68] 

The consensus approach implementation did not significantly change the 
amount of total grant aid received by students in CA schools compared 
to non-CA schools. 

Need-based total grant aid:[Footnote 69] 

The consensus approach implementation increased the amount of need- 
based total grant aid received by students in CA schools compared to 
non-CA schools by about $6,125, with a confidence interval of between 
$239 and $12,011.[Footnote 70] The amounts of need-based grant aid 
received by students in CA schools compared to non-CA schools were 
higher for middle income students by about $20,221, with a confidence 
interval of between $6,718 and $33,724. Asian students received higher 
need-based grant aid of about $14,628, with a confidence interval of 
between $5,051 and $24,206; Hispanic students received higher need- 
based grant aid of about $9,532, with a confidence interval of between 
$1,006 and $18,059; and white students received higher need-based grant 
aid of about $6,017, with a confidence interval of between $178 and 
$11,856. 

Total aid:[Footnote 71] 

The consensus approach implementation did not significantly change the 
amount of total aid received by students in CA schools compared to non- 
CA schools. However, low-income students in CA schools received higher 
total aid of about $12,121, with a confidence interval of between 
$1,837 and $22,404.[Footnote 72] 

Enrollment: 

The consensus approach implementation did not significantly change the 
overall likelihood of enrollment into CA schools compared to non-CA 
schools, for all types of students. 

Table 16: Estimates of Effects of Consensus Approach Implementation on 
Affordability and Enrollment in CA Schools Relative to Non-CA Schools: 

Total effect of consensus approach on…: All students; 
Price: $3,021; [- $2,026, $8,068]; 
Tuition: -$433; [-$2,465, $1,599]; 
Total grant aid: - $749; [-$6,967, $5,470]; 
Need-based total grant aid: $6,125[B]; [$239, $12,011]; 
Total aid: -$2,886; [-$11,805, $6,034]; 
Probability of enrollment: 38%; [8%, 67%]. 

Total effect of consensus approach on…: Financial-aid applicants; 
Price: $2,177; [-$3,319, $7,673]; 
Tuition: n/a; Total grant aid: n/a; 
Need-based total grant aid: n/a; 
Total aid: n/a; 
Probability of enrollment: 22%; [-11%,; 54%]. 

Total effect of consensus approach on…: Low income; 
Price: -$4,061; [- $15,583, $7,461]; 
Tuition: n/a; 
Total grant aid: $3,688; [-$8,511,; $15,887]; 
Need-based total grant aid: $1,956; [-$5,232,; $9,144]; 
Total aid: $12,121[B]; [$1,837,; $22,404]; 
Probability of enrollment: 59%; [- 52%,; 170%]. 

Total effect of consensus approach on…: Lower-middle income; 
Price: $8,089[C]; [-$263, $16,441]; 
Tuition: n/a; 
Total grant aid: -$3,671; [- $12,487,; $5,145]; 
Need-based total grant aid: $6,556; [-$2,145,; $15,257]; 
Total aid: -$7,776; [-$19,776,; $4,224]; 
Probability of enrollment: 95%; [6%,; 184%]. 

Total effect of consensus approach on…: Middle income; 
Price: $2,320[D]; [-$8,043, $12,682]; 
Tuition: n/a; 
Total grant aid: $1,618; [-$11,221,; $14,457]; 
Need-based total grant aid: $20,221[A]; [$6,718,; $33,724]; 
Total aid: $1,178; [-$19,616,; $21,971]; 
Probability of enrollment: 26%; [-41%,; 93%]. 

Total effect of consensus approach on…: Upper-middle income; 
Price: - $1,048; [-$7,641, $5,545]; 
Tuition: n/a; 
Total grant aid: -$973; [- $7,801,; $5,855]; 
Need-based total grant aid: $2,769; [-$3,986,; $9,524]; 
Total aid: -$3,054; [-$13,177,; $7,068]; 
Probability of enrollment: 18%; [-47%,; 82%]. 

Total effect of consensus approach on…: High income; 
Price: $3,699; [- $824, $8,222]; 
Tuition: n/a; 
Total grant aid: -$714; [-$6,905,; $5,476]; 
Need-based total grant aid: $4,687[C]; [-$449,; $9,824]; 
Total aid: -$3,856; [-$12,817,; $5,104]; 
Probability of enrollment: 31%; [- 6%,; 68%]. 

Total effect of consensus approach on…: Asian students; 
Price: -$376; [-$10,426, $9,674]; 
Tuition: n/a; 
Total grant aid: $5,726; [-$5,671,; $17,123]; 
Need-based total grant aid: $14,628[A]; [$5,051,; $24,206]; 
Total aid: $3,694; [-$13,693,; $21,082]; 
Probability of enrollment: 1%; [-78%,; 80%]. 

Total effect of consensus approach on…: Black students; 
Price: $4,468; [-$7,452, $16,387]; 
Tuition: n/a; 
Total grant aid: -$1,227; [-$13,238,; $10,783]; 
Need-based total grant aid: $4,332; [-$4,992,; $13,657]; 
Total aid: -$6,542; [-$20,353,; $7,269]; 
Probability of enrollment: - 26%; [-142%,; 91%]. 

Total effect of consensus approach on…: Hispanic students; 
Price: $1,168[D]; [-$6,744, $9,079]; 
Tuition: n/a; 
Total grant aid: $1,520; [- $8,300,; $11,341]; 
Need-based total grant aid: $9,532[B]; [$1,006,; $18,059]; 
Total aid: $3,648; [-$8,981,; $16,278]; 
Probability of enrollment: 108%; [-6%,; 222%]. 

Total effect of consensus approach on…: White students; 
Price: $2,588; [-$2,403, $7,578]; 
Tuition: n/a; 
Total grant aid: -$491; [-$6,766,; $5,784]; 
Need-based total grant aid: $6,017[B]; [$178,; $11,856]; 
Total aid: -$2,879; [-$11,922,; $6,164]; 
Probability of enrollment: 19%; [- 14%,; 52%]. 

Total effect of consensus approach on…: Number of observations; 
Price: 518; 
Tuition: 28; 
Total grant aid: 409; 
Need-based total grant aid: 409; 
Total aid: 409; 
Probability of enrollment: 518. 

Schools; CA Schools: 
Cornell University, 
Duke University, 
Georgetown University, 
University of Notre Dame, 
Vanderbilt University, 
Wake Forest University, 
Yale University; 
Schools; Non-CA Schools: 
Brandeis University, 
Bryn Mawr College, 
New York University, 
Princeton University, 
Tulane University, 
University of Rochester, 
Washington University at St. Louis. 

Source: GAO analysis. 

[A] Statistically significant at the 1 percent level or lower. 

[B] Statistically significant at the 5 percent level or lower. 

[C] Statistically significant at the 10 percent level or lower. 

[D] Effects were negative when data for only financial aid applicants 
were used. 

Notes: The values in brackets are the 95 percent confidence intervals 
for the estimates that are significant at the 5 percent level or lower. 

"n/a" means data are not available or applicable. 

All the monetary values are in 2005 dollars. 

Results are based on tables 14 and 15. 

The calculated values are based on where the average values are for all 
students. 

The estimates are based on where the average values are for the 
relevant k subgroup of students. 

[End of table] 

Prior Levels and Differential Effects of the Consensus Approach on 
Affordability and Enrollment for Students with Particular 
Characteristics[Footnote 73] 

We discuss the estimates of affordability and the likelihood of 
enrollment in both the schools that adopted the consensus approach and 
those that did not, of students with particular characteristics, before 
the consensus approach was implemented. The estimates are reported in 
table 17, based on tables 14 and 15. These estimates could help explain 
the extent to which the consensus approach affected particular groups 
of students. For instance, if certain students were receiving higher 
financial aid awards prior to the consensus approach, they may be less 
likely to receive much higher awards as a result of its adoption. We 
also discuss the differential effects on students with particular 
characteristics that the consensus approach may have had on 
affordability and enrollment at those schools. The estimates are 
reported in table 18, based on tables 14 and 15. As already discussed, 
these estimates indicate how the consensus approach affected students 
with particular characteristics, assuming all the other characteristics 
of the students are held constant. 

