DATAPLOT supports a wide range of graphics commands.

The PLOT command is the primary command for generating 2D graphs. It supports numerous formats and options and is both flexible and powerful. In addition, DATAPLOT provides a large number of specialized graphics formats. These can be broken down into the following 9 categories.

• X-Y Plots

ERROR BAR PLOT Generate a plot with error bars.

VECTOR PLOT Generate a vector plot (pairs of points connected with arrows).

3-D Plots

CONTOUR PLOT Generate a contour plot.

Distributional Plots

... BIHISTOGRAM Generate a bihistogram (absolute or relative frequencies).

... FREQUENCY PLOT Generate a frequency plot (absolute or relative frequencies, cumulative frequencies).

... ROOTOGRAM Generate a rootogram.

STEM AND LEAF PLOT Generate a stem and leaf plot.

PIE CHART Generate a pie chart.

... PROBABILITY PLOT Generate a probability plot (24 distributions).

... PPCC PLOT Generate a probability plot correlation coefficient plot (9 distributions).

NORMAL PLOT Generate a Normal plot (a variation of the normal probability plot).

BOX-COX NORMALITY PLOT Generate a Box-Cox normality plot.

BOX-COX LINEARITY PLOT Generate a Box-Cox linearity plot.

BOX-COX HOMO PLOT Generate a Box-Cox homoscedasticity plot.

PERCENT POINT PLOT Generate a percent point plot (also known as a quantile plot).

QUANTILE-QUANTILE PLOT Generate a quantile-quantile plot.

SYMMETRY PLOT Generate a symmetry plot.

4 PLOT Generate a 4 plot (run sequence plot, lag plot, histogram, normal probability plot on one page).

Time Series

LAG ... PLOT Generate a lag plot.

... CORRELATION PLOT Generate an auto-, cross-, or partial auto-correlation plot.

... SPECTRAL PLOT Generate various types of spectral plots.

... PERIODOGRAM Generate a periodogram plot.

AV PLOT Generate an Allan variance plot.

ASD PLOT Generate an Allan standard deviation plot.

COMPLEX DEMODULATION PLOT Generate a complex demodulation plot.

Multivariate Plots

PROFILE PLOT Generate a profile plot.

STAR PLOT Generate a star plot.

SYMBOL PLOT Generate a symbol plot (plot character attributes such as size and color set by other variables).

Analysis of Variance, Design of Experiments

BOX PLOT Generate a box plot.

DEX ... PLOT Generate design of experiment plots (15 different plot formats).

I PLOT Generate an I plot.

YOUDEN PLOT Generate a Youden plot.

Statistics Plots

BOOTSTRAP ... STATISTIC PLOT Generate a bootstrap plot for a given statistic (for over 30 statistics).

JACKNIFE ... STATISTIC PLOT Generate a jacknife plot for a given statistic (for over 30 statistics).

HOMOSCEDASTICITY PLOT Generate a homoscedasticity plot.

PHASE PLANE DIAGRAM Generate a phase plane diagram.

FRACTAL PLOT Generate a fractal plot.

PARETO PLOT Generate a Pareto plot.

... STATISTIC PLOT Generate a statistic (versus data subset) plot (for over 30 statistics). These plots are documented individually as the AUTOCORRELATION STATISTIC PLOT, AUTOCOVARIANCE PLOT, COUNTS PLOT, CP PLOT, CPK PLOT, DECILE PLOT, EXPECTED LOSS PLOT, EXTREME PLOT, HINGE PLOT, KURTOSIS PLOT, LINEAR CORRELATION PLOT, LINEAR INTERCEPT PLOT, LINEAR RESSD PLOT, LINEAR SLOPE PLOT, MAXIMUM PLOT, MEAN PLOT, MEDIAN PLOT, MIDMEAN PLOT, MIDRANGE PLOT, MINIMUM PLOT, NORMAL PPCC PLOT, PERCENT DEFECTIVE PLOT, PRODUCT PLOT, QUARTILE PLOT, RANGE PLOT, RELATIVE STANDARD DEVIATION PLOT, RELATIVE VARIANCE PLOT, SINE AMPLITUDE PLOT, SINE FREQUENCY PLOT, SKEWNESS PLOT, STANDARD DEVIATION PLOT, STANDARD DEVIATION OF MEAN PLOT, SUM PLOT, TAGUCHI SN0, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00, TRIMMED MEAN PLOT, VARIANCE PLOT, VARIANCE OF THE MEAN PLOT, and WINDSORIZED MEAN PLOT.

6-PLOT Generate 6 plots useful for analyzing fits.

Reliability, Extreme Value Analysis

WEIBULL PLOT Generate a Weibull plot.

CME PLOT Generate a conditional mean exceedance plot.

Quality Control

R CHART Generate a range control chart.

S CHART Generate a standard deviation control chart.

C CONTROL CHART Generate a C control chart.

U CONTROL CHART Generate a U control chart.

P CONTROL CHART Generate an P control chart.

NP CONTROL CHART Generate an NP control chart.

Q ... CONTROL CHART Generate Quesenberry type control charts.

The ... in some of the commands indicates user-defined options for the command, as in

NORMAL PROBABILITY PLOT, UNIFORM PROBABILITY PLOT, etc.

AUTOCORRELATION PLOT, CROSS-CORRELATION PLOT

MEAN CONTROL CHART, RANGE CONTROL CHART, etc.

DATAPLOT provides a great deal of flexibility in controlling the elements of a plot. For example, each plot trace can be drawn as a line, a character, a bar, or a spike. The settings for each of these is independent of the others. The chapter on Plot Control documents the commands for controlling the plot features.

The flexibility in controlling the plot attributes and features means that it is possible to create specialized chart formats not listed above. For example, various types of bar charts can be created from the standard PLOT command (and setting the LINE and BAR attributes appropriately). Check the various LINE, CHARACTER, BAR, and SPIKE attribute setting commands in the Plot Control chapter. It is also straightforward to change the default appearance of the supported charts with these attribute setting commands.

There are separate chapters that discuss topics such as available line styles and plot characters.

Multiple curves per plot

LINES SOLID BLANK

CHARACTER BLANK O

PLOT Y1 Y2 VS X

PLOT Y1 VS X1 AND

PLOT Y2 VS X2

The first plot command draws two curves (Y1 and Y2) against a common x coordinate while the second PLOT command plots two curves with different x coordinates.

When drawing multiple curves, DATAPLOT uses the concept of ``traces.'' A trace is a connected set of points. Points in the same trace are plotted with the same attributes. In the above example, Y1 is trace 1 and Y2 is trace 2. This is used when setting the attributes for a curve. For example, Y1 is drawn as a solid line with no character while Y2 is drawn as an O with no connected line.

The attribute setting commands (LINE, CHARACTER, LINE COLOR, LINE THICKNESS, etc.) specify the attributes for up to 100 traces. When a plot is generated, the first trace uses the first entry from each of the attribute setting commands, the second trace uses the second entries, and so on.

The ability to define traces is also useful in creating specialized chart formats. For example, it is easy to create a curve that is solid, then dashed for a certain number of points, and then solid again. This is done by creating a ``tag'' variable and then entering a command like PLOT Y X TAG. The variable TAG

identifies those points in Y and X which are plotted with common attributes. The documentation for the PLOT command discusses the use of tag variables in more detail.

Overlaying plots

Multiple plots per page

The WINDOW CORNER COORDINATES and the FRAME CORNER COORDINATES commands let you specify the portion of the page to use for the next plot. These can be used in conjunction with the PRE-ERASE OFF command to generate multiple plots per page. These commands are documented in the Plot Control chapter.

Using the WINDOW CORNER COORDINATES (or the FRAME CORNER COORDINATES) command is not as easy as using the MULTIPLOT command, but it is more flexible in that you can position the plot anywhere. This allows you to do some things that the MULTIPLOT command does not. For example, you can draw a small plot inside the frame of regular size plot.

Plotting data subsets

DATAPLOT allows data subsets to be plotted by using the keywords SUBSET, EXCEPT, or FOR. The The SUBSET and EXCEPT keywords selects subsets based on the values of one or more variables. The variable defining the subset need not be one of the variables being plotted. The FOR keyword selects subsets based on the row number (e.g., plot the first 10 rows or plot every fifth row). The use of these keywords is documented in detail in the Keywords chapter of this volume.

ALLAN STANDARD DEVIATION PLOT

DESCRIPTION

delta1 = x(1)-x(2)

delta2 = x(3)-x(4)

delta3 = x(5)-x(6)

...

deltan = x(n-1)-x(n)

For subsample size 2:

delta1 = (x(1)+x(2))-(x(3)+x(4))

delta2 = (x(5)+x(6))-(x(7)+x(8))

...

For subsample size 3:

delta1 = (x(1)+x(2)+x(3))-(x(4)+x(5)+x(6))

delta2 = (x(7)+x(8)+x(9))-(x(10)+x(11)+x(12))

...

The Allan standard deviation plot is usually viewed on a loglog scale. A common frequency domain model for the spectrum S(w) of a low-frequency time series is the power-law:

• S(w) = wa

Time Series Model Slope of Loglog Spectrum Slope of Loglog ASD Plot

a (-a-1)

----------------------------------------------------------------------------------------

Random Walk -2 1

Flicker -1 0

White Noise 0 -1

Super Flicker 1 -2

Super White 2 -3

If one has a time series with a dominant low-frequency component, then the Allan standard deviation plot is a useful tool for assessing the nature of the low-frequency component and for estimating the power (a) of the power-law spectral power-law model. The slope of the Allan standard deviation plot indicates the nature of the underlying time series model.

The response variable must have at least 3 elements.

SYNTAX

ALLAN STANDARD DEVIATION PLOT <y1> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

ALLAN STANDARD DEVIATION PLOT Y

ASD PLOT Y

The Allan variance plot and the Allan standard deviation plot have equivalent information content (and differ only by a factor of 2). The Allan variance plot is more heavily used than the Allan standard deviation plot.

SYNONYMS

RELATED COMMANDS

SPECTRAL PLOT = Generates a spectral plot.

ALLAN VARIANCE PLOT = Generate an Allan variance plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM 1

. THIS IS AN EXAMPLE OF AN ALLAN SD PLOT

. FOR WHITE NOISE DATA S(W) = W**0

. (THUS THE LOGLOG SPECTRUM HAS SLOPE 0 AND

. AND THE ALLAN SD PLOT HAS SLOPE (-(0)-1) = -1

LET Y = NORMAL RANDOM NUMBERS FOR I = 1 1 500

TITLE WHITE NOISE

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

GRID ON; X3LABEL AUTOMATIC

PLOT Y; SPECTRUM Y

LOGLOG; SPECTRUM Y; ALLAN STANDARD DEVIATION PLOT Y

END OF MULTIPLOT

. THIS IS AN EXAMPLE OF AN ALLAN SD PLOT

. FOR RANDOM WALK DATA S(W) = W**(-2)

. (THUS THE LOGLOG SPECTRUM HAS SLOPE -2 AND

. AND THE ALLAN VARIANCE PLOT HAS SLOPE (-(-2)-1) = 1

SKIP 25

READ RANDWALK.DAT Y

TITLE RANDOM WALK

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

GRID ON

X3LABEL AUTOMATIC

PLOT Y

SPECTRUM Y

LOGLOG

SPECTRUM Y

ALLAN STANDARD DEVIATION PLOT Y

END OF MULTIPLOT

. THIS IS AN EXAMPLE OF AN ALLAN SD PLOT

. FOR FLICKER NOISE DATA S(W) = W**(-1)

. (THUS THE LOGLOG SPECTRUM HAS SLOPE -1 AND

. AND THE ALLAN VARIANCE PLOT HAS SLOPE (-(-1)-1) = 0

SKIP 25

READ FLICKER.DAT Y

TITLE FLICKER DATA

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

GRID ON

X3LABEL AUTOMATIC

PLOT Y

SPECTRUM Y

LOGLOG

SPECTRUM Y

ALLAN STANDARD DEVIATION PLOT Y

END OF MULTIPLOT

DESCRIPTION

delta1 = x(1)-x(2)

delta2 = x(3)-x(4)

delta3 = x(5)-x(6)

...

deltan = x(n-1)-x(n)

For subsample size 2:

delta1 = (x(1)+x(2))-(x(3)+x(4))

delta2 = (x(5)+x(6))-(x(7)+x(8))

...

