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Documents |
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| NCJ Number:
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NCJ 086081
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| Title:
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Estimating Cell Entries in Contingency Tables - Distributional Assumptions vs Marginal Constraints (From Inferring Individual Behavior Grouped Data, 1981, by John Wanat - See NCJ-86079)
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| Author(s):
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J Wanat
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| Corporate Author:
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University of Illinois at Chicago Circle
Dept of Political Science
United States
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| Sponsoring Agency:
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|
| Sale:
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National Institute of Justice/
NCJRS paper reproduction
Box 6000, Dept F
Rockville, MD 20849
United States |
| Publication Date:
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1981 |
| Pages:
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17 |
| Origin:
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United States |
| Language:
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English |
| Grant No.:
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79-NI-AX-0058 |
| Note:
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Available on microfiche as NCJ-86079 |
| Annotation:
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This essay examines the expected values usually used in testing for independence in two-way contingency tables, which commonly involves using a chi-square test. |
| Abstract:
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The chi-square test usually involved in testing for independence in two-way contingency tables measures the goodness of fit between the observed data and the expected values. This study notes that the usually derived expected values in such analyses are based on assumptions about the distributional form and indistinguishability of the counted items, assumptions that may not always be reasonable. Then the paper presents an alternative method of estimating expected values, the most possible estimate approach, that does not rely on a priori assumptions about the distributional form or distinguishability of items being counted. Finally, by establishing that the most possible estimates approximate maximum likelihood estimates, the robustness of the standard ML estimator is demonstrated, and the researcher is thereby assured of safety in using it without attending to distributional assumptions. This analysis applies to 3x3 tables. Mathematical formulas, tabular data, and two bibliographic listings are provided. (Author abstract modified) |
| Index Term(s):
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Estimating methods |
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To cite this abstract, use the following link:
http://www.ncjrs.gov/App/Publications/abstract.aspx?ID=86081
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* A link to the full-text document is provided whenever possible. For documents
not available online, a link to the publisher's web site is provided.
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