Prices: 

Some students paid lower prices prior to the CA implementation; in 
particular, financial aid applicants relative to non-financial aid 
applicants; low income, lower-middle income, middle-income students 
relative to high-income students; and black and Hispanic students 
relative to white students. But there were no significant differential 
effects of implementing the consensus approach on prices paid by these 
groups of students in CA schools. 

Total grant aid: 

Some students received higher total grant aid prior to the consensus 
approach implementation; in particular, low-income, lower-middle 
income, middle-income, black, and Hispanic students. 

Need-based total grant aid: 

Some students received higher need-based aid prior to the consensus 
approach implementation; in particular, low-income, lower-middle 
income, middle-income, and black students. But there were no 
significant differential effects of implementing the consensus approach 
on prices paid by these groups of students. 

Total aid: 

Some students received higher total aid prior to the consensus approach 
implementation; in particular, middle-income, and black students. But 
lower-middle income students received lower total aid prior to the 
consensus approach implementation. Only low-income students in CA 
schools received higher aid, compared to high-income students, as a 
result of implementing the consensus approach. 

Enrollment: 

Students generally were not more or less likely to enroll in a CA 
school prior to the consensus approach implementation. However, 
implementing the consensus approach lowered the likelihood of 
enrollment of financial-aid students, compared to non-financial aid 
applicants, while the likelihood of enrollment of Hispanic students 
increased, compared to white students, in CA schools. 

Table 17: Estimates of Affordability and Enrollment before the 
Consensus Approach Implementation for Particular Groups of Students in 
Both CA and Non-CA Schools: 

Students: Financial-aid applicants[D]; 
Price: -$7,573[A]; 
Total grant aid: N/A; 
Need-based total grant aid: N/A; 
Total aid: N/A; 
Probability of enrollment: 1%. 

Students: Low income[E];
Price: -$8,427[A];
Total grant aid: $7,179[A];
Need-based total grant aid: $7,933[A];
Total aid: $3,276;
Probability of enrollment: -15%. 

Students: Lower-middle income[E];
Price: -$8,696[A];
Total grant aid: $8,228[A];
Need-based total grant aid: $8,747[A];
Total aid: - $7,153[A];
Probability of enrollment: -3%. 

Students: Middle income[E];
Price: -$4,804[A];
Total grant aid: $5,084[A];
Need-based total grant aid: $3,488[B];
Total aid: $4,117[B];
Probability of enrollment: 7%. 

Students: Upper-middle income[E];
Price: -$1,434;
Total grant aid: $2,215[C];
Need-based total grant aid: $1,699;
Total aid: $1,644;
Probability of enrollment: -3%. 

Students: High income;
Price: N/A;
Total grant aid: N/A;
Need-based total grant aid: N/A;
Total aid: N/A;
Probability of enrollment: N/A. 

Students: Asian students[F];
Price: $1,084;
Total grant aid: -$723;
Need-based total grant aid: -$740;
Total aid: -$2,639;
Probability of enrollment: -1%. 

Students: Black students[F];
Price: -$9,445[A];
Total grant aid: $7,915[A];
Need-based total grant aid: $4,797[B];
Total aid: $8,426[A];
Probability of enrollment: 19%. 

Students: Hispanic students[F];
Price: -$4,686[A];
Total grant aid: $4,710[B];
Need-based total grant aid: $2,826;
Total aid: $2,281;
Probability of enrollment: 7%. 

Students: White students;
Price: N/A;
Total grant aid: N/A;
Need-based total grant aid: N/A;
Total aid: N/A;
Probability of enrollment: N/A. 

Students: Number of observations;
Price: 518;
Total grant aid: 409;
Need-based total grant aid: 409;
Total aid: 409;
Probability of enrollment: 518. 

Schools; CA Schools: 
Cornell University, 
Duke University, 
Georgetown University, 
University of Notre Dame, 
Vanderbilt University, 
Wake Forest University, 
Yale University;
Schools; Non-CA Schools: 
Brandeis University, 
Bryn Mawr College, 
New York University, 
Princeton University, 
Tulane University, 
University of Rochester, 
Washington University at St. Louis. 

Source: GAO analysis. 

[A] Statistically significant at the 1 percent level or lower. 

[B] Statistically significant at the 5 percent level or lower. 

[C] Statistically significant at the 10 percent level or lower. 

[D] The estimates are relative to non-financial aid applicants. 

[E] The estimates are relative to high income students. 

[F] The estimates are relative to white students. 

Notes: Results are from tables 14 and 15, based on the coefficient in 
equations 1 and 2. For instance, the value for price for financial-aid 
applicants is based on the estimated coefficient FINAID in table 14. 

N/A means data are not available or applicable. 

All the monetary values are in 2005 dollars. 

[End of table] 

Table 18: Differential Effects of Consensus Approach Implementation on 
Affordability and Enrollment in CA Schools for Particular Groups of 
Students: 

Students: Financial-aid applicants[D]; 
Price: $190; 
Total grant aid: N/ A; 
Need-based total grant aid: N/A; 
Total aid: N/A; 
Probability of enrollment: -31%[B]. 

Students: Low-income[E];
Price: -$6,508;
Total grant aid: $7,346;
Need- based total grant aid: $6,956[C];
Total aid: $14,971[B];
Probability of enrollment: -15%. 

Students: Lower-middle income[E];
Price: -$1,790;
Total grant aid: $2,831;
Need-based total grant aid: $3,585;
Total aid: $3,679;
Probability of enrollment: 17%. 

Students: Middle income[E];
Price: $946;
Total grant aid: $1,835;
Need- based total grant aid: $4,774;
Total aid: $5,367;
Probability of enrollment: -16%. 

Students: Upper-middle income[E];
Price: -$1,716;
Total grant aid: $601;
Need-based total grant aid: -$473;
Total aid: $2,504;
Probability of enrollment: -7%. 

Students: High income;
Price: n/a;
Total grant aid: n/a;
Need-based total grant aid: n/a;
Total aid: n/a;
Probability of enrollment: n/a. 

Students: Asian students[F];
Price: -$7,110[C];
Total grant aid: $6,971;
Need-based total grant aid: $6,547[C];
Total aid: $8,276;
Probability of enrollment: -9%. 

Students: Black students[F];
Price: -$566;
Total grant aid: $2,546;
Need-based total grant aid: -$2,267;
Total aid: $965;
Probability of enrollment: -20%. 

Students: Hispanic students[F];
Price: -$1,610;
Total grant aid: $2,039;
Need-based total grant aid: $207;
Total aid: $2,607;
Probability of enrollment: 35%[B]. 

Students: White students;
Price: n/a;
Total grant aid: n/a;
Need-based total grant aid: n/a;
Total aid: n/a;
Probability of enrollment: n/a. 

Students: Number of observations;
Price: 518;
Total grant aid: 409;
Need-based total grant aid: 409;
Total aid: 409;
Probability of enrollment: 518. 

Schools; CA Schools: 
Cornell University, 
Duke University, 
Georgetown University, 
University of Notre Dame, 
Vanderbilt University, 
Wake Forest University, 
Yale University; 
Schools; Non-CA Schools: 
Brandeis University, 
Bryn Mawr College, 
New York University, 
Princeton University, 
Tulane University, 
University of Rochester, 
Washington University at St. Louis. 

Source: GAO analysis. 

[A] Statistically significant at the 1 percent level or lower. 

[B] Statistically significant at the 5 percent level or lower. 

[C] Statistically significant at the 10 percent level or lower. 

[D] The estimates are relative to non-financial aid applicants. 