For subsample size 3:

delta1 = (x(1)+x(2)+x(3))-(x(4)+x(5)+x(6))

delta2 = (x(7)+x(8)+x(9))-(x(10)+x(11)+x(12))

...

...

The Allan variance plot is usually viewed on a loglog scale. A common frequency domain model for the spectrum S(w) of a low-frequency time series is the power-law:

• S(w) = wa

Time Series Model Slope of Loglog Spectrum Slope of Loglog AV Plot

a (-a-1)/2

----------------------------------------------------------------------------------------

Random Walk -2 0.5

Flicker -1 0

White Noise 0 -0.5

Super Flicker 1 -1

Super White 2 -1.5

If one has a time series with a dominant low-frequency component, then the Allan variance plot is a useful tool for assessing the nature of the low-frequency component and for estimating the power (a) of the power-law spectral power-law model. The slope of the Allan variance plot indicates the nature of the underlying time series model.

The response variable must have at least 3 elements.

SYNTAX

ALLAN VARIANCE PLOT <y1> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

AV PLOT Y

NOTE 1

The Allan variance plot and the Allan standard deviation plot have equivalent information content (and differ only by a factor of 2). The Allan variance plot is more heavily used than the Allan standard deviation plot.

SYNONYMS

RELATED COMMANDS

SPECTRAL PLOT = Generates a spectral plot.

ALLAN STAND DEVIATION PLOT = Generates an Allan standard deviation plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM 1

. THIS IS AN EXAMPLE OF AN ALLAN VARAIANCE PLOT

. FOR WHITE NOISE DATA S(W) = W**0

. (THUS THE LOGLOG SPECTRUM HAS SLOPE 0 AND

. AND THE ALLAN SD PLOT HAS SLOPE (-(0)-1)/2 = -1/2

LET Y = NORMAL RANDOM NUMBERS FOR I = 1 1 500

TITLE WHITE NOISE

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

GRID ON; X3LABEL AUTOMATIC

PLOT Y; SPECTRUM Y

LOGLOG; SPECTRUM Y; ALLAN VARIANCE PLOT Y

END OF MULTIPLOT

. THIS IS AN EXAMPLE OF AN ALLAN VARIANCE PLOT

. FOR RANDOM WALK DATA S(W) = W**(-2)

. (THUS THE LOGLOG SPECTRUM HAS SLOPE -2 AND

. AND THE ALLAN VARIANCE PLOT HAS SLOPE (-(-2)-1)/2 = 1/2

SKIP 25; READ RANDWALK.DAT Y

TITLE RANDOM WALK

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

GRID ON; X3LABEL AUTOMATIC

PLOT Y; SPECTRUM Y

LOGLOG; SPECTRUM Y; ALLAN VARIANCE PLOT Y

END OF MULTIPLOT

. THIS IS AN EXAMPLE OF AN ALLAN VARIANCE PLOT

. FOR FLICKER NOISE DATA S(W) = W**(-1)

. (THUS THE LOGLOG SPECTRUM HAS SLOPE -1 AND

. AND THE ALLAN VARIANCE PLOT HAS SLOPE (-(-1)-1)/2 = 0

SKIP 25; READ FLICKER.DAT Y

TITLE FLICKER DATA

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

GRID ON; X3LABEL AUTOMATIC

PLOT Y; SPECTRUM Y

LOGLOG; SPECTRUM Y; ALLAN VARIANCE PLOT Y

END OF MULTIPLOT

DESCRIPTION

• Fi(t) = X1i/SQRT(2) + X2i*SIN(t) + X3i*COS(t) + X4i*SIN(2t) + X5i*COS(2t) + ...

SYNTAX

ANDREWS PLOT <y1> <y2> ... <yk> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

ANDREWS PLOT Y1 Y2 Y3 Y4 Y5

ANDREWS PLOT Y1 Y2 Y3 Y4 Y5 SUBSET TAG > 2

NOTE 2

A related plot which is not order dependent is the parallel coordinates plot. The plot is divided into a series of parallel axes (one for each variable). An observation is then generated by plotting its value on each axis and connecting them between axes with a line. Although DATAPLOT does not generate this plot directly, a macro to generate one is demonstrated in program example 2.

With both of these plots, individual cases can be difficult to follow. It can sometimes help to draw the plot for all cases and then draw the plot over various subsets of interest (with the subsets having a limited number of cases).

NOTE 3

NOTE 4

ANDREWS PLOT Y1 TO Y10

SYNONYMS

RELATED COMMANDS

LINES = Sets type for plot lines.

LINE COLOR = Sets color for plot lines.

LINE THICKNESS = Sets thickness for plot lines.

PLOT = Generates a data or function plot.

STAR PLOT = Generates a star plot.

PROFILE PLOT = Generates a profile plot.

ANDREWS INCREMENT = Specify the x axis increment when generating Andrews curves.

``Hyperdimensional Data Analysis Using Parallel Coordinates,'' E. J. Wegman, Journal of the American Statistical Association, 85, 664-675.

APPLICATION

IMPLEMENTATION DATE

PROGRAM 1

ROW LIMITS 26 50

COLUMN LIMITS 20 132

READ AUTO79.DAT Y1 TO Y9

MULTIPLOT 2 3; MULTIPLOT CORNER COORDINATES 0 0 100 100

TITLE AUTOMATIC; TITLE SIZE 3.0

TIC LABEL SIZE 3

XLIMITS -3 3; XTIC OFFSET 0.2 0.2; MAJOR XTIC MARK NUMBER 7

YLIMITS 0 15000; YTIC OFFSET 1000 1000; MAJOR YTIC MARK NUMBER 18

ANDREWS PLOT Y1 TO Y9

LINES SOLID DASH DOT SOLID DASH DOT

LINE THICKNESS 0.1 0.1 0.1 0.3 0.3 0.3

ANDREWS PLOT Y1 TO Y9 FOR I = 1 1 5

ANDREWS PLOT Y1 TO Y9 FOR I = 6 1 10

ANDREWS PLOT Y1 TO Y9 FOR I = 11 1 15

ANDREWS PLOT Y1 TO Y9 FOR I = 16 1 20

ANDREWS PLOT Y1 TO Y9 FOR I = 21 1 25

END OF MULTIPLOT

PROGRAM 2

DIMENSION 20 COLUMNS

LET P = 9

ROW LIMITS 26 50; COLUMN LIMITS 20 132

READ AUTO79.DAT X1 TO X^P

.

LET N = SIZE X1; LET 2N = 2*N; LET TEMP = N + 1

LET Y = 0 FOR I = 1 1 N; LET Y = 1 FOR I = TEMP 1 2N

LET TAG = SEQUENCE 1 1 N FOR I = 1 1 2N

.

LOOP FOR K = 1 1 P

LET M = MEAN X^K; LET SD = STANDARD DEVIATION X^K

LET X^K = (X^K - M)/SD

END OF LOOP

.

LET TEMP = P - 1

MULTIPLOT TEMP 1; MULTIPLOT CORNER COORDINATES 5 5 95 95

FRAME CORNER COORDINATES 5 0 95 100; YFRAME OFF

TIC LABELS OFF; TIC MARKS OFF

YLIMITS 0 1; XLIMITS -3.5 3.5

LEGEND 1 COORDINATES 4.5 98; LEGEND JUSTIFICATION RIGHT; LEGEND SIZE 12

.

LOOP FOR K = P -1 2

LET A = K - 1; LET B = K; LET X = X^A

EXTEND X X^B; LEGEND 1 X^B

PLOT Y X TAG

END OF LOOP

JUSTIFICATION RIGHT; MOVE 4.5 1.5; HEIGHT 12; TEXT X1

END OF MULTIPLOT

HEIGHT; JUSTIFICATION CENTER; MOVE 50 97; TEXT PARALLEL COORDINATES PLOT

ANOP PLOT

DESCRIPTION

Horizontal axis = distinct values (i.e., levels) of the factor variable;

Vertical axis = for each distinct value of horizontal axis, calculate the proportion of the first response variable falling within some user defined limits (i.e., the proportion of successes).

SYNTAX

ANOP PLOT <y1> <tag> <SUBSET/EXCEPT/FOR qualification>

<tag> is a factor variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

ANOP PLOT Y1 TAG

ANOP PLOT Y1 TAG SUBSET TAG > 3

NOTE 2

NOTE 3

NOTE 4

DEFAULT

SYNONYMS

RELATED COMMANDS

ANOP LIMITS = Sets the limits for calculating the proportion.

LINE = Sets the line types.

CHARACTER = Sets the plot characters.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ GEAR.DAT Y1 TAG

ANOP LIMITS 0.99 1.01

CHARACTER CIRCLE BLANK

LINE BLANK SOLID

X1LABEL LEVELS OF FACTOR VARIABLE

Y1LABEL PERCENTAGE OF SUCCESSES

XTIC OFFSET 0.5 0.5

YTIC OFFSET 0.5 0.5

ANOP PLOT Y1 TAG

DESCRIPTION

Vertical axis = subsample autocorrelation;

Horizontal axis = subsample index.

SYNTAX

AUTOCORRELATION STATISTICS PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is a subsample identifier variable (this variable appears on the horizontal axis);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

AUTOCORRELATION STATISTICS PLOT Y X

AUTO STAT PLOT Y X1

DEFAULT

SYNONYMS

RELATED COMMANDS

CHARACTERS = Sets the character symbols for plot characters.

LINES = Sets the line types for plot lines.

MEAN PLOT = Generates a mean versus subset plot.

STANDARD DEVIATION PLOT = Generates a standard deviation versus subset plot.

CORRELATION PLOT = Generates an auto-, cross-, or partial auto-correlation plot.

AUTOCORRELATION = Computes the autocorrelation of a variable.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

READ SUNSPOT.DAT Y MONTH

CHARACTER CIRCLE BLANK

LINE BLANK SOLID

XLIMITS 1 12

XTIC OFFSET 0.5 0.5

X1TIC MARK LABEL FORMAT ALPHA

X1TIC MARK LABEL CONTENTS JAN FEB MARCH APRIL MAY JUNE JULY AUG SEP ...

OCT NOV DEC

MINOR XTIC MARK NUMBER 0

Y1LABEL AUTOCORRELATION

TITLE AUTOMATIC

AUTOCORRELATION STAT PLOT Y MONTH

AUTOCOVARIANCE PLOT

DESCRIPTION

Vertical axis = subsample autocovariance;

Horizontal axis = subsample index.

SYNTAX

AUTOCOVARIANCE PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

where <y> is a response (i.e., dependent) variable;

<x> is a subsample identifier variable (this variable appears on the horizontal axis);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

AUTOCOVARIANCE PLOT Y X

AUTOCOVARIANCE PLOT Y X1 SUBSET X1 > 5

SYNONYMS

AUTOCOVARIANCE STATISTIC PLOT

CHARACTER = Sets the types for plot characters.

LINE = Sets the types for plot lines.

AUTOCOVARIANCE = Computes the autocovariance of a variable.

AUTOCORRELATION STAT PLOT = Generates an autocorrelation versus subset plot.

MEAN PLOT = Generates a mean versus subset plot.

STANDARD DEVIATION PLOT = Generates a standard deviation versus subset plot.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

READ SUNSPOT.DAT Y MONTH

CHARACTER CIRCLE BLANK

LINE BLANK SOLID

XLIMITS 1 12

XTIC OFFSET 0.5 0.5

X1TIC MARK LABEL FORMAT ALPHA

X1TIC MARK LABEL CONTENTS JAN FEB MARCH APRIL MAY JUNE JULY AUG ...

SEP OCT NOV DEC

MINOR XTIC MARK NUMBER 0

Y1LABEL AUTOCOVARIANCE

AUTOCOVARIANCE STAT PLOT Y MONTH

BAR PLOT

PURPOSE

DESCRIPTION

• Standard bar charts (a bar is drawn from the data point to the X axis);

2. Grouped bar charts (bars are drawn for 2 or more groups of data);

3. Stacked (or divided) bar charts (the bar is divided into several intervals).

DATAPLOT provides commands to control the various aspects of the bar (see the RELATED COMMANDS section). Many of these are also demonstrated with the sample programs. The BAR PLOT command treats observations with the same X axis value as a common trace when setting attributes.

SYNTAX

BAR PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is a group identifier variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

BAR PLOT Y X

BAR PLOT Y X SUBSET X > 2

Creating grouped and stacked bars is easier with the PLOT command used in conjunction with the BAR switch. The problem with grouped bars using the BAR PLOT command is that the BAR PLOT essentially functions as a histogram with a fixed width class interval. Setting up the data for groups typically violates this assumption. It can be done by using a separate BAR PLOT command for each group (and using the LIMITS and PRE-ERASE OFF commands). However, it is simpler with the standard PLOT command. The problem with divided bar charts is that it is difficult to give corresponding bars the same fill pattern (the BAR PLOT command gives bars with the same X value the same pattern).

DEFAULT

SYNONYMS

RELATED COMMANDS

PLOT = Generates a data or function plot.

CHARACTERS = Sets the character type for plot points.

LINES = Sets the line type for plot points.

SPIKES = Sets the on/off switches for plot spikes.

BAR = Sets the on/off switches for plot bars.

BAR BASE = Sets the base location for bars on plots

BAR FILL = Sets the on/off switches for plot bar fills.

BAR FILL COLOR = Sets the colors of the bar fills.

BAR DIMENSION = Sets the bar dimension to 2d or 3d.

BAR DIRECTION = Sets the bar direction to horizontal or vertical.

BAR PATTERN = Sets the types for bar fill patterns.

BAR PATTERN COLOR = Sets the colors for bar fill patterns.

BAR PATTERN LINE = Sets the line types for bar fill patterns.

BAR PATTERN SPACING = Sets the line spacings for bar fill patterns.

BAR PATTERN THICK = Sets the line thicknesses for bar fill patterns.

BAR BORDER COLOR = Sets the colors for bar border lines.

BAR BORDER LINE = Sets the types for bar border lines.

BAR BORDER THICKNESS = Sets the line thicknesses for bar border lines.

BAR WIDTH = Sets the width of plot bars.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

ORIENTATION PORTRAIT

LET X = DATA 81 82 83 84 85

LET Y = DATA 2 5 9 15 28

.

YTIC MARK SIZE 1.2

X1TIC MARK LABEL FORMAT ALPHA

XLIMITS 81 85

XTIC OFFSET 1 1

X1TIC LABEL CONTENT 1981 1982 1983 1984 1985

X1LABEL YEAR

MINOR X1TIC MARK NUMBER 0

Y1LABEL SALES (IN MILLIONS OF DOLLARS)

YLIMITS 0 30

MAJOR YTIC MARK NUMBER 4

MINOR YTIC MARK NUMBER 1

.

MULTIPLOT 3 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

.

TITLE BAR CHART WITH NO OPTIONS

BAR PLOT Y X

.

BAR WIDTH .5 ALL

TITLE BAR CHART WITH USER DEFINED BAR WIDTH

BAR PLOT Y X

.

BAR DIMENSION 3 ALL

TITLE BAR CHART WITH 3-DIMENSIONAL EFFECT

BAR PLOT Y X

.

BAR FILL ONTS ALL

TITLE BAR CHART WITH 3-DIMENSIONAL EFFECT, FILLED

BAR PLOT Y X

.

TITLE DEMONSTRATE A FILL PATTERN

BAR DIMENSION 2 ALL

BAR FILL ON ALL

BAR PATTERN HORI VERT D1 D2 D1D2

BAR PATTERN SPACING 1 1 4 4 4

BAR PATTERN THICKNESS 0.1 ALL

BAR PLOT Y X

.

HORIZONTAL SWITCH ON

Y1TIC MARK LABEL FORMAT ALPHA

YLIMITS 81 85

YTIC OFFSET 1 1

Y1TIC LABEL CONTENT 1981 1982 1983 1984 1985

Y1LABEL YEAR

MAJOR Y1TIC MARK NUMBER 5

MINOR Y1TIC MARK NUMBER 0

X1LABEL SALES (IN MILLIONS OF DOLLARS)

XTIC OFFSET 0 0

X1TIC MARK LABEL FORMAT DEFAULT

MINOR X1TIC MARK NUMBER DEFAULT

XLIMITS 0 30

MAJOR XTIC MARK NUMBER 4

MINOR XTIC MARK NUMBER 1

TITLE VERTICAL BAR CHART

BAR PATTERN SOLID ALL

BAR FILL COLOR G15 G30 G45 G60 G75

BAR PLOT Y X

.

MULTIPLOT OFF

... BIHISTOGRAM

DESCRIPTION

There are 2 types of bihistograms:

• bihistogram (absolute frequencies are plotted);

2. relative bihistogram (relative frequencies are plotted).

• the sample sizes do not need to be identical;

2. many distributional aspects may be simultaneously tested--shifts in location, shifts in dispersion, changes in symmetry/skewness, outliers, etc.

BIHISTOGRAM <y1> <y2> <SUBSET/EXCEPT/FOR qualification>

<y2> is the second response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

RELATIVE BIHISTOGRAM <y1> <y2> <SUBSET/EXCEPT/FOR qualification>

<y2> is the second response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

BIHISTOGRAM Y1 Y2

RELATIVE BIHISTOGRAM Y1 Y2

BIHISTOGRAM Y1 Y2 SUBSET AUTO 4

BIHISTOGRAM Y1 Y2 SUBSET STATE < 25

NOTE 2

DEFAULT

SYNONYMS

RELATED COMMANDS

HISTOGRAM = Generates a histogram.

QUANTILE-QUANTILE PLOT = Generates a quantile-quantile plot.

BOX PLOT = Generates a box plot.

YOUDEN PLOT = Generates a Youden plot.

T-TEST = Carries out a 2 sample t test.

ANOVA = Carries out an ANOVA.

PLOT = Generates a data or function plot.

MULTIPLOT = Allows multiple plots per page.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ AUTO83B.DAT Y1 Y2

.

LEGEND 1 COMPARING 2 DISTRIBUTIONS

LEGEND 2 BIHISTOGRAM

.

DELETE Y2 SUBSET Y2 < 0

BIHISTOGRAM Y1 Y2

... BLOCK PLOT

DESCRIPTION

The groups of block plots are centered around the numeric values for the levels of the x1 variable. Within each block, the levels of the <char> variable are plotted as distinct traces at the values of the corresponding response variable. The levels of <char> are identified by using the CHARACTER command (e.g., CHAR 1 2 3; LINE BL BL BL). A box is drawn around the <char> levels for each unique combination of factor levels (this is where the term block plot comes from). The command BAR EXPANSION controls the height and width of the boxes.

SYNTAX 1

BLOCK PLOT <y> <x1> ... <xn> <char> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable in an analysis of variance problem;

<x1> ... <xn> is a sequence of factor variables that define the X axis (there must be at least one, and typically will be between one and three);

<char> represents the levels of an additional factor variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

<stat> BLOCK PLOT <y> <x1> .. <xn> <char> <SUBSET/EXCEPT/FOR qualification>

MEAN, MIDMEAN, MEDIAN,TRIMMED MEAN, WINDSORIZED MEAN,

NUMBER, SUM, PRODUCT, MINIMUM, MAXIMUM,

SD, VARIANCE, RANGE, RELATIVE STANDARD DEVIATION, MIDRANGE,

AVERAGE ABSOLUTE DEVIATION (AAD), MEDIAN ABSOLUTE DEVIATION (MAD),

VARIANCE OF MEAN, STANDARD DEVIATION OF MEAN,

LOWER QUARTILE, UPPER QUARTILE, LOWER HINGE, UPPER HINGE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE,

SKEWNESS, KURTOSIS,

AUTOCORRELATION, AUTOCOVARIANCE,

SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN0, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00;

<y> is the response variable in an analysis of variance problem;

<x1> ... <xn> is a sequence of factor variables that define the X axis (there must be at least one, and typically will be between one and three);

<char> represents the levels of an additional factor variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

BLOCK PLOT Y X1 X2

BLOCK PLOT Y X1 X2 X3

BLOCK PLOT Y X1 X2 X3 X4

MEAN BLOCK PLOT Y X1 X2 X3

When there are multiple factor variables, it can sometimes be beneficial to repeat the block plot using a different variable as the <char> variable.

The BLOCK PLOT command saves the internal parameters HEADS, FACES, TRIALS, TAILPROB, AVEDEL, and SDAVEDEL.

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

BAR EXPANSION = Sets the bar expansion factors.

BOX PLOT = Generates a box plot

YOUDEN PLOT = Generates a Youden plot.

ANOVA = Carries out an ANOVA.

PLOT = Generates a data or function plot.

DEX PLOT = Generates a design of experiments plot.

IMPLEMENTATION DATE

PROGRAM 1

SKIP 25

READ SHEESLE2.DAT Y PROC PLANT SPEED SHIFT PROC

.

CHARACTERS A B

LINE BLANK BLANK

.

XLIMITS 1 2

XTIC OFFSET 0.5 0.5

MAJOR XTIC MARK NUMBER 2

MINOR XTIC MARK NUMBER 0

XTIC LABEL FORMAT ALPHA

XTIC LABEL CONTENT PLANTSP()=SP()1 PLANTSP()=SP()2

.

LEGEND JUSTIFICATION CENTER

LEGEND SIZE 1.8

LEGEND 1 SPEED = 1; LEGEND 1 COORDINATES 25 32

LEGEND 2 SPEED = 2; LEGEND 2 COORDINATES 39 32

LEGEND 3 SHIFT = 1, 2, 3; LEGEND 3 COORDINATES 25 88

LEGEND 4 A = WELD PROCESS 1; LEGEND 4 COORDINATES 16 25

LEGEND 5 B = WELD PROCESS 2; LEGEND 5 COORDINATES 16 22

LEGEND 4 JUSTIFICATION LEFT

LEGEND 5 JUSTIFICATION LEFT

SEGMENT 1 COORDINATES 20 87 30 87

Y1LABEL DEFECTIVE LEAD WIRES

BLOCK PLOT Y PLANT SPEED SHIFT PROC

. STEP 1--READ IN THE DATA

.

SKIP 25

READ BOXCAKE.DAT Y X1 X2 X3 X4 X5

DELETE Y X1 X2 X3 X4 X5 FOR I = 1 1 5

.