[E] The estimates are relative to high income students. 

[F] The estimates are relative to white students. 

Notes: Results are from tables 14 and 15, based on the coefficient in 
equations 1 and 2. For instance, the value for price for financial-aid 
applicants is based on the estimated coefficient FINAID* in table 14. 

N/A means data are not available or applicable. 

All the monetary values are in 2005 dollars. 

[End of table] 

Limitations of the Study: 

Sample Selection bias: 

The findings of the study could be limited by the potential of 
selection bias if the CA schools had characteristics that we could not 
control for that made them more inclined to adopt the consensus 
approach and independently influenced the outcome variables. We believe 
that this is not a serious problem with the estimation since the 
difference-in-difference approach includes CA schools before the 
implementation of the CA, implying the latter selection problem would 
require significant change over a short time span in the character of 
these schools. Furthermore, a key factor that might motivate schools to 
join the 568 Group is the legacy of the Overlap group. The 568 Group 
has objectives that are similar to those stated by the Overlap group-- 
to be able to offer financial aid to more needy students. Our test 
indicated that the chances of a former Overlap group member joining or 
not joining the 568 Group did not differ between the two groups of 
schools in our sample.[Footnote 74] Thus, the similarity between the 
two groups, in terms of a school joining the 568 Group, implied the 
potential for selection bias may be small. 

Measures of Price: 

In our analysis, the total grant aid does not include self-help aid 
(loans and work study). However, if the true amount of total grant aid 
should include some proportion of self-help aid, then its exclusion 
would lead to an underestimation of total grant aid. Nonetheless, we 
believe this did not significantly affect our results since we found 
that the consensus approach implementation did not affect self-help 
aid. 

Early Decision Admissions: 

It may be that early admit students pay higher prices because early 
decision admission might be used by need-blind schools as a screening 
mechanism to indirectly identify a student's willingness-to-pay. Under 
the early decision process a non-financial aid student is therefore 
more likely to be admitted than a financial-aid student of comparable 
quality.[Footnote 75] We did not expect the early decision process to 
affect our results because while the process might help identify a 
student with a higher willingness to pay, it is the student's ability 
to pay that determines the need-based aid offered by the 568 Group. 
Furthermore, the total probability of enrollment of a financial-aid 
applicant was similar to that of a non-financial aid applicant both 
before and after the consensus approach implementation, even though the 
consensus approach implementation tended to decrease the likelihood of 
enrollment of financial-aid students. 

Excluded Schools of Comparable Selectivity: 

We could not include all the schools affiliated with the 568 Group in 
the analysis because of data limitations. (See the list of unmatched 
treatment schools in table 9.) However, there were several similarities 
(in terms of "best college" ranking, endowment, tuition and fees, and 
percentage of tenured faculty) as well as differences (in terms of 
freshmen enrollment) between the included and excluded CA colleges. 

Limited Data Availability: 

The data were available for only one academic year period after 
implementation of the consensus approach. This could mask potential 
effects of the consensus approach since these effects could be gradual, 
rather than immediate, and therefore take time to for the effects to be 
captured. Also, the small sample size of the data could make the 
estimates less precise, especially for some of the subgroups of 
students we considered. However, we checked to ensure that the 
estimates were consistent with the data by estimating the predicted 
values corresponding to the observed mean values for price, the key 
variable of interest, and the financial aid variables. The results, 
presented in table 19, show that the predictions of our model are 
consistent qualitatively with the observed data. 

Table 19: Comparison of Observed and Predicted Price and Financial Aid 
Variables in CA and Non-CA Schools: Pre--and Post--Consensus Approach 
Implementation Period: 

Price; All students; Observed; 
CA Schools: 1995-1996: $28,039; 
CA Schools: 2003-2004: $35,488; 
CA Schools: Difference: $7,449; 
Non-CA Schools: 1995- 1996: $28,068; 
Non-CA Schools: 2003-2004: $30,838; 
Non-CA Schools: Difference: $2,770. 

Price; All students; Predicted; 
CA Schools: 1995-1996: $30,791; 
CA Schools: 2003-2004: $37,171; 
CA Schools: Difference: $6,380; 
Non-CA Schools: 1995- 1996: $25,386; 
Non-CA Schools: 2003-2004: $27,882; 
Non-CA Schools: Difference: $2,496. 

Price; Financial-aid; Observed; 
CA Schools: 1995-1996: $25,845; 
CA Schools: 2003-2004: $32,897; 
CA Schools: Difference: $7,052; 
Non-CA Schools: 1995- 1996: $24,960; 
Non-CA Schools: 2003-2004: $29,705; 
Non-CA Schools: Difference: $4,745. 

Price; Financial-aid; Predicted; 
CA Schools: 1995-1996: $28,222; 
CA Schools: 2003-2004: $34,352; 
CA Schools: Difference: $6,130; 
Non-CA Schools: 1995- 1996: $22,347; 
Non-CA Schools: 2003-2004: $27,330; 
Non-CA Schools: Difference: $4,983. 

Price; Non financial-aid; Observed; 
CA Schools: 1995-1996: $34,645; 
CA Schools: 2003-2004: $44,504; 
CA Schools: Difference: $9,859; 
Non-CA Schools: 1995- 1996: $37,714; 
Non-CA Schools: 2003-2004: $44,292; 
Non-CA Schools: Difference: $6,578. 

Price; Non financial-aid; Predicted; 
CA Schools: 1995-1996: $38,771; 
CA Schools: 2003-2004: $46,625; 
CA Schools: Difference: $7,854; 
Non-CA Schools: 1995- 1996: $35,127; 
Non-CA Schools: 2003-2004: $34,973; 
Non-CA Schools: Difference: -$154. 

Price; Low income; Observed; 
CA Schools: 1995-1996: $12,566; 
CA Schools: 2003-2004: $10,095; 
CA Schools: Difference: -$2,471; 
Non-CA Schools: 1995-1996: $18,950; 
Non-CA Schools: 2003-2004: $21,886; 
Non-CA Schools: Difference: $2,936. 

Price; Low income; Predicted; 
CA Schools: 1995-1996: $14,272; 
CA Schools: 2003-2004: $11,389; 
CA Schools: Difference: -$2,833; 
Non-CA Schools: 1995-1996: $13,613; 
Non-CA Schools: 2003-2004: $18,106; 
Non-CA Schools: Difference: $4,493. 

Price; Lower-middle-income; Observed; 
CA Schools: 1995-1996: $19,220; 
CA Schools: 2003-2004: $30,437; 
CA Schools: Difference: $11,217; 
Non-CA Schools: 1995-1996: $17,623; 
Non-CA Schools: 2003-2004: $20,546; 
Non-CA Schools: Difference: $2,923. 

Price; Lower-middle-income; Predicted; 
CA Schools: 1995-1996: $20,650; 
CA Schools: 2003-2004: $32,075; 
CA Schools: Difference: $11,425; 
Non-CA Schools: 1995-1996: $15,156; 
Non-CA Schools: 2003-2004: $19,501; 
Non-CA Schools: Difference: $4,345. 

Price; Middle-income; Observed; 
CA Schools: 1995-1996: $24,785; 
CA Schools: 2003-2004: $34,201; 
CA Schools: Difference: $9,416; 
Non-CA Schools: 1995- 1996: $22,560; 
Non-CA Schools: 2003-2004: $26,069; 
Non-CA Schools: Difference: $3,509. 

Price; Middle-income; Predicted; 
CA Schools: 1995-1996: $26,035; 
CA Schools: 2003-2004: $36,438; 
CA Schools: Difference: $11,838; 
Non-CA Schools: 1995-1996: $21,092; 
Non-CA Schools: 2003-2004: $20,764; 
Non-CA Schools: Difference: -$328. 