MULTIPLOT CORNER COORDINATES 0 0 100 100; MULTIPLOT 2 2

CHAR BLANK ALL

CHAR 1 2

LINES SOLID ALL; LINES BL BL

CHAR SIZE 4 ALL

BAR EXPANSION FACTOR 2 1.5

MEAN BLOCK PLOT Y X4 X5 X1

MEAN BLOCK PLOT Y X4 X5 X2

MEAN BLOCK PLOT Y X4 X5 X3

MULTIPLOT OFF

DESCRIPTION

For the bootstrap plot, the vertical axis contains the computed value of the statistic and the horizontal axis contains the sample number (for k = 1, 2, ..., N). The number of response variables depends on the number of variables required to compute the statistic (e.g., the MEAN uses one while the LINEAR SLOPE uses two). The bootstrap plot is typically followed by some type of distributional plot such as a histogram.

SYNTAX 1

BOOTSTRAP <stat> PLOT <y> <SUBSET/EXCEPT/FOR qualification>

<stat> is one of the following statistics:

MEAN, MIDMEAN, MEDIAN, TRIMMED MEAN, WINDSORIZED MEAN,

SUM, PRODUCT, SIZE (or NUMBER or COUNT), MINIMUM, MAXIMUM,

AVERAGE ABSOLUTE DEVIATION (AAD), MEDIAN ABSOLUTE DEVIATION (MAD),

STANDARD DEVIATION, VARIANCE, STANDARD DEVIATION OF MEAN, VARIANCE OF MEAN,

RELATIVE STANDARD DEVIATION, RELATIVE VARIANCE,

RANGE, MIDRANGE, LOWER HINGE, UPPER HINGE, LOWER QUARTILE, UPPER QUARTILE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE,

SKEWNESS, KURTOSIS,

AUTOCORRELATION, AUTOCOVARIANCE, SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN0 (or SN), TAGUCHI SN+ (or SNL), TAGUCHI SN- (or SNS), TAGUCHI SN00 (or SN2);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

BOOTSTRAP <stat> <y1> <y2> <SUBSET/EXCEPT/FOR qualification>

<y2> is the second response variable;

<stat> is one of the following statistics:

LINEAR INTERCEPT, LINEAR SLOPE, LINEAR RESSD, LINEAR CORRELATION;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

BOOTSTRAP MEAN PLOT Y

BOOTSTRAP LINEAR SLOPE PLOT Y1 X1

The SEED command can be used to specify the seed for generating the random bootstrap samples.

The jacknife is a similar technique. However, it uses a different resampling scheme. See the JACKNIFE PLOT command for details. The bootstrap is generally considered to provide better results than the jacknife, but it involves more computation.

SYNONYMS

RELATED COMMANDS

LINE = Sets the type for plot lines.

HISTOGRAM = Generates a histogram.

BOOTSTRAP SAMPLE = Set the sample size for the bootstrap.

JACKNIFE PLOT = Generate a jacknife plot.

PLOT = Generates a data or function plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM 1

. PURPOSE--CARRY OUT BOOTSTRAP ANALYSIS OF HARVEY MARSHAK

. NUCLEAR THERMOMETRY DATA. (LOCATION ESTIMATION ANALYSIS)

SKIP 25; READ MARSHAK.DAT Y

TITLE NUCLEAR THERMOMETRY; X3LABEL AUTOMATIC

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

BOOTSTRAP MEAN PLOT Y

LET YPLOT2 = YPLOT

HISTOGRAM YPLOT2

BOOTSTRAP MEDIAN PLOT Y

LET YPLOT3 = YPLOT; HISTOGRAM YPLOT3

END OF MULTIPLOT

. PURPOSE--CARRY OUT BOOTSTRAP ANALYSIS OF BERGER ALASKA PIPELINE DATA

. LINEAR FIT SLOPE ANALYSIS

.

SKIP 25

READ BERGER1.DAT Y X

MULTIPLOT 2 2

MULTIPLOT CORNER COORDINATES 0 0 100 100

TITLE ALASKA PIPELINE

CHAR X

LINES

X3LABEL AUTOMATIC

PLOT Y X

LET Y2 = LOG(Y)

LET X2 = LOG(X)

PLOT Y2 X2

BOOTSTRAP LINEAR SLOPE PLOT Y2 X2

LET YPLOT2 = YPLOT

LET S = STANDARD DEVIATION YPLOT2

X2LABEL SD(SLOPE) = 0.022983

HIST YPLOT2

END OF MULIPLOT

DESCRIPTION

A Box-Cox homoscedasticity plot is a graphical technique for determining the Box-Cox transformation that yields the most constant variance of one variable relative to the values of a second variable.

The Box-Cox family is essentially the power-transformation family (adjusted to include log transformations). The form of the family is:

There are various methods for measuring constant variance. The particular method DATAPLOT uses is to divide the first variable into groups with the same value for the second value. For a given value of lambda, the standard deviation is computed for each group. The statistic used is the ratio of the minimum standard deviation to the maximum standard deviation (this ratio will always be between 0 and 1). The plot then consists of this statistic on the vertical axis versus the lambda parameter on the horizontal axis. The lambda corresponding to the highest ratio is the appropriate transformation to use to provide the most constant variance.

This command only applies if there is replication in the second variable.

SYNTAX

BOX-COX HOMOSCEDASTICITY PLOT <y1> <y2> <SUBSET/EXCEPT/FOR qualification>

where <y1> is the dependent variable;

<y2> is the independent variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

BOX-COX HOMOSCEDASTICITY PLOT Y1 Y2

DEFAULT

SYNONYMS

BOX-COX HOMOGENITY PLOT

BOX COX HOMOGENITY PLOT

BOX COX HOMOSCEDASTICITY PLOT

LINES = Sets the types for plot lines.

CHARACTERS = Sets the types for plot characters.

BOX COX LINEARITY PLOT = Generates a Box-Cox linearity plot.

BOX COX NORMALITY PLOT = Generates a Box-Cox normality plot.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ NELSON.DAT Y X1 X2

.

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

FIT Y X2

LINE SOLID BLANK; CHARACTER BLANK X

XTIC OFFSET 5

TITLE LINEAR FIT OF RAW DATA

PLOT PRED Y VS X2

.

TITLE BOX-COX HOMOSCEDASTICITY PLOT

X1LABEL LAMBDA; Y1LABEL HOMOSCEDASTICITY MEASURE

XTIC OFFSET 0

BOX-COX HOMOSCEDASTICTY PLOT Y X2

.

LET YTEMP = MAXIMUM YPLOT

RETAIN XPLOT SUBSET YPLOT = YTEMP

LET LAMBDA = XPLOT(1)

LET Y2 = (Y**LAMBDA - 1)/LAMBDA

FIT Y2 X2

TITLE LINEAR FIT OF TRANSFORMED DATA

X1LABEL; Y1LABEL; XTIC OFFSET 5

PLOT PRED Y2 VS X2

END OF MULTIPLOT

DESCRIPTION

The horizontal axis is the lambda parameter. The vertical axis is the computed correlation coefficient between <y1> and the transformed <y2>. The lambda corresponding to the highest correlation is the appropriate transformation to use in linearizing the relationship between <y1> and <y2>.

SYNTAX

BOX-COX LINEARITY PLOT <y1> <y2> <SUBSET/EXCEPT/FOR qualification>

<y2> is the second response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

NOTE

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the types for plot lines.

CHARACTERS = Sets the types for plot characters.

BOX-COX NORMALITY PLOT = Generates a Box-Cox normality plot.

BOX-COX HOMOSCED PLOT = Generates a Box-Cox homoscedasticity plot.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ BERGER1.DAT Y X

.

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

FIT Y X

LINE SOLID BLANK

CHARACTER BLANK X

TITLE LINEAR FIT OF RAW DATA

PLOT PRED Y VS X

.

TITLE BOX-COX LINEARITY PLOT

X1LABEL LAMBDA

Y1LABEL CORRELATION COEFFICIENT

BOX-COX LINEARITY PLOT Y X

.

LET LAMBDA = 0.5

LET Y2 = (Y**LAMBDA - 1)/LAMBDA

FIT Y2 X

TITLE LINEAR FIT OF TRANSFORMED DATA

X1LABEL

Y1LABEL

PLOT PRED Y2 VS X

END OF MULTIPLOT

BOX-COX NORMALITY PLOT

DESCRIPTION

For each of selected members of the Box-Cox family, the transformation is carried out, a normal probability plot is computed, and the linearity of the normal probability plot is summarized via the correlation coefficient. The resulting normality plot thus consists of:

Vertical axis = normal probability plot correlation coefficient;

Horizontal axis = Box-Cox lambda parameter.

SYNTAX

BOX-COX NORMALITY PLOT <y> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

BOX-COX NORMALITY PLOT Y

SYNONYMS

RELATED COMMANDS

LINES = Sets the types for plot lines.

CHARACTERS = Sets the types for plot characters.

BOX-COX LINEARITY PLOT = Generates a Box-Cox linearity plot.

BOX-COX HOMOSCED PLOT = Generates a Box-Cox homoscedasticity plot.

LET = Transforms variables (and many other options).

PROBABILITY PLOT = Generates a probability plot.

PPCC PLOT = Generates a probability plot correlation coefficient plot.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ AUTO83B.DAT Y1

.

TITLE AUTOMATIC

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

HISTOGRAM Y1

Y1LABEL CORRELATION COEFFICIENT

X1LABEL LAMBDA

BOX-COX NORMALITY PLOT Y1

X1LABEL ; Y1LABEL

LET TEMP = XPLOT

LET ATEMP = MAXIMUM YPLOT

RETAIN TEMP SUBSET YPLOT = ATEMP

LET LAMBDA = TEMP(1)

LET YNEW = (Y1**LAMBDA - 1)/LAMBDA

HISTOGRAM YNEW

END OF MULTIPLOT

... BOX PLOT

DESCRIPTION

Vertical axis = response variable;

Horizontal axis = level identification.

CHARACTERS BOX PLOT

LINES BOX PLOT

An alternate form of the box plot, called a mean box plot, is based on means and standard deviations rather than medians and percentiles. The bottom x is the data minimum; the bottom of the box is the mean minus 2 times the standard deviation, the middle x in the box is the mean of the data; the top of the box is the mean plus 2 times the standard deviation; the top x is the data maximum.

For box plots with more than one group, the width of the box plot is proportional the number of elements in the group.

SYNTAX

BOX PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is a group identifier variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

BOX PLOT Y X

BOX PLOT Y TAG SUBSET TAG > 3

For mean box plots 4 times the standard deviation (the distance from the top of the box to the bottom of the box in the mean box plot) is used in the above formulas instead of the interquartile range.

NOTE 2

NOTE 3

DEFAULT

SYNONYMS

RELATED COMMANDS

CHARACTERS = Sets the types for plot characters.

LINES = Sets the types for plot lines.

I PLOT = Generates an I plot.

ANOVA = Carries out an ANOVA.

MEDIAN POLISH = Carries out a median polish.

CONTROL CHART = Generates a control chart.

PLOT = Generates a data or function plot.

REFERENCE

``Exploratory Data Analysis,'' Tukey, Addison-Wesley, 1977.

IMPLEMENTATION DATE

PROGRAM

SET READ FORMAT 3F4.0,F5.0,F6.0,F3.0,2F9.0

READ PBF11.DAT YEAR DAY BOT SD F11 FLAG WV CO2

RETAIN YEAR DAY BOT SD F11 WV CO2 FLAG SUBSET FLAG 0

LET MONTH=INT(DAY/30.25)+1

LEGEND 1 1-FACTOR MODELING; LEGEND 2 BOX PLOT

CHARACTERS BOX PLOT; LINES BOX PLOT

XLIMITS 0 15; YMINIMUM .995

FENCES ON

BOX PLOT WV MONTH

C CONTROL CHART

DESCRIPTION

Vertical axis = the number defective for each sub-group;

Horizontal axis = sub-group designation.