Price; Upper-middle-income; Observed; 
CA Schools: 1995-1996: $26,285; 
CA Schools: 2003-2004: $32,310; 
CA Schools: Difference: $6,025; 
Non-CA Schools: 1995- 1996: $29,429; 
Non-CA Schools: 2003-2004: $34,305; 
Non-CA Schools: Difference: $4,876. 

Price; Upper-middle-income; Predicted; 
CA Schools: 1995-1996: $31,423; 
CA Schools: 2003-2004: $35,121; 
CA Schools: Difference: $3,698; 
Non-CA Schools: 1995- 1996: $26,566; 
Non-CA Schools: 2003-2004: $27,616; 
Non-CA Schools: Difference: $1,050. 

Price; High income; Observed; 
CA Schools: 1995-1996: $32,616; 
CA Schools: 2003-2004: $39,496; 
CA Schools: Difference: $6,880; 
Non-CA Schools: 1995- 1996: $33,137; 
Non-CA Schools: 2003-2004: $34,138; 
Non-CA Schools: Difference: $1,001. 

Price; High income; Predicted; 
CA Schools: 1995-1996: $35,538; 
CA Schools: 2003-2004: $41,043; 
CA Schools: Difference: $5,505; 
Non-CA Schools: 1995- 1996: $31,129; 
Non-CA Schools: 2003-2004: $32,582; 
Non-CA Schools: Difference: $1,453. 

Financial aid--; All students; Total grant aid; Observed; 
CA Schools: 1995-1996: $9,142; 
CA Schools: 2003-2004: $9,775; 
CA Schools: Difference: $633; 
Non-CA Schools: 1995-1996: $13,391; 
Non-CA Schools: 2003-2004: $13,960; 
Non-CA Schools: Difference: $569. 

Financial aid--; All students; Total grant aid; Predicted; 
CA Schools: 1995-1996: $10,285; 
CA Schools: 2003-2004: $11,877; 
CA Schools: Difference: $1,592; 
Non-CA Schools: 1995- 1996: $12,181; 
Non-CA Schools: 2003-2004: $13,194; 
Non-CA Schools: Difference: $1,013. 

Financial aid--; All students; Need-based grant aid; Observed; 
CA Schools: 1995-1996: $7,771; 
CA Schools: 2003-2004: $6,439; 
CA Schools: Difference: -$1,332; 
Non-CA Schools: 1995-1996: $11,863; 
Non-CA Schools: 2003-2004: $8,122; 
Non-CA Schools: Difference: -$3,741. 

Financial aid--; All students; Need-based grant aid; Predicted; 
CA Schools: 1995-1996: $7,443; 
CA Schools: 2003-2004: $6,170; 
CA Schools: Difference: -$1,273; 
Non-CA Schools: 1995- 1996: $12,277; 
Non-CA Schools: 2003-2004: $9,151; 
Non-CA Schools: Difference: -$3,126. 

Financial aid--; Total aid; Observed; 
CA Schools: 1995-1996: $16,604; 
CA Schools: 2003-2004: $16,046; 
CA Schools: Difference: -$558; 
Non-CA Schools: 1995- 1996: $19,827; 
Non-CA Schools: 2003-2004: $22,255; 
Non-CA Schools: Difference: $2,428. 

Financial aid--; Total aid; Predicted; 
CA Schools: 1995-1996: $17,998; 
CA Schools: 2003-2004: $17,957; 
CA Schools: Difference: -$41; 
Non-CA Schools: 1995- 1996: $18,425; 
Non-CA Schools: 2003-2004: $20,127; 
Non-CA Schools: Difference: $1,702. 

Source: GAO analysis. 

[End of table] 

[End of section] 

Appendix III: Classification of 1999-2000 Academic Year and Schools 
Only Attending the 568 Group Meetings: 

We conducted tests to determine whether to use data collected in 
academic year 1999-2000 and whether schools that attended meetings of 
the 568 President's group but did not implement the consensus approach 
could be included in our analysis. First, the academic year 1999-2000 
was very close to the establishment of the 568 President's Group, which 
occurred in 1998. The 1999-2000 academic year might have been a 
transitional period, and it would therefore not be appropriate to use 
the data as part of the period before the 568 Group implemented the 
consensus approach. Second, there were five schools, among the schools 
with data available for our econometric analysis, that either only 
attended the 568 Group meetings (Case Western Reserve University, 
Stanford University, and University of Southern California) or were 
members of the 568 Group but had not implemented the CA as of 2003 
(Brown University and Dartmouth College). We therefore investigated 
which group--control or treatment--each of the five schools belonged. 

Does Academic Year 1999-2000 belong to the Pre-or Post-Consensus 
Approach Implementation Period? 

We used the data for sample 4 to investigate if data collected in 1999- 
2000 belonged in the pre-CA period (with data collected in 1995-1996). 
Although both samples 1 and 4 have data for 1995-1996 and 1999-2000, we 
chose sample 4 because it was the larger sample. See table 9 in 
appendix II for the list of the schools in each sample and the academic 
years for which data were available. 

The tests were performed using the Chow test, which is of the 
form:[Footnote 76] 

(1) (See PDF for image) and: 

(2) (See PDF for image). 

Pooling the two groups of data we estimated, 

(3) (See PDF for image): 

where g2 is an indicator variable. 

The test examines the hypothesis that the added coefficients are 
jointly zero: (See PDF for image).  

An insignificant test statistic (a small test statistic and a large p- 
value) suggests that the above equality holds, and there is no 
difference between the estimates for 1999-2000 and the group with which 
it is compared (1995-1996). On the other hand, a significant statistic 
(a large test statistic and a small p-value) suggests that the above 
equality does not hold and the 1999-2000 is different from the group 
with which it is compared (1995-1996). 

We combined 1999-2000 with 1995-1996 and tested if the coefficients for 
1999-2000 differed from that of 1995-1996, using sample 4. The tests 
were done for price, the key variable affecting student outcomes for 
schools. We performed a joint test that the added coefficients in 
equation 3 are jointly zero. The F-value is 1.71, and significant with 
a p-value of 0.0375. This implied that data collected in 1999-2000 did 
not belong to with the 1995-1996 data in the pre-CA period.[Footnote 
77] 

Similarly, we examined if 1999-2000 belonged to the post-CA period by 
combining 1999-2000 with 2003-2004, using sample 3. The F-value of the 
joint test is 8.36, and significant with a p-value of 0.0. This implied 
that 1999-2000 data did not belong to with the 2003-2004 data in the 
post-CA period. 

These results suggest that it was more appropriate to exclude 1999-2000 
from the analysis, implying that samples 1 and 2, which have data for 
the pre-CA period (1995-1996) and the post-CA period (2003-2004) would 
be more appropriate. However, because sample 2 was larger than sample 
1, our subsequent analysis used sample 2. 

Do the Schools That Only Attended the 568 group Meetings belong to the 
Control or Treatment Group? 

We performed an analysis similar to that described above to determine 
whether schools that only attended meetings--Brown University, Case 
Western Reserve University, Dartmouth College, Stanford University, and 
University Southern California (USC)--belonged in the treatment or 
control group. We determined whether the behavior of each of these 
schools was more consistent with the control schools or the treatment 
schools after the consensus approach implementation, using data for 
2003-2004. Since we had determined from the above analysis that samples 
1 and 2 are more appropriate for our subsequent analysis, we focus on 
sample 2, the larger sample, for these tests.[Footnote 78] 

To Which Group Did Brown Belong--Control or Treatment? 

Similar to the analysis in section above, we included Brown in the 
control group and tested if the coefficients for Brown differed from 
the control group. We performed a joint test and obtained an F-value of 
25.68, significant at 0.00. This implied that Brown did not belong to 
the control group. For the treatment group test, the F-value was 7.37, 
significant at 0.00. This also implied that Brown did not belong to the 
treatment group. Thus, Brown did not belong to either the control or 
treatment group. 

To Which Group Did Stanford Belong--Control or Treatment? 