In addition, horizontal lines are drawn at the mean number of defectives and at the upper and lower control limits. The control limits are calculated as:

where c is the mean number of defectives. Also, zero serves as a lower bound on the LCL.

SYNTAX

C CONTROL CHART <y1> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is a variable containing the sub-group identifier (usually 1, 2, 3, ...);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

C CONTROL CHART Y X

C CONTROL CHART D X SUBSET X > 2

The distribution of the number of defective items is assumed to be Poisson. This assumption is the basis for the calculating the upper and lower control limits.

The U CONTROL CHART is similar to the C CONTROL chart. The distinction is that the C CONTROL CHART is used when the material being measured is constant in area and the sub-groups have equal size. The U CONTROL CHART is used when either of these assumptions is not valid.

The attributes of the 4 traces that make up the C control chart are controlled by the standard LINES, CHARACTERS, SPIKES, and BAR commands. Trace 1 is the response variable, trace 2 is the mean line, and traces 3 and 4 are the upper and lower control limits. Some analysts prefer to draw the response variable as a character or a spike rather than a connected line. The example program demonstrates setting the line attributes (the control lines are drawn as dotted lines).

SYNONYMS

RELATED COMMANDS

U CHART = Generates a U control chart.

P CHART = Generates a P control chart.

NP CHART = Generates an Np control chart.

CONTROL CHART = Generates a mean, standard deviation, or range control chart.

Q CONTROL CHART = Generates Quesenberry style control charts.

CHARACTERS = Sets the types for plot characters.

LINES = Sets the types for plot lines.

SPIKES = Sets the on/off switches for plot spikes.

PLOT = Generates a data or function plot.

``Guide to Quality Control,'' Kaoru Ishikawa, Asian Productivity Organization, 1982 (Chapter 8).

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ CCC.DAT X NUMDEF SIZE

TITLE AUTOMATIC

LINES SOLID SOLID DOT DOT

Y1LABEL NUMBER OF DEFECTIVES

XLABEL SAMPLE ID

XLIMITS 0 20

XTIC OFFSET 0 1

YLIMITS 0 15

YTIC OFFSET 2 0

C CONTROL CHART NUMDEF SIZE X

DESCRIPTION

• CME(x) = E(X-x | X>=x)

An exact functional form for the CME function can often be obtained if the distribution function of the original variable is known. However, what DATAPLOT calculates is the empirical CME function. Given a variable, the following steps are performed:

• the data are sorted into ascending order;

2. at each data point, subtract that value from the remaining data points;

3. calculate the mean of these remaining adjusted data points;

4. plot this series of mean points.

DATAPLOT supports several variations of this plot. In step 3 above, the median or midmean can be substituted for the mean. In addition, steps 3 and 4 can be replaced by simply plotting the adjusted remaining data points at the given point.

SYNTAX 1

CME PLOT <x> <SUBSET/EXCEPT/FOR qualification>

where <x> is a response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

CONDITIONAL MEDIAN EXCEEDANCE PLOT <x> <SUBSET/EXCEPT/FOR qualification>

where <x> is a response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 3

CONDITIONAL MIDMEAN EXCEEDANCE PLOT <x> <SUBSET/EXCEPT/FOR qualification>

where <x> is a response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 4

CONDITIONAL EXCEEDANCE PLOT <x> <SUBSET/EXCEPT/FOR qualification>

where <x> is a response variable;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

CME PLOT Y1

CME PLOT Y1 SUBSET TAG > 1

CONDITIONAL MEDIAN EXCEEDANCE PLOT Y1

CMECC - the correlation coefficient of the fitted line

CMEA0 - the intercept term

CMEA1 - the slope term

SDCMEA0 - the standard deviation of the intercept term

SDCMEA1 - the standard deviation of the slope term

CMERESSD - the residual standard deviation

CMERESDF - the residual degrees of freedom

DEFAULT

SYNONYMS

CONDITIONAL MEAN EXCEEDANCE PLOT

LIFE EXPECTANCY PLOT

MEAN LIFE EXPECTANCY PLOT

MEAN RESIDUAL LIFE PLOT

YANG PLOT

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTERS = Sets the type for plot characters.

TAIL AREA PLOT = Generates a tail area plot.

PLOT = Generates a data or function plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ WASHDC.DAT Y

.

TITLE AUTOMATIC

LINES BLANK ALL

CHARACTER X ALL

MULTIPLOT 2 2; MULTIPLOT CORNER COORD 0 0 100 100

CONDITIONAL EXCEEDANCE PLOT Y

CME PLOT Y

CONDITIONAL MEDIAN EXCEEDANCE PLOT Y

CONDITIONAL MIDMEAN EXCEEDANCE PLOT Y

END OF MULTIPLOT

DESCRIPTION

In this equation, A is the amplitude, f is the phase shift, and W0 is the complex demodulation frequency. Note that A and f vary with time while the complex demodulation frequency is constant. Since A and f are allowed to vary, complex demodulation is sometimes referred to as local harmonic analysis. The goal of complex demodulation is to estimate approximations for At and fit. The mathematical derivations for finding these estimates can be found in the books listed in the REFERENCE section below (DATAPLOT uses the Granger and Hatanaka derivation).

A complex demodulation plot consists of:

Vertical axis = estimated local amplitude or estimated local phase;

Horizontal axis = dummy index 1 to n where n is the number of observations.

• complex demodulation amplitude plot

2. complex demodulation phase plot

COMPLEX DEMODULATION AMPLITUDE PLOT <y> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

COMPLEX DEMODULATION PHASE PLOT <y> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

COMPLEX DEMODULATION AMPLITUDE PLOT Y

COMPLEX DEMODULATION PHASE PLOT Y

LINES BLANK

CHARACTER X

The DEMODULATION FREQUENCY command is required before entering the COMPLEX DEMODULATION PLOT command. The demodulation frequency is the W0 parameter. A spectral plot is typically generated to get an initial estimate for the demodulation frequency.

DEMODULATION FREQUENCY FREQ

LET N = SIZE Y

LET T = SEQUENCE 1 1 N

LET CONST = MEAN Y

COMPLEX DEMODULATION PHASE PLOT Y

LET FREQ = <best estimate>

COMPLEX DEMODULATION AMPLITUDE PLOT Y

LET AMP = best estimate

FIT Y = CONST + AMP*SIN(2*3.14159*FREQ *T + PHASE)

SYNONYMS

RELATED COMMANDS

DEMOD FREQUENCY = Sets the demodulation frequency for a complex demodulation plot.

DEMODF = A parameter where the updated demodulation frequency is stored.

SPECTRUM = Generates a spectral plot.

PERIODOGRAM = Generates a periodogram.

CORRELATION PLOT = Generates a correlation plot.

LAG PLOT = Generates a lag plot.

PLOT = Generates a data or function plot.

CHARACTERS = Sets the types for plot characters.

LINES = Sets the types for plot lines.

LET = Generates sine or cosine transformations (and much more).

FIT = Carries out a least squares fit.

IMPLEMENTATION DATE

REFERENCE

``Fourier Analysis of Time Series: An Introduction,'' Peter Bloomfield, John Wiley and Sons, 1976 (Chapter 6).

PROGRAM

SKIP 25

READ LEW.DAT Y

TITLE AUTOMATIC

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

LINE BLANK; SPIKE ON; LET A = MEAN Y; SPIKE BASE A

PLOT Y

SPIKE OFF; LINE SOLID

SPECTRUM Y

DEMODULATION FREQUENCY .3

COMPLEX DEMODULATION AMPLITUDE PLOT Y

DEMODULATION FREQUENCY .3

COMPLEX DEMODULATION PHASE PLOT Y

END OF MULTIPLOT

CONTOUR PLOT

DESCRIPTION

SYNTAX

CONTOUR PLOT <z> <x> <y> <z0> <SUBSET/EXCEPT/FOR qualification>

<x> is one horizontal axis variable;

<y> is the other horizontal axis variable;

<z0> is the variable of desired contour values;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

CONTOUR PLOT Z X Y Z0

CONTOUR PLOT Z X Y Z0 SUBSET DAY 6 TO 10

CONTOUR PLOT Z X Y Z0 SUBSET Z < 10

• No contour level labels are automatically generated (you have to use the LEGEND command to provide your own).

2. There is no capability for color or pattern filling between contour levels.

3. The user must specify the desired contour levels (DATAPLOT will not automatically set any).

4. The CONTOUR PLOT command does not handle irregularly gridded data. Sometimes the data can be interpolated to form a grid. However, since there are many ways for the data to be irregular, there are various approaches to doing this type of interpolation. The best method to use depends on the particular data set. DATAPLOT currently supports one method for this type of interpolation. See the documentation for the 2D INTERPOLATION command for details.

SYNONYMS

RELATED COMMANDS

LINES = Sets the types for plot lines.

3D-PLOT = Generates a 3-d data or function plot.

PLOT = Generates a data or function plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

LET X = SEQUENCE -4 1 4 FOR I = 1 1 81

LET Y = SEQUENCE -4 9 1 4

LET Z = X**2+Y**2-X*Y

LET Z0 = SEQEUNCE 5 5 40

TITLE AUTOMATIC

CONTOUR PLOT Z X Y Z0

DESCRIPTION

Vertical axis = the mean, range, or standard deviation for each sub-group;

Horizontal axis = sub-group designation.

There are 7 types of control charts available:

• mean control chart;

2. standard deviation control chart;

3. range control chart;

4. C control chart;

5. U control chart;

6. P control chart;

7. NP control chart.

SYNTAX 1

XBAR CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates a mean control chart.

SYNTAX 2

R CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates a range control chart.

SYNTAX 3

S CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates a standard deviation control chart.

SYNTAX 4

C CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates a C control chart.

SYNTAX 5

U CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates a U control chart.

SYNTAX 6

P CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates a P control chart.

SYNTAX 7

NP CONTROL CHART <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is an independent variable (containing the sub-group identifications);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

This syntax generates an NP control chart.

EXAMPLES

XBAR CONTROL CHART Y X

R CONTROL CHART Y X

S CONTROL CHART Y X

For the mean, range, and standard deviation control charts, the distribution of the response variable is assumed to be Normal. For the C and U control charts, the distribution of the response variable is assumed to be Poisson. For the N and NP control charts, the distribution of the response variable is assumed to be binomial. These assumptions are the basis for calculating the upper and lower control limits. Most books on statistical quality control will provide the details on calculating the control limits.

DEFAULT

SYNONYMS

S CHART, STANDARD DEVIATION CONTROL CHART for S CONTROL CHART

R CHART, RANGE CONTROL CHART for RANGE CONTROL CHART

C CHART for C CONTROL HART

U CHART for U CONTROL CHART

P CHART for P CONTROL CHART

NP CHART for NP CONTROL CHART

RELATED COMMANDS

Q ... CONTROL CHART = Generate Quesenberry style control charts.

CHARACTERS = Sets the types for plot characters.

LINES = Sets the types for plot lines.

SPIKES = Sets the on/off switches for plot spikes.

BARS = Sets the on/off switches for plot bars.

PLOT = Generates a data or function plot.

LAG PLOT = Generates a lag plot.

4-PLOT = Generates 4-plot for univariate analysis.

ANOP PLOT = Generates an ANOP plot.

``Guide to Quality Control,'' Kaoru Ishikawa, Asian Productivity Organization, 1982 (Chapter 7).

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ GEAR.DAT DIAMETER BATCH

.

TITLE AUTOMATIC

MULTIPLOT 2 2

MULTIPLOT CORNER COORDINATES 0 0 100 100

PLOT DIAMETER

LINE SOLID SOLID DOT DOT

TITLE MEAN CONTROL CHART

MEAN CONTROL CHART DIAMETER BATCH

TITLE RANGE CONTROL CHART

RANGE CONTROL CHART DIAMETER BATCH

TITLE S CONTROL CHART

STANDARD DEVIATION CONTROL CHART DIAMETER BATCH

END OF MULTIPLOT

DESCRIPTION

• lags for a single time series (an autocorrelation plot);

2. lags for a single time series after removing the linear dependence of intermediate lags (a partial autocorrelation plot);

3. lags for 2 time series (a cross-correlation plot).

Vertical axis = correlation coefficient (a value between -1 and 1);

Horizontal axis = lag (an integer between 1 and n/4 where n is the number of observations).

The autocorrelation plot is used in time series modeling. It can be used in conjunction with the LET and FIT commands to generate Box-Jenkins Auto Regressive (AR) models. It is also used to test for randomness (e.g., autocorrelation plots are often generated for the residuals from a least squares fit). The partial autocorrelation plot is used (typically with the autocorrelation plot as well) in the model identification stage when developing Box-Jenkins ARMA models. Cross-correlation is used for the more complex case of analyzing two distinct time series to see if they are related.

SYNTAX 1

AUTOCORRELATION PLOT <y> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

CROSS-CORRELATION PLOT <y1> <y2> <SUBSET/EXCEPT/FOR qualification>

<y2> is a variable containing the observations for the second time series;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 3

PARTIAL AUTOCORRELATION PLOT <y> <SUBSET/EXCEPT/FOR qualification>

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

AUTOCORRELATION PLOT Y

CROSS-CORRELATION PLOT Y1 Y2

NOTE 2

DATAPLOT writes some conclusions derived from the correlation plot to the file DPCONF.TEX (the name may vary depending on the operating system). This file is opened when DATAPLOT is initially started. However, only a few commands actually write any information to this file.

NOTE 4

NOTE 5

LET LAGS = <value>

LET LAG = <value>

LET NUMLAG = <value>

SYNONYMS

RELATED COMMANDS

SPECTRUM = Generates a spectral plot.

PERIODOGRAM = Generates a periodogram.

COMPLEX DEMODULATION PLOT = Generates a complex demodulation plot.

LAG PLOT = Generates a lag plot.

PLOT = Generates a data or function plot.

4-PLOT = Generates a 4-plot for univariate analysis.

CHARACTERS = Sets the types for plot characters.

LINES = Sets the types for plot lines.

SPIKES = Sets the on/off switches for plot spikes.

SUMMARY = Generates a table of summary statistics.

LET = Generates sine/cosine transformations (and much more).

FIT = Carries out a least squares fit.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM 1

. THIS SAMPLE PROGRAM READS THE FILE LEW.DAT IN THE

. DATAPLOT REFERENCE DIRECTORY. THESE DATA ARE

. BEAM DEFLECTION DATA.

.

SKIP 25

READ LEW.DAT DEFLECT

.

LINE BLANK SOLID DOT DOT

SPIKE ON

SPIKE BASE 0

XLABEL LAG

Y1LABEL AUTOCORRELATION

TITLE AUTOMATIC

.

AUTOCORRELATION PLOT DEFLECT

PROGRAM 2

. THIS SAMPLE PROGRAM READS THE FILE HAYES1.DAT IN THE

. DATAPLOT REFERENCE DIRECTORY. THESE DATA ARE

. FIRE RESEARCH SMOKE OBSCURATION.

.

SKIP 25

READ HAYES1.DAT JUNK Y1 Y2

.

LINE BLANK SOLID DOT DOT

SPIKE ON

SPIKE BASE 0

XLABEL LAG

Y1LABEL CROSS-CORRELATION

TITLE AUTOMATIC

.

CROSS-CORRELATION PLOT Y1 Y2

PROGRAM 3

. THIS SAMPLE PROGRAM READS THE FILE LEW.DAT IN THE

. DATAPLOT REFERENCE DIRECTORY. THESE DATA ARE

. BEAM DEFLECTION DATA.

.

SKIP 25

READ LEW.DAT DEFLECT

.

LINE BLANK SOLID DOT DOT DOT DOT

SPIKE ON

SPIKE BASE 0

XLABEL LAG

Y1LABEL PARTIAL AUTOCORRELATION

.

PARTIAL AUTOCORRELATION PLOT DEFLECT

DESCRIPTION

Vertical axis = subsample size;

Horizontal axis = subsample index.

SYNTAX

COUNTS PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

<x> is the subsample identifier variable (this variable appears on the horizontal axis);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

COUNTS PLOT Y X

COUNTS PLOT Y X SUBSET X > 1

SYNONYMS

RELATED COMMANDS

CHARACTERS = Sets the types for plot characters.

LINES = Sets the types for plot lines.

MEAN PLOT = Generates a mean plot.

MEDIAN PLOT = Generates a median plot.

SD PLOT = Generates a standard deviation plot.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ RIPKEN.DAT BA HORI VERT TYPE HAND

.

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

XLIMITS 1 3

MAJOR XTIC MARK NUMBER 3

MINOR XTIC MARK NUMBER 0

XTIC OFFSET 0.5 0.5

X1TIC MARK LABEL FORMAT ALPHA

LINE BLANK SOLID

CHARACTER CIRCLE BLANK

YLIMITS 0 35

YTIC OFFSET 0 3

.

X1TIC MARK LABEL CONTENT INSIDE MIDDLE OUTSIDE

TITLE COUNTS FOR HORIZONTAL LOCATION

COUNTS PLOT BA HORI

X1TIC MARK LABEL CONTENT LOW MIDDLE HIGH

TITLE COUNTS FOR VERTICAL LOCATION

COUNTS PLOT BA VERT

X1TIC MARK LABEL CONTENT FASTBALL CURVE SP()

TITLE COUNTS FOR PITCH TYPE

COUNTS PLOT BA TYPE

X1TIC MARK LABEL CONTENT LEFT RIGHT SP()

TITLE COUNTS FOR PITCH HAND

COUNTS PLOT BA HAND

.

END OF MULTIPLOT

DESCRIPTION

Vertical axis = subsample Cp index;

Horizontal axis = subsample index.

SYNTAX

CP PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response (= dependent) variable;

<x> is the subsample identifier variable (this variable appears on the horizontal axis);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

CP PLOT Y X

CP PLOT Y X1 SUBSET X1 > 2

• CP = (USL -LSL)/(6S)

NOTE 2

NOTE 3

LET LSL = <value>

LET USL = <value>

DEFAULT

SYNONYMS

RELATED COMMANDS

CHARACTERS = Sets the type for plot characters.

LINES = Sets the type for plot lines.

CAPABILITY ANALYSIS = Generate a capability analysis.

CP = Compute the CP statistic.

CPK PLOT = Generates a Cpk plot.

EXPECTED LOSS PLOT = Generates an expected loss plot.

PERCENT DEFECTIVE PLOT = Generates a percent defective plot.

BOX PLOT = Generates a box plot.

CONTROL CHART = Generate various types of control charts.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ GEAR.DAT DIAMETER BATCH

TITLE CASE ASIS

LABEL CASE ASIS

TITLE Gear Diameter Analysis

Y1LABEL CP; X1LABEL Batch

LEGEND 1 Process Capability

LEGEND 2 CP Plot

XTIC OFFSET 0.5 0.5

CHARACTER X BLANK

LINE BLANK SOLID

LET LSL = 0.98

LET USL = 1.02

CP PLOT Diameter Batch

DESCRIPTION

Vertical axis = subsample Cpk index;

Horizontal axis = subsample index.

The Cpk statistic is used as an alternative to the CP statistic when the specification limits are not symmetric about the mean.

SYNTAX

CPK PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response (= dependent) variable;

<x> is the subsample identifier variable (this variable appears on the horizontal axis);

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

CPK PLOT Y X

CPK PLOT Y X1 SUBSET X1 > 3

• CPK = (MINIMUM(USL - M),(M - LSL))/(3S)

NOTE 2

NOTE 3

LET LSL = <value>

LET USL = <value>

SYNONYMS

RELATED COMMANDS

CHARACTERS = = Sets the type for plot characters.

LINES = = Sets the type for plot lines.

CAPABILITY ANALYSIS = Performs a capability analysis.

CPK = Computes the Cpk statistic,

CP PLOT = = Generates a Cp plot.

EXPECTED LOSS PLOT = = Generates an expected loss plot.

PERCENT DEFECTIVE PLOT = = Generates a percent defective plot.

BOX PLOT = = Generates a box plot.

XBAR CHART = = Generates an xbar control chart.

PLOT = = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ GEAR.DAT DIAMETER BATCH

TITLE CASE ASIS

LABEL CASE ASIS

TITLE Gear Diameter Analysis

Y1LABEL CPK

X1LABEL Batch

LEGEND 1 Process Capability

LEGEND 2 CPK Plot

XTIC OFFSET 0.5 0.5

CHARACTER X BLANK

LINE BLANK SOLID

LET LSL = 0.98

LET USL = 1.02

.

CPK PLOT Diameter Batch

DESCRIPTION

Vertical axis = subsample decile;

Horizontal axis = subsample index.

SYNTAX

<keyword> DECILE PLOT <y> <x> <SUBSET/EXCEPT/FOR qualification>

where <keyword> is FIRST, SECOND, THIRD, FOURTH, FIFTH, SIXTH, SEVENTH, EIGHTH, or NINTH;

<y> is the response (= dependent) variable;

<x> is the subsample identifier variable (this variable appears on the horizontal axis);

EXAMPLES

FIRST DECILE PLOT Y X

NINTH DECILE PLOT Y X1 SUBSET X1 > 2

SYNONYMS

RELATED COMMANDS

CHARACTERS = Sets the type for plot characters.

LINES = Sets the type for plot lines.

LOWER QUARTILE PLOT = Generates a lower quartile plot.

UPPER QUARTILE PLOT = Generates a upper quartile plot.

MINIMUM PLOT = Generates a minimum plot.

MAXIMUM PLOT = Generates a maximum plot.

RANGE PLOT = Generates a range plot.

STANDARD DEVIATION PLOT = Generates a standard deviation plot.

VARIANCE PLOT = Generates a variance plot.

MEAN PLOT = Generates a mean plot.

MEDIAN PLOT = Generates a median plot.

BOX PLOT = Generates a box plot.

S CHART = Generates a standard deviation control chart.

PLOT = Generates a data or function plot.

IMPLEMENTATION DATE

PROGRAM

. PURPOSE--GENERATE A DECILE PLOT OF POINT BARROW FREON-11 DATA

SKIP 50

SET READ FORMAT 3F4.0,F5.0,F6.0,F3.0,2F9.0

READ PBF11.DAT YEAR DAY BOT SD F11 FLAG WV CO2

.

RETAIN YEAR DAY BOT SD F11 WV CO2 FLAG SUBSET FLAG 0

LET MONTH=INT(DAY/30.25)+1

.

CHARACTER X BLANK

LINE BLANK SOLID

XLIMITS 0 15

MULTIPLOT 3 3; MULTIPLOT CORNER COORDINATES 0 0 100 100

TITLE AUTOMATIC

FIRST DECILE PLOT WV MONTH

SECOND DECILE PLOT WV MONTH

THIRD DECILE PLOT WV MONTH

FOURTH DECILE PLOT WV MONTH

FIFTH DECILE PLOT WV MONTH

SIXTH DECILE PLOT WV MONTH

SEVENTH DECILE PLOT WV MONTH

EIGHTH DECILE PLOT WV MONTH

NINTH DECILE PLOT WV MONTH

END OF MULTIPLOT

DESCRIPTION

Vertical axis = value of the response variable;

Horizontal axis = value of the level of a given factor.