The F-value for the control group test was 19.16, significant at 0.00, 
and the F-value for the treatment group test was 5.59, significant at 
0.00. This implied that Stanford did not belong to either the control 
or treatment group. 

To Which Group Did USC Belong--Control or Treatment? 

We tested for which group USC belonged by excluding the SAT scores 
variable (SCORESAT) from the model since the data were not available 
for 2003-2004. The F-value for the control group test was 23.23, 
significant at 0.00, and the F-value for the treatment group test was 
12.54, significant at 0.00. This implied that USC did not belong to 
either the control or treatment group. 

Based on the above analysis, we determined that the best data for our 
analysis was sample 2, and we excluded all five schools that only 
attended the 568 Group meetings but did not implement the consensus 
approach. 

[End of section] 

Appendix IV: Comments from 568 Presidents' Group: 

Williams College Williamstown, Massachusetts 01267: 

Morton Owen Schapiro: 
President & Professor of Economics: 
P.O. Box 687: 
TEL: (413) 597-4233: 
FAX: (413) 597-4015: 
E-mail: mschapiro@williams.edu: 

September 5, 2006: 

To: Andrea Sykes: 
    United States Government Accountability Office: 

From: Morton Owen Schapiro: 
      Chairman of the 568 Presidents' Group and: 
      President and Professor of Economics, Williams College: 

Re: A Response to the Draft Report on the Activities of the 568 Group: 

Thank you very much for providing the opportunity to respond to your 
draft report on the activities associated with the 568 Presidents' 
Group and its use of the Consensus Approach methodology. As you agreed 
in communication with Jim Belvin, chairman of the 568 Group's Technical 
Committee, your draft report has now been reviewed by a number of 
financial aid directors from 568 schools, by several of our government 
relations experts, and by a group of economists with special expertise 
in education finance (I am a proud member of this last group). I am 
happy to respond on behalf of all these individual reviewers. 

In summary, while we appreciate the fact that the GAO has completed 
another in a long line of careful and objective reports, we have a 
number of questions about the data as presented and analyzed in your 
draft report and, perhaps even more importantly, about its premise and 
tone. 

The Premise for the Study and the Tone of the Draft: 

The anti-trust statute upon which the 568 exemption is granted 
provides, among other things, need-blind institutions the right to 
create a common approach for determining parent ability to pay. We 
believe that the 568 Presidents' Group has developed a carefully 
crafted methodological construct. The 568 Presidents' Group and this 
new methodology have resulted in the following positive outcomes: 

* the aid system is now more transparent, reducing confusion among 
parents and students; 

* by pioneering a variety of new approaches, some adopted nationally 
via The College Board and its institutional methodology, we have 
redefined family ability to pay in a fairer and more logical manner; 

* we have provided the 568 Group's financial aid community with a forum 
for discussing ways in which college applicants and their parents can 
be better served as they seek ways to finance their higher education 
expenses; 

* we have empowered aid directors to exercise carefully defined 
professional judgment in support of students with unusual 
circumstances; 

* we have increased the number of schools that are need-blind as 
several institutions have adopted that practice in order to gain 
membership in the 568 Group community; and: 

* we have engaged college presidents more fully in setting policy for 
the administration and distribution of financial aid grant resources on 
their campuses. 

At the same time, we have avoided the worries raised when the exemption 
was first issued. There is no evidence that exempting our institutions 
from antitrust laws has stifled competition or that there has been any 
collusion aimed at reducing student aid expenditures at member 
institutions. To the contrary, our efforts have led to increased access 
to need-based financial aid, an increase in the average need-based 
grant awarded to students attending both 568 Group and other 
institutions, increased need-based grant funding available to low- 
income students, and increased need-based grant funding for middle- 
income students. 

The combination of a range of positive impacts, along with the complete 
absence of any evidence of individuals being hurt through this limited 
anti-trust exemption, implies strongly that the public interest has 
been served by the 568 exemption. We respectfully suggest that the tone 
of your report - including its title - presents a somewhat misleading 
picture of the substance of your findings. An alternative title could 
be "Schools' Use of the Antitrust Exemption Enhances Transparency and 
Equity Without Increasing the Net Price." 

We turn next to some concerns and suggestions regarding your empirical 
analysis. Those of us experienced in these kinds of studies know very 
well that data limitations hinder even the most careful analyses. 

Treatment and Control Groups-the Selection Process: 

We worry that the selection process for the treatment and control 
institutions may have biased your empirical results. We note, for 
example, that Princeton, the wealthiest (in terms of endowment per 
student) and most generous institution in the country, is included in 
the Control Group while MIT, one of the most generous 568 institutions, 
was left out of the Treatment Group (you indicate that MIT was excluded 
because they failed to submit SAT data while officials at MIT state 
that all data were submitted as requested). We believe that the 
construction of these groups would almost certainly serve to lower 
average grants for the Treatment Group while increasing average grants 
for the Control Group. 

Much is made of the apparent increase in so-called merit awards. In 
reviewing the actions of the Treatment Group, we find that non- 
athletic, merit awards have increased very little, if at all. This 
would appear to be confirmed by Figure 4 on page 18. We do note that 
four of the institutions included in the Treatment Group offer athletic 
merit scholarships while only one of the institutions included in the 
Control Group awards funds based on athletic merit. We believe that 
this fact has served to skew the data by suggesting that non-need-based 
aid funding has increased at a faster rate than has need-based aid. 

Given that almost thirty institutions helped craft the Consensus 
Approach and have implemented it in one fashion or another, analyzing 
the results of only seven almost certainly skews the data. Why, for 
example, include only research universities? And why not include 
Amherst and Williams, both full participants in the creation and 
implementation of the Consensus Approach? 

The Use of Low-Income Students as a Standard of Comparison: 

We have serious worries about the use of low-income students as a 
yardstick for judging the success of the Consensus Approach. While we 
understand that the GAO has every right to choose the standard by which 
the Consensus Approach is judged, we would make several points in this 
regard: 

* The Federal Methodology (FM) establishes maximum aid eligibility for 
students receiving federal funds. This expected family contribution 
(EFC) is based on consideration of the parents' (custodial and step- 
parent if appropriate) and a student's ability to support educational 
expenses during the enrollment period. The Consensus Approach, with the 
exception of assets saved in the student's name, judges only the 
parent's ability to support educational expenses. Summer savings 
expectations, which constitute the largest portion of the student 
contribution, are established individually by Consensus Approach 
schools. As 568 institutions use the Consensus Approach for the Parent 
Contribution rather than EFCs, it is inappropriate to compare EFCs 
established by participating institutions with those established by the 
Federal Methodology. 

* The "overaward provision" embedded in federal Title IV regulations 
establishes an EFC cap for each student receiving federal student aid. 
Institutions may not lower the student's FM EFC without documentable 
cause or the exercising of professional judgment. Further, low-income 
EFCs are almost all income driven. FM does not provide institutions 
with the option of eliminating or reducing reported and continuing 
family income. 

In this regard, it is essential to point out that FM EFCs are not 
always consistent with EFC results as developed by the Consensus 
Approach. In fact, recent changes in the FM state tax tables have 
resulted in FM EFCs that often exceed those generated by the Consensus 
Approach. As a result, 568 institutions are increasingly forced to 
increase contributions above the levels set by the Consensus Approach 
simply to avoid violating the federal Title IV "overaward" provision. 
Said another way, average Consensus Approach contributions are higher 
than they would otherwise be because of the need to comply with the 
federal overaward provision. This, of course, lowers the amount of need-
based grant available to students. 

* The changes to the Institutional Methodology (IM) made by the 568 
Group when creating the Consensus Approach were driven by policy rather 
than results. To that end, we focused on IM policies and practices 
that, in our judgment, failed to recognize the "paying for college" 
realities faced by today's families. The cost-of-living tables 
developed by our group are a perfect example. Although our efforts 
specifically did not target particular income groups, we did make 
common sense changes that we felt would expand access and encourage 
families to look ahead and begin planning for college. These changes 
ultimately affected families with resources, including considerable 
amounts of home equity, funds saved in their children's names, etc. 
Because middle-and upper-middle- income families are more likely to 
have such resources, they are also more likely to benefit from 
Consensus Approach changes. Likewise, low- income families benefit from 
the Consensus Approach if they have or acquire such resources. 

* Finally, we would be remiss if we did not reiterate our concern with 
your interpretation of Congressional intent. In reviewing the exemption 
and the discussions that surrounded the creation and extension of 
Section 568, we did not interpret Congressional intent to have focused 
on making college more affordable for low-income students or other 
under-represented groups. Instead, we understood Congress to have had a 
more general interest in creating a stable environment grounded in 
common sense that reduced confusion among applicant families, began to 
moderate parent contributions, and retained and expanded public 
confidence in need-based aid as a vehicle for helping to insure access 
to higher education opportunities. 

The 568 Presidents' Group Serves as a Workshop for Need-Analysis Theory 
and Practice: 

As noted earlier, the work of the 568 Presidents' Group as reflected in 
the Consensus Approach, has served to influence the more broadly used 
Institutional Methodology. Additionally, many institutions have 
unilaterally incorporated various aspects of the Consensus Approach 
into their individual institutional need-analysis methodologies. The 
effect of this intellectual cross pollination should not be overlooked 
as it has, no doubt, served to reduce the differences in results across 
a wider group of institutions. 

To this point, an important, but overlooked aspect of the 568 exemption 
is that it has allowed qualified institutions to work collectively to 
refine and improve the manner in which family ability to pay is 
defined. Almost all 568 Group institutions are spending additional need-
based grant funds as a result of the more generous Consensus Approach 
and its flattening of parent contributions. Absent the 568 antitrust 
exemption, this important benefit would be lost. 

Data Concerns: 

The following comments address our concerns about data collection and 
interpretation. 

* The study indicates on pages 17-18 that, over five years, average 
need- based grant awards for the Treatment Group increased by 6% while 
costs of attendance increased by 13%. Data available to the 568 Group 
suggest that the former figure may be low. Of the four institutions in 
the Treatment Group that are also members of the Consortium on 
Financing Higher Education (Cornell, Duke, Georgetown, and Yale), data 
from that organization indicate that during the four-year period (2000-
1 to 2004- 5) for which such numbers are available, average grant aid 
increase by 28% (inflation adjusted) from $16,690 to $21,832. While the 
data from the other three non-COFHE schools in the Treatment Group may 
mitigate these figures some, your 6% figure still strikes our 
collective experience and intuition as being far too low. 

* In figure 1, page 7, the cost of attendance includes "family" and 
disability expenses. Federal cost of attendance rules specify that cost-
of-living expenses may include only those incurred by the enrolled 
student, not the family. Disability expenses are included only where 
such expenses can be shown to be non-discretionary and unreimbursed. 

* Table 1, page 8, indicates that a cost-of-living variance is not 
included in the Institutional Methodology. In fact, the Institutional 
Methodology has adopted the cost-of-living tables developed by the 568 
Group. 

* Page 9 notes that twenty-eight schools formed a group that, among 
other things, developed a common methodology for assessing financial 
needs. In fact, the work of the 568 Group has been limited to 
developing a Consensus Approach for determining Parent Contributions. 
Need is a product of many factors, including each institution's cost of 
attendance, summer savings requirements, and packaging policies. 

* Page 10 indicates that membership is open to institutions that, among 
other things "pay membership dues." This is technically incorrect. 
Participating institutions share the Group's expenses but pay no 
membership dues. 

* Footnote 7 on page 10 indicates that Macalester College attended 
meetings but did not join the 568 Group. Although Macalester later 
withdrew from the Group because it was no longer eligible, it was a 
founding member. 

* Paragraph 2 on page 11 indicates that "Some school officials also 
noted that awarding aid only on the basis of need was a very 
contentious issue and would greatly limit the number of schools willing 
to participate in the group." In fact, several 568 institutions make 
merit awards. There have been no discussions about limiting a 
participating institution's desire to award merit aid. 

* Table 3 on page 13 indicates that the Institutional Methodology and 
the Consensus Approach treat divorced and separated parents in the same 
manner. In fact, the Consensus Approach developed an innovative 
approach for such families. This approach has in large part been 
adopted by the Institutional Methodology. 

* Comparing pricing practices at 568 Group schools with those at all 
other private 4-year schools seems inappropriate. There are over a 
thousand independent colleges and universities in the U.S., almost all 
of which are ineligible for 568 Group membership because they are not 
need-blind and few of which would be interested in making use of the 
Consensus Approach or, for that matter, the Institutional Methodology. 

* Figure 3, page 17 indicates that the number of students receiving 
various types of institutional grant aid increased and then decreased 
during the period from 2000 to 2006. While this is likely true, it 
should be noted that this is a predictable result of an improving 
economy. As families' circumstances improve, their ability to support 
educational expenses increases while their aid eligibility decreases. 
The number receiving aid will likewise increase if and when the economy 
declines. 

* In Table 5 and Table 16 the report notes that total need-based grant 
aid is $20,221 higher per student, on average, at CA schools. This 
seems to be inconsistent with other data presented in the report. For 
example, Table 13 indicates that the average need-based grant for 
middle-income students was only $10,767 in 2003-2004. 

* A number of conclusions appear to have been based on a very small 
number of observations, all within one academic year. Table 12 on page 
46, for example, reports on students not receiving aid at CA schools 
using only 19 observations while only 6 observations are used to report 
similar data for non-CA schools. 

Likewise, Table 13 on page 47 characterizes 2003-2004 low-income data 
for CA institutions using only 3 observations. The 2003-2004 lower- 
middle-income data at non-CA schools is based on 5 observations. 

Limitations of the Study: 

Sample Selection Bias: 

This observation states "Furthermore, a key factor that might motivate 
schools to join the 568 Group is the legacy of the Overlap group." (p. 
69) In fact, only six members of the 28 member 568 Group were also 
members of the Overlap group. It should be noted that Overlap group 
institutions actually compared results and tried to agree on a common 
response. Members of the 568 Group have used the antitrust exemption to 
accomplish the purpose for which it was intended, i.e., the creation of 
a common approach to need analysis managed locally by individual 
institutions. Results are not compared nor are they standardized. 

Early Decision Admissions: 

This observation notes "It is likely that early admit students tend to 
pay full price because early decision admission can be used by need- 
blind schools as a screening mechanism to indirectly identify a 
student's willingness-to-pay." (p. 69) Although many 568 institutions 
use the Consensus Approach for early decision, the fact that each of 
these schools is need-blind means that the decision to admit is made 
before aid eligibility is determined. Moreover, early decision programs 
have traditionally resulted in yields far in excess of regular decision 
programs. Yields are often above 90% because students who apply for 
early decision have determined that they will attend if they are 
admitted and offered aid. 

Post-treatment Period: 

The draft report notes "The data were available for only one academic 
year period after implementation of the Consensus Approach. This could 
mask potential effects of the consensus approach since these effects 
could be gradual, rather that immediate, and therefore take time (to) 
for the effects to be captured." (p. 70) We certainly agree with this 
point, but would suggest that no conclusions be reached until 
additional results are available for review. 

Summary: 

Although the 568 Presidents' Group and its Consensus Approach to 
determining parent ability to pay are relatively new phenomena, we 
believe that your study confirms the value of the 568 antitrust 
exemption and the manner in which it has been used. Its successes 
include an increase in average need-based grant funding, enhanced 
transparency, improved ability for families to plan for future 
educational expenses, greater public confidence in need-based aid, more 
engagement by presidents in aid-related discussions, and growth in the 
number of institutions offering need-blind admissions. As a result of 
these successes, we believe that the work of the 568 Presidents' Group 
should be celebrated and promoted. We would encourage you to reflect 
this success in your report to Congress. 