• How the response variable varies with the level of the factor;

2. How the response variable varies between factors.

DEX SCATTER PLOT <y> <x1> ... <xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> is a sequence of variables representing factors in a designed experiment;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

DEX SCATTER PLOT Y X1 X2

DEX SCATTER PLOT Y X1 X2 X3

DEX SCATTER PLOT Y X1 X2 X3 X4

DEX SCATTER PLOT Y X1 TO X4

NOTE 2

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

PLOT = Generates a data or function plot.

DEX SIGN PLOT = Generates a dex sign plot.

DEX ... PLOT = Generates a dex plot for a statistic.

DEX ... PARETO PLOT = Generates a Pareto dex plot for a statistic.

DEX ... YOUDEN PLOT = Generates a Youden dex plot for a statistic.

DEX ... EFFECTS PLOT = Generates a dex effects plot for a statistic.

DEX ... PARETO EFFECTS PLOT = Generates a Pareto effects dex plot for a statistic.

DEX ... ABSOLUTE EFFECTS PLOT = Generates an absolute effects dex plot for a statistic.

DEX ... PARE ABSO EFFECTS PLOT = Generates a Pareto absolute effects dex plot for a statistic.

DEX WIDTH = Specifies the width of levels in a dex plot..

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ BOXYIEL2.DAT Y X1 X2

.

TITLE AUTOMATIC

CHARACTERS X BLANK

LINE BLANK SOLID

YLIMITS 75 90

YTIC OFFSET 0 2

Y1LABEL CHEMICAL YIELD

XLIMITS 1 2

XTIC OFFSET 0.5 0.5

MAJOR XTIC MARK NUMBER 2

MINOR XTIC MARK NUMBER 0

XTIC MARK LABEL FORMAT ALPHA

XTIC MARK LABEL CONTENT TIME TEMPERATURE

X1LABEL FACTORS

DEX SCATTER PLOT Y X1 TO X2

DESCRIPTION

Vertical axis = value of the response variable with each level within a factor plotted as a separate trace.

Horizontal axis = factor id (i.e., factor 1 at x=1, factor 2 at x=2, etc.).

• How the response variable varies with the level of the factor;

2. How the response variable varies between factors.

SYNTAX

DEX SIGN PLOT <y> <x1> ... <xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

DEX SIGN PLOT Y X1 X2

DEX SIGN PLOT Y X1 X2 X3

DEX SIGN PLOT Y X1 X2 X3 X4

DEX SIGN PLOT Y X1 TO X4

NOTE 2

NOTE 3

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

DEX SCATTER PLOT = Generates a dex scatter plot.

DEX ... PLOT = Generates a dex plot for a statistic.

DEX ... PARETO PLOT = Generates a Pareto dex plot for a statistic.

DEX ... YOUDEN PLOT = Generates a Youden dex plot for a statistic.

DEX ... EFFECTS PLOT = Generates a dex effects plot for a statistic.

DEX ... PARETO EFFECTS PLOT = Generates a Pareto effects dex plot for a statistic.

DEX ... ABSOLUTE EFFECTS PLOT = Generates an absolute effects dex plot for a statistic.

DEX ... PARE ABSO EFFECTS PLOT = Generates a Pareto absolute effects dex plot for a statistic.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ BOXCHEM.DAT Y X1 X2 X3 X4

CHARACTERS - + BLANK; LINE BLANK BLANK SOLID

YLIMITS 50 90

Y1LABEL PERCENT CONVERSION

YTIC OFFSET 5 5

XLIMITS 1 4

XTIC OFFSET 0.5 0.5

X1LABEL FACTORS

MAJOR XTIC MARK NUMBER 4

MINOR XTIC MARK NUMBER 0

XTIC MARK LABEL FORMAT ALPHA

XTIC MARK LABEL CONTENT CATALYST TEMPERATURE PRESSURE CONCENTRATION

DEX SIGN PLOT Y X1 TO X4

DEX ... ABSOLUTE EFFECTS PLOT

DESCRIPTION

Vertical axis = if there are exactly 2 levels, the effect is the value of the statistic for the lower level subtracted from the value of the statistic for the higher level (and then the absolute value is taken). If there are more than 2 levels, the lowest value of the statistic is subtracted from the highest value of the statistic (this value is always positive);

Horizontal axis = the factor id (i.e., 1 for factor 1, 2 for factor 2 and so on).

• The magnitude of the maximum differences for a given statistic between levels of a factor;

2. How these maximum differences vary between factors.

DEX <stat> ABSOLUTE EFFECTS PLOT <y> <x1> ... < xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

MEAN (or AVERAGE), MIDMEAN, MEDIAN, TRIMMED MEAN, WINDSORIZED MEAN,

SUM, PRODUCT, SIZE (or NUMBER or COUNT), MINIMUM, MAXIMUM,

STANDARD DEVIATION (or SD), VARIANCE,

STANDARD DEVIATION OF MEAN (or SDM), VARIANCE OF MEAN (or VM),

RELATIVE STANDARD DEVIATION (or RELSD),

RELATIVE VARIANCE (or RELV or COEFFICIENT OF VARIATION),

RANGE, MIDRANGE, LOWER HINGE, UPPER HINGE, LOWER QUARTILE, UPPER QUARTILE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE (or 1DEC, 2DEC,

3DEC,4DEC,5DEC,6DEC,7DEC, 8DEC, 9DEC),

SKEWNESS, KURTOSIS, PROPORTION,

AUTOCORRELATION, AUTOCOVARIANCE,

SINE FREQUENCY, SINE AMPLITUDE,

CP, CPK, EXPECTED LOSS, PERCENT DEFECTIVE,

SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

DEX <stat> ABSOLUTE EFFECTS PLOT <y> <x> <x1> ... < xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x> is a second variable used in calculating the statistic (e.g., a linear fit is computed between <y1> and <x));

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

LINEAR INTERCEPT, LINEAR SLOPE, LINEAR RESSD, LINEAR CORRELATION,

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

DEX MEAN ABSOLUTE EFFECTS PLOT Y X1 X2

DEX SD ABSOLUTE EFFECTS PLOT Y X1 X2 X3

DEX RANGE ABSOLUTE EFFECTS PLOT Y X1 X2 X3 X4

DEX RANGE ABSOLUTE EFFECTS PLOT Y X1 TO X4

DEX LINEAR SLOPE ABSOLUTE EFFECTS PLOT Y X X1 TO X4

NOTE 2

NOTE 3

NOTE 4

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

PLOT = Generates a data or function plot.

DEX SCATTER PLOT = Generates a dex scatter plot.

DEX SIGN PLOT = Generates a dex sign plot.

DEX ... PLOT = Generates a dex plot for a statistic.

DEX ... EFFECTS PLOT = Generates a dex effects plot for a statistic.

DEX ... PARETO PLOT = Generates a Pareto dex plot for a statistic.

DEX ... YOUDEN PLOT = Generates a Youden dex plot for a statistic.

DEX ... PARETO EFFECTS PLOT = Generates a Pareto effects dex plot for a statistic.

DEX ... PARE ABSO EFFECTS PLOT = Generates a Pareto absolute effects dex plot for a statistic.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ SHEESLE2.DAT Y PROC PLANT SPEED SHIFT PROC

.

CHARACTERS X ALL

LINES BLANK ALL

LET NFACT = 4

XLIMITS 1 NFACT

MAJOR XTIC MARK NUMBER NFACT

MINOR XTIC MARK NUMBER 0

XTIC OFFSET 1 1

XTIC LABEL FORMAT ALPHA

XTIC LABEL CONTENT PROCESS PLANT SPEED SHIFT

X1LABEL FACTORS

TITLE DEX ABSOLUTE EFFECTS PLOT

.

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

Y1LABEL MEAN

DEX MEAN ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL MEDIAN

DEX MEDIAN ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL STANDARD DEVIATION

DEX SD ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL RANGE

DEX RANGE ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

END OF MULTIPLOT

DEX ... EFFECTS PLOT

DESCRIPTION

Vertical axis = if there are exactly 2 levels, the effect is the value of the statistic for the lower level subtracted from the value of the statistic for the higher level (this can be positive or negative). If there are more than 2 levels, the lowest value of the statistic is subtracted from the highest value of the statistic (this value is always positive);

Horizontal axis = the factor id (i.e., 1 for factor 1, 2 for factor 2 and so on).

• The magnitude of the maximum differences for a given statistic between levels of a factor;

2. How these maximum differences vary between factors.

DEX <stat> EFFECT PLOT <y> <x1> ... <xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

MEAN (or AVERAGE), MIDMEAN, MEDIAN, TRIMMED MEAN, WINDSORIZED MEAN,

SUM, PRODUCT, SIZE (or NUMBER or COUNT), MINIMUM, MAXIMUM,

STANDARD DEVIATION (or SD), VARIANCE,

STANDARD DEVIATION OF MEAN (or SDM), VARIANCE OF MEAN (or VM),

RELATIVE STANDARD DEVIATION (or RELSD),

RELATIVE VARIANCE (or RELV or COEFFICIENT OF VARIATION),

RANGE, MIDRANGE, LOWER HINGE, UPPER HINGE, LOWER QUARTILE, UPPER QUARTILE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE (or 1DEC, 2DEC,

3DEC,4DEC,5DEC,6DEC,7DEC, 8DEC, 9DEC),

SKEWNESS, KURTOSIS, PROPORTION,

AUTOCORRELATION, AUTOCOVARIANCE,

SINE FREQUENCY, SINE AMPLITUDE,

CP, CPK, EXPECTED LOSS, PERCENT DEFECTIVE,

SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

DEX <stat> EFFECTS PLOT <y> <x> <x1> ... < xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x> is a second variable used in calculating the statistic (e.g., a linear fit is computed between <y1> and <x));

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

LINEAR INTERCEPT, LINEAR SLOPE, LINEAR RESSD, LINEAR CORRELATION,

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

DEX MEAN EFFECTS PLOT Y X1 X2

DEX SD EFFECTS PLOT Y X1 X2 X3

DEX RANGE EFFECTS PLOT Y X1 X2 X3 X4

DEX RANGE EFFECTS PLOT Y X1 TO X4

NOTE 2

NOTE 3

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

PLOT = Generates a data or function plot.

DEX SCATTER PLOT = Generates a dex scatter plot.

DEX SIGN PLOT = Generates a dex sign plot.

DEX ... PLOT = Generates a dex plot for a statistic.

DEX ... PARETO PLOT = Generates a Pareto dex plot for a statistic.

DEX ... YOUDEN PLOT = Generates a Youden dex plot for a statistic.

DEX ... PARETO EFFECTS PLOT = Generates a Pareto effects dex plot for a statistic.

DEX ... ABSOLUTE EFFECTS PLOT = Generates an absolute effects dex plot for a statistic.

DEX ... PARE ABSO EFFECTS PLOT = Generates a Pareto absolute effects dex plot for a statistic.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ SHEESLE2.DAT Y PROC PLANT SPEED SHIFT PROC

.

CHARACTERS X ALL

LINES BLANK ALL

LET NFACT = 4

XLIMITS 1 NFACT

MAJOR XTIC MARK NUMBER NFACT

MINOR XTIC MARK NUMBER 0

XTIC OFFSET 1 1

XTIC LABEL FORMAT ALPHA

XTIC LABEL CONTENT PROCESS PLANT SPEED SHIFT

X1LABEL FACTORS

TITLE DEX EFFECTS PLOT

.