Thank you very much for providing us with the opportunity to respond to 
your draft report.

[End of section] 

Appendix V: Consultants and Peer Reviewers: 

Hashem Dezhbakhsh, Ph.D. 
Professor of Economics: 
Emory University: 

Dennis Epple, Ph.D. 
Thomas Lord Professor of Economics: 
Graduate School of Industrial Administration: 
Carnegie Mellon University: 

Janet Netz, Ph.D. 
Founding Partner: 
ApplEcon LLC: 

Richard Romano, Ph.D. 
Gerald L. Gunter Professor of Economics: 
Department of Economics: 
Warrington College of Business: 
University of Florida: 

Lawrence White, Ph.D. 
Arthur E. Imperatore Professor of Economics: 
Department of Economics: 
Leonard N. Stern School of Business: 
New York University: 

Gordon C. Winston, Ph.D. 
Orrin Sage Professor of Political Economy, Emeritus: 
Director of the Williams Project on the Economics of Higher Education: 
Department of Economics: 
Williams College: 

[End of section] 

Appendix VI: GAO Contact and Staff Acknowledgments: 

GAO Contact: 

Cornelia M. Ashby, Director, (202) 512-7215: 

Staff Acknowledgments: 

The following individuals made important contributions to the report: 
Sherri Doughty, Assistant Director; Andrea Sykes; John A. Karikari; 
Angela Miles; Daniele Schiffman; John Mingus; Dayna Shah; Richard 
Burkard; Susan Bernstein; Rachel Valliere; Robert Alarapon; Thomas 
Weko; and L. Jerome Gallagher. 

[End of section] 

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Morrison, R. "Price Fixing Among Elite Colleges and Universities," The 
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Shepherd, G. "Overlap and Antitrust: Fixing prices in a Smoke-Filled 
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FOOTNOTES 

[1] The schools sued were: Brown University, Columbia University, 
Cornell University, Dartmouth College, Harvard College, Massachusetts 
Institute of Technology, Princeton University, University of 
Pennsylvania, and Yale University. 

[2] U.S. v. Brown, 5 F.3d 658 (3rd Cir. 1993). The Department of 
Justice and MIT subsequently entered into a settlement agreement in 
which MIT agreed to certain "Standards of Conduct." 

[3] Pub. L. No. 103-325 (1992). 

[4] Pub. L. No. 103-382 (1994). 

[5] Pub. L. No. 107-72 (2001). 

[6] Some financial aid is awarded to students based on merit rather 
than financial need. 

[7] The College Board is a not-for-profit membership association 
composed of more than 5,000 schools, colleges, universities, and other 
educational organizations. In conjunction with financial aid 
professionals and economists, the College Board developed its own 
methodology to measure a family's ability to pay for college. 

[8] 568 refers to the section in the Improving America's Schools Act of 
1994 where the exemption is contained. 

[9] These schools were: California Institute of Technology, Case 
Western University, Harvard University, Stanford University, Syracuse 
University, and University of Southern California. 

[10] Participation in the 568 Presidents' Group, however, does not 
prohibit members from awarding merit aid. 

[11] All dollar amounts are in 2005 dollars. Data presented for schools 
using the exemption was collected from 26 of the 28 schools using the 
exemption. 

[12] Other private 4-year schools include not-for-profit institutions 
and do not include for-profit institutions. This set of schools 
includes schools that do not have need-blind admission policies and 
therefore would not be able to participate in activities allowed under 
the exemption. 

[13] Comparable schools include the seven schools selected as control 
schools for our econometric analysis. 

[14] Variation was measured by the standard deviation of the EFCs. 

[15] For a more detailed discussion of our analysis see appendix I. 

[16] GAO's econometric analysis was focused on the mandate from 
Congress that requires us to examine the effects of the exemption. It 
is different from a market-specific analysis conducted in an antitrust 
investigation, and is not intended to address whether or not conduct 
may be taking place that might violate the antitrust laws in the 
absence of the exemption. 

[17] The results were similar for need-based institutional grant aid. 

[18] The discussed effects of the consensus approach are statistically 
significant (i.e., different from zero) at the 5 percent significance 
level or less. 

[19] For a more detailed discussion on our econometric models and the 
limitations of our analysis see appendix II. 

[20] We used the KSMIRNOV command in Stata to perform the tests. 

[21] This theory is consistent with the idea that non-profit 
organizations have an incentive to exercise market power despite not 
directly capturing profits, because the extra resources from exercising 
market power allow them to invest in other areas they deem important; 
e.g., schools may charge high prices to students because it could 
enable them to offer higher salaries to attract high-caliber faculty. 

[22] Student enrollment data was obtained through linear interpolation, 
and faculty data was based on 1998-1999 data. 

[23] Where necessary, the data were supplemented by data from IPEDS. 

[24] Schools were ranked annually based on various criteria (including 
selectivity, faculty and financial resources, graduation rate, and 
alumni satisfaction) in various publications--particularly in the 
USNWR, the Peterson's Four-Year Schools, and the Barron's Profiles of 
American Schools. The rankings of the schools by the different 
publishers were generally similar, but since the data were readily 
available in the USNWR we chose its rankings. Using the published 
rankings helped avoid a possible bias from arbitrarily picking the 
schools. Furthermore, these rankings were widely used and generally 
stable over time. 

[25] Although the observers were not members they attended the group's 
meetings. The former members were Bowdoin College and Macalester 
College. 

[26] Liberal arts schools emphasize undergraduate education and award 
at least half of their degrees in the liberal arts discipline, and most 
are private. National universities offer a wide range of undergraduate 
majors as well as master's and doctoral degrees, and many emphasize 
research. 

[27] The number of schools in the two tiers for each type of school was 
between 50 and 90 for each year. 

[28] We also used endowment data from NACUBO, and school-level data 
from GAO's survey of the schools. 

[29] We used data for students who were enrolled as freshmen, as of 
October of the academic year, in the NPSAS database. 

[30] Although the sample periods used by Hoxby (2000) and Netz (2000) 
are much earlier than what we used, our list of schools is reasonably 
consistent with theirs. Similarly, our list of schools was consistent 
with the schools in the Consortium for Financing Higher Education 
(COFHE), which are some of the most selective private schools in the 
U.S. 

[31] See appendix III for details of the tests. 

[32] We did not separate the effects of the CA into the effects of only 
attending the 568 Group meetings and the effects of only implementing 
the CA, although some schools only attended meetings and had not 
implemented the CA, because in table 9 there are only three schools in 
sample 2 that would serve as treatments or serve as controls if we 
investigate the effects of only attending meetings or the effects of 
only implementing the CA, respectively. 

[33] In addition to having the control schools, we also controlled for 
a number of school characteristics that are discussed below. It is only 
the possibility of changes in differences between treatment and control 
schools that were not measurable or not observable that might lead to 
bias in estimating the effects of the consensus approach 
implementation. For example, schools adopting the consensus approach 
might differ in their objectives concerning their preferred student 
body. As discussed next in the text, the difference-in-difference 
approach provided controls for such possibilities. 

[34] All the dependent variables were from NPSAS, except tuition, which 
was from IPEDS. We used the general price level instead of the price 
index for higher education to adjust the monetary values because the 
former better reflected potential substitution effects between college 
education and other expenditures by households. Furthermore, sector- 
specific price indexes generally tend to be more volatile. 

[35] The tuition amount was the same for all freshmen in a private 
school. 

[36] We also estimated an equation for institutional grant aid 
(AIDINSTGRT) and self-help aid (AIDSELFPLUS). 

[37] We also estimated an equation for need-based institutional aid 
(AIDNDINST) and non-need-based grant aid (AIDNONDTGRT), which was the 
difference between total grant aid and need-based aid. However, we did 
not have enough data to estimate merit-only aid. 

[38] We relied on several previous studies, including Avery and Hoxby 
(2003), Carlton et al. (1995), Bamberger and Carlton (1993), Epple et 
al. (2005), Hill et al. (2005), Hoxby (2000), Kim (2005), Netz (1999, 
2000), Hill and Winston (2001), Morrison (1992), Salop and White 
(1991), Shepherd (1995), and Winston and Hill (2005). 

[39] This variable was from the GAO survey of the CA and non-CA 
schools. 

[40] The CA schools are the 568 schools that have either implemented 
the consensus approach fully or in part by implementing some of the 
options under that need analysis methodology for financial aid. Of the 
seven CA schools in sample 2 in table 9, only three had not fully 
implemented the consensus approach (Georgetown, Vanderbilt, and Wake 
Forest). 

[41] All the school-level variables are from IPEDS. 

[42] The school specific fixed-effects were estimated using the fixed- 
effects estimator, where feasible. This effect captured differences 
among the schools that did not vary over time, such as location, 
memberships in athletic conferences and other organizations such as the 
former Overlap group. Also, several school-level variables could not be 
used in the models because the variables did not vary over time, and 
were therefore expected to be captured by the school specific fixed- 
effects. 

[43] All the student-level variables were from NPSAS. 

[44] We included Native Americans in OTHER because of their relatively 
small numbers. 

[45] To avoid the dummy-variable trap in the estimation, we excluded 
white students from the racial groups, and high-income students from 
the income groups.

[46] The EFC is the federal calculation, which differs significantly 
from the EFC calculated by the CA schools, and to some extent from the 
EFC calculated by the non-CA schools. We found a negative relationship 
between the number of siblings and EFC using the limited data on 
siblings, although the link was not strong. 

[47] The reported values are probability-weighted. 

[48] The reported values are probability-weighted.

[49] The panel data were unbalanced because there were different 
observations on the freshmen for each school in each academic year. An 
important purpose in combining cross-sectional and time series data was 
to control for individual school-specific unobservable effects, which 
may be correlated with the covariates in the models. An advantage of 
using the fixed-effects estimator was that there was no need to assume 
that the unobserved school-specific effects were independent of the 
covariates. However, unlike the random-effects estimator, the fixed- 
effects estimator did not allow the inclusion of time-invariant 
variables, such as the former Overlap group and membership in sports 
associations, as covariates. 

[50] The weights are the probability weights from the number of 
students in the sample for each school, and the robust estimates of the 
standard errors are based on the Huber/White sandwich estimator. All 
estimates were obtained using Stata. 

[51] The same model specification is used to estimate the financial aid 
equations, and tuition equation, which excludes the student-level 
variables. 

[52] In the estimated equations, the interaction terms between EMCA and 
other variables have the suffixes "*;" for example ENDOWSTU* is the 
interaction term between ENDOWSTU and EMCA. 

[53] This effect can be tested as a linear restriction if the joint 
test of significance of EMCA and the terms involving EMCA is 
significant. 

[54] White students are excluded from the race groups in the estimation 
to avoid the dummy trap. 

[55] The effects of these variables on tuition were expected to be 
similar to that of price. On the other hand, the effects of these 
school-level variables on the financial aid variables were expected to 
be opposite to that of price. 

[56] The statistical procedure we used is AREG in Stata. 

[57] The regression estimates for the financial aid variables excluded 
non financial-aid applicants, which reduced the number of observations 
but not the number of schools. Similar results were obtained for the 
price equation when the estimates were based on only financial-aid 
applicants. The regression estimates for tuition were obtained by 
excluding student-level variables because students at a school were 
charged the same tuition. 

[58] The $4,800 decrease is approximately equal to $250,000 x - 
(0.01935). 

[59] As discussed earlier, similar arguments can be obtained for the 
tuition and financial aid variables. 

[60] The model could not be estimated with school specific fixed- 
effects because they predict successes or failures perfectly. 

[61] In the estimated equations, the interaction terms between AY2003 
and other variables have the suffixes "*;" for example INCLO* is the 
interaction term between INCLO and AY2003. 

[62] We could not use the panel data estimation technique for probit 
(XTPROBIT) because of lack of convergence. Similar results were 
obtained when the estimates were based on only students who applied for 
financial-aid. 

[63] Due to lack of sufficient data, we could not obtain separate 
estimates of the effects of attending meetings only or the effects of 
implementing the consensus approach only because it involved only two 
schools--Brown and Stanford. Also, we could not obtain separate 
estimates of the effects of implementing fully or partly the consensus 
approach because only three of the seven CA schools in sample 2 
(Georgetown, Vanderbilt, and Wake Forest) had not fully implemented the 
CA. 

[64] All tests are performed using the 5 percent or lower level of 
significance. 

[65] The results were similar when we limited the data to only students 
who applied for financial aid. 

[66] The effect of the consensus approach implementation on lower- 
middle income was positive and significant at the 10 percent level. We 
performed several tests for the total effects of the consensus approach 
on prices. First, the effect was significant at the 5 percent level 
when data for only students who applied for financial aid were used. 
Second, the total effect of the CA on prices was $3,488 and significant 
at the 5 percent level when ENROLUG and ENROLUG* were excluded from the 
model. Third, because prices are bounded at the lower end at zero and 
at the upper end at the cost of attendance, we also estimated the price 
equation using Tobit regressions. The total effect of the consensus 
approach on prices was negative and insignificant (at the 10 percent 
level). Unlike the fixed-effects estimates, the Tobit estimates were 
unweighted and the standard errors were not robust. 

[67] The results are based on the seven CA and the seven non-CA schools 
in tables 11 and 12. Similar results were obtained when we included the 
schools that had no SAT scores in AY 2003-2004--three CA schools 
(Boston, MIT, and Pennsylvania) and two non-CA schools (Tufts and 
Yeshiva). 

[68] The value of the effect of the CA on institutional grant aid was 
$1,331, but not significant. 

[69] The effect of the CA on need-based institutional aid was generally 
similar to need-based total grant aid. The effect was about $6,020 and 
significant at the 5 percent level, with a confidence interval of 
between $512 and $11,528. 

[70] The value of the effect of the CA on non-need-based grant aid was 
estimated to be about -$6,873, though not significant; the F-test of 
the joint significance of EMCA and its interactive terms had a p-value 
of 14 percent, and the test of the total effect of the CA had a p-value 
of 2.1 percent. 

[71] The value of the effect of the CA implementation on self-help aid 
(loans, including PLUS, and work study) was $1,034, but not 
significant. 

[72] The value of the total effect of the CA on total aid was estimated 
to be about $7,140, though not significant; the F-test of the joint 
significance of EMCA and its interactive terms had a p-value of 20 
percent, and the test of the total effect of the CA had a p-value of 
1.4 percent. 

[73] The results for financial aid applicants are relative to non 
financial aid applicants, those for the income groups are relative to 
the high-income students, and those for the racial groups are relative 
to the white students. 

[74] We tested for the equality of the proportions of CA schools and 
non-CA schools that were members of the former of the Overlap group. We 
used the 11 CA schools and the 14 non-CA schools in samples 1 through 4 
in table 9. The CA schools had 5 Overlap members and the non-CA schools 
had 3 Overlap members. 

[75] See Kim (2005). 

[76] See [Hyperlink, http://www.stata.com/support/faqs/stat/chow3.html] 
for details. 

[77] As expected, the estimates from the pooling (equation 3) are the 
same as for the separate estimates (equations 1 and 2). Also the 
residual variances from equations 1 and 2 were similar, suggesting that 
the pooling was appropriate. This applies to all the other Chow tests 
we performed. 

[78] The test was not performed for Case Western Reserve and Dartmouth 
because they are in samples 4 and 3, respectively. Samples 3 and 4 
cannot be used because there are no data for 1995-1996 and 2003-2004, 
respectively.  

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