MULTIPLOT 2 2

MULTIPLOT CORNER COORDINATES 0 0 100 100

Y1LABEL MEAN

DEX MEAN EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL MEDIAN

DEX MEDIAN EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL STANDARD DEVIATION

DEX SD EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL RANGE

DEX RANGE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

END OF MULTIPLOT

DEX ... PARETO PLOT

DESCRIPTION

Vertical axis = values of the computed statistic for each level of each factor ordered from high to low;

Horizontal axis = an index value (1 for the highest value of the statistic, N for the lowest value of the statistic where N is the total number of levels in all factors).

SYNTAX 1

DEX <stat> PARETO PLOT <y> <x1> ... <xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

MEAN (or AVERAGE), MIDMEAN, MEDIAN, TRIMMED MEAN, WINDSORIZED MEAN,

SUM, PRODUCT, SIZE (or NUMBER or COUNT), MINIMUM, MAXIMUM,

STANDARD DEVIATION (or SD), VARIANCE,

STANDARD DEVIATION OF MEAN (or SDM), VARIANCE OF MEAN (or VM),

RELATIVE STANDARD DEVIATION (or RELSD),

RELATIVE VARIANCE (or RELV or COEFFICIENT OF VARIATION),

RANGE, MIDRANGE, LOWER HINGE, UPPER HINGE, LOWER QUARTILE, UPPER QUARTILE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE (or 1DEC, 2DEC,

3DEC,4DEC,5DEC,6DEC,7DEC, 8DEC, 9DEC),

SKEWNESS, KURTOSIS, PROPORTION,

AUTOCORRELATION, AUTOCOVARIANCE,

SINE FREQUENCY, SINE AMPLITUDE,

CP, CPK, EXPECTED LOSS, PERCENT DEFECTIVE,

SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

DEX <stat> PARETO PLOT <y> <x> <x1> ... < xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x> is a second variable used in calculating the statistic (e.g., a linear fit is computed between <y1> and <x));

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

LINEAR INTERCEPT, LINEAR SLOPE, LINEAR RESSD, LINEAR CORRELATION,

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

DEX MEAN PARETO PLOT Y X1 X2

DEX SD PARETO PLOT Y X1 X2 X3

DEX RANGE PARETO PLOT Y X1 X2 X3 X4

DEX RANGE PARETO PLOT Y X1 TO X4

NOTE 2

NOTE 3

NOTE 4

DEFAULT

SYNONYMS

RELATED COMMANDS

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

PLOT = Generates a data or function plot.

DEX SCATTER PLOT = Generates a dex scatter plot.

DEX SIGN PLOT = Generates a dex sign plot.

DEX ... PLOT = Generates a dex plot for a statistic.

DEX ... YOUDEN PLOT = Generates a Youden dex plot for a statistic.

DEX ... EFFECTS PLOT = Generates a dex effects plot for a statistic.

DEX ... PARETO EFFECTS PLOT = Generates a Pareto effects dex plot for a statistic.

DEX ... ABSOLUTE EFFECTS PLOT = Generates an absolute effects dex plot for a statistic.

DEX ... PARE ABSO EFFECTS PLOT = Generates a Pareto absolute effects dex plot for a statistic.

DEX WIDTH = Specifies the width of levels in a dex plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ SHEESLE2.DAT Y PROC PLANT SPEED SHIFT PROC

.

BAR ON

BAR WIDTH 0.5

LINES BLANK SOLID

TITLE DEX PARETO PLOT

.

MULTIPLOT 2 2

MULTIPLOT CORNER COORDINATES 0 0 100 100

Y1LABEL MEAN

LET A = MEAN Y

BAR BASE A

DEX MEAN PARETO PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL MEDIAN

LET A = MEDIAN Y

BAR BASE A

DEX MEDIAN PARETO PLOT Y PROC PLANT SPEED SHIFT

YLIMITS

Y1LABEL STANDARD DEVIATION

LET A = STANDARD DEVIATION Y

BAR BASE A

DEX SD PARETO PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL RANGE

LET A = RANGE Y

BAR BASE A

DEX RANGE PARETO PLOT Y PROC PLANT SPEED SHIFT

END OF MULTIPLOT

DEX ... PARETO ABSOLUTE EFFECTS PLOT

DESCRIPTION

Vertical axis = if there are exactly 2 levels, the effect is the value of the statistic for the lower level subtracted from the value of the statistic for the higher level (this can be positive or negative). The absolute value of this number is taken. If there are more than 2 levels, the lowest value of the statistic is subtracted from the highest value of the statistic (this value is always positive). The values are then sorted from highest to lowest.

Horizontal axis = the factor id (i.e., 1 for the factor with the highest value, 2 for the factor with the second highest value, and so on).

• The magnitude of the maximum differences for a given statistic between levels of a factor;

2. How these maximum differences vary between factors.

DEX <stat> PARETO ABSOLUTE EFFECTS PLOT <y> <x1> ... <xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

MEAN (or AVERAGE), MIDMEAN, MEDIAN, TRIMMED MEAN, WINDSORIZED MEAN,

SUM, PRODUCT, SIZE (or NUMBER or COUNT), MINIMUM, MAXIMUM,

STANDARD DEVIATION (or SD), VARIANCE,

STANDARD DEVIATION OF MEAN (or SDM), VARIANCE OF MEAN (or VM),

RELATIVE STANDARD DEVIATION (or RELSD),

RELATIVE VARIANCE (or RELV or COEFFICIENT OF VARIATION),

RANGE, MIDRANGE, LOWER HINGE, UPPER HINGE, LOWER QUARTILE, UPPER QUARTILE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE (or 1DEC, 2DEC,

3DEC,4DEC,5DEC,6DEC,7DEC, 8DEC, 9DEC),

SKEWNESS, KURTOSIS, PROPORTION,

AUTOCORRELATION, AUTOCOVARIANCE,

SINE FREQUENCY, SINE AMPLITUDE,

CP, CPK, EXPECTED LOSS, PERCENT DEFECTIVE,

SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

SYNTAX 2

DEX <stat> PARETO ABSOLUTE EFFECTS PLOT <y> <x> <x1> ... < xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x> is a second variable used in calculating the statistic (e.g., a linear fit is computed between <y1> and <x));

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

LINEAR INTERCEPT, LINEAR SLOPE, LINEAR RESSD, LINEAR CORRELATION,

and where the <SUBSET/EXCEPT/FOR qualification> is optional.

EXAMPLES

DEX MEAN PARETO ABSOLUTE EFFECTS PLOT Y X1 X2

DEX SD PARETO ABSOLUTE EFFECTS PLOT Y X1 X2 X3

DEX RANGE PARETO ABSOLUTE EFFECTS PLOT Y X1 X2 X3 X4

DEX RANGE PARETO ABSOLUTE EFFECTS PLOT Y X1 TO X4

NOTE 2

NOTE 3

NOTE 4

DEFAULT

SYNONYMS

DEX ... EFFECTS PARETO ABSOLUTE PLOT

DEX ... EFFECTS ABSOLUTE PARETO PLOT

DEX ... PARETO EFFECTS ABSOLUTE PLOT

DEX ... ABSOLUTE PARETO EFFECTS PLOT

DEX ... ABSOLUTE EFFECTS PARETO PLOT

LINES = Sets the type for plot lines.

CHARACTER = Sets the type for plot characters

PLOT = Generates a data or function plot.

DEX SCATTER PLOT = Generates a dex scatter plot.

DEX SIGN PLOT = Generates a dex sign plot.

DEX ... PLOT = Generates a dex plot for a statistic.

DEX ... PARETO PLOT = Generates a Pareto dex plot for a statistic.

DEX ... YOUDEN PLOT = Generates a Youden dex plot for a statistic.

DEX ... EFFECTS PLOT = Generates an effects dex plot for a statistic.

DEX ... PARETO EFFECTS PLOT = Generates a Pareto effects dex plot for a statistic.

DEX WIDTH = Specifies the width of levels in a dex plot.

APPLICATIONS

IMPLEMENTATION DATE

PROGRAM

SKIP 25

READ SHEESLE2.DAT Y PROC PLANT SPEED SHIFT PROC

.

BAR ON

BAR WIDTH 0.5

LINE BLANK

TITLE DEX PARETO ABSOLUTE EFFECTS PLOT

LET NUMFAC = 4

XLIMITS 1 NUMFAC

MAJOR XTIC MARK NUMBER NUMFAC

MINOR XTIC MARK NUMBER 0

XTIC OFFSET 1 1

XTIC LABEL FORMAT ALPHA

.

MULTIPLOT 2 2; MULTIPLOT CORNER COORDINATES 0 0 100 100

Y1LABEL MEAN

XTIC LABEL CONTENT SHIFT SPEED PLANT PROCESS

DEX MEAN PARETO ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL MEDIAN

XTIC LABEL CONTENT SHIFT SPEED PLANT PROCESS

DEX MEDIAN PARETO ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL STANDARD DEVIATION

XTIC LABEL CONTENT SHIFT PLANT SPEED PROCESS

DEX SD PARETO ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

Y1LABEL RANGE

XTIC LABEL CONTENT SHIFT PLANT SPEED PROCESS

DEX RANGE PARETO ABSOLUTE EFFECTS PLOT Y PROC PLANT SPEED SHIFT

END OF MULTIPLOT

DEX ... PARETO EFFECTS PLOT

DESCRIPTION

Vertical axis = if there are exactly 2 levels, the effect is the value of the statistic for the lower level subtracted from the value of the statistic for the higher level (this can be positive or negative). If there are more than 2 levels, the lowest value of the statistic is subtracted from the highest value of the statistic (this value is always positive). The values are then sorted from highest to lowest.

Horizontal axis = the factor id (i.e., 1 for the factor with the highest value, 2 for the factor with the second highest value, and so on).

• The magnitude of the maximum differences for a given statistic between levels of a factor;

2. How these maximum differences vary between factors.

DEX <stat> PARETO EFFECTS PLOT <y> <x1> ... <xn> <SUBSET/EXCEPT/FOR qualification>

where <y> is the response variable;

<x1> ... <xn> are a sequence of variables representing factors in a designed experiment;

<stat> is one of the following statistics:

MEAN (or AVERAGE), MIDMEAN, MEDIAN, TRIMMED MEAN, WINDSORIZED MEAN,

SUM, PRODUCT, SIZE (or NUMBER or COUNT), MINIMUM, MAXIMUM,

STANDARD DEVIATION (or SD), VARIANCE,

STANDARD DEVIATION OF MEAN (or SDM), VARIANCE OF MEAN (or VM),

RELATIVE STANDARD DEVIATION (or RELSD),

RELATIVE VARIANCE (or RELV or COEFFICIENT OF VARIATION),

RANGE, MIDRANGE, LOWER HINGE, UPPER HINGE, LOWER QUARTILE, UPPER QUARTILE,

<FIRST/SECOND/THIRD/FOURTH/FIFTH/SIXTH/SEVENTH/EIGTH/NINTH> DECILE (or 1DEC, 2DEC,

3DEC,4DEC,5DEC,6DEC,7DEC, 8DEC, 9DEC),

SKEWNESS, KURTOSIS, PROPORTION,

AUTOCORRELATION, AUTOCOVARIANCE,

SINE FREQUENCY, SINE AMPLITUDE,

CP, CPK, EXPECTED LOSS, PERCENT DEFECTIVE,

SINE FREQUENCY, SINE AMPLITUDE,

TAGUCHI SN, TAGUCHI SN+, TAGUCHI SN-, TAGUCHI SN00;

and where the <SUBSET/EXCEPT/FOR qualification> is optional.