@{A,D@}
@end display
-The @cmd{DESCRIPTIVES} procedure reads the active file and outputs
+The @cmd{DESCRIPTIVES} procedure reads the active dataset and outputs
descriptive
statistics requested by the user. In addition, it can optionally
compute Z-scores.
@menu
* BINOMIAL:: Binomial Test
* CHISQUARE:: Chisquare Test
+* COCHRAN:: Cochran Q Test
* FRIEDMAN:: Friedman Test
+* KENDALL:: Kendall's W Test
* KRUSKAL-WALLIS:: Kruskal-Wallis Test
-* WILCOXON:: Wilcoxon Signed Ranks Test
+* MANN-WHITNEY:: Mann Whitney U Test
* RUNS:: Runs Test
* SIGN:: The Sign Test
+* WILCOXON:: Wilcoxon Signed Ranks Test
@end menu
are expected.
+@node COCHRAN
+@subsection Cochran Q Test
+@vindex Cochran
+@cindex Cochran Q test
+@cindex Q, Cochran Q
+
+@display
+ [ /COCHRAN = varlist ]
+@end display
+
+The Cochran Q test is used to test for differences between three or more groups.
+The data for @var{varlist} in all cases must assume exactly two distinct values (other than missing values).
+
+The value of Q will be displayed and its Asymptotic significance based on a chi-square distribution.
+
@node FRIEDMAN
@subsection Friedman Test
@vindex FRIEDMAN
A list of variables which contain the measured data must be given. The procedure prints the sum of ranks for each variable, the test statistic and its significance.
+@node KENDALL
+@subsection Kendall's W Test
+@vindex KENDALL
+@cindex Kendall's W test
+@cindex coefficient of concordance
+
+@display
+ [ /KENDALL = varlist ]
+@end display
+
+The Kendall test investigates whether an arbitrary number of related samples come from the
+same population.
+It is identical to the Friedman test except that the additional statistic W, Kendall's Coefficient of Concordance is printed.
+It has the range [0,1] --- a value of zero indicates no agreement between the samples whereas a value of
+unity indicates complete agreement.
+
+
@node KRUSKAL-WALLIS
@subsection Kruskal-Wallis Test
@vindex KRUSKAL-WALLIS
The abbreviated subcommand K-W may be used in place of KRUSKAL-WALLIS.
-@node WILCOXON
-@subsection Wilcoxon Matched Pairs Signed Ranks Test
-@comment node-name, next, previous, up
-@vindex WILCOXON
-@cindex wilcoxon matched pairs signed ranks test
+@node MANN-WHITNEY
+@subsection Mann-Whitney U Test
+@vindex MANN-WHITNEY
+@vindex M-W
+@cindex Mann-Whitney U test
+@cindex U, Mann-Whitney U
@display
- [ /WILCOXON varlist [ WITH varlist [ (PAIRED) ]]]
+ [ /MANN-WHITNEY = varlist BY var (group1, group2) ]
@end display
-The /WILCOXON subcommand tests for differences between medians of the
-variables listed.
-The test does not make any assumptions about the variances of the samples.
-It does however assume that the distribution is symetrical.
+The Mann-Whitney subcommand is used to test whether two groups of data come from different populations.
+The variables to be tested should be specified in @var{varlist} and the grouping variable, that determines to which group the test variables belong, in @var{var}.
+@var{Var} may be either a string or an alpha variable.
+@var{Group1} and @var{group2} specify the
+two values of @var{var} which determine the groups of the test data.
+Cases for which the @var{var} value is neither @var{group1} or @var{group2} will be ignored.
+
+The value of the Mann-Whitney U statistic, the Wilcoxon W, and the significance will be printed.
+The abbreviated subcommand M-W may be used in place of MANN-WHITNEY.
-If the @code{WITH} keyword is omitted, then tests for all
-combinations of the listed variables are performed.
-If the @code{WITH} keyword is given, and the @code{(PAIRED)} keyword
-is also given, then the number of variables preceding @code{WITH}
-must be the same as the number following it.
-In this case, tests for each respective pair of variables are
-performed.
-If the @code{WITH} keyword is given, but the
-@code{(PAIRED)} keyword is omitted, then tests for each combination
-of variable preceding @code{WITH} against variable following
-@code{WITH} are performed.
@node RUNS
@subsection Runs Test
of variable preceding @code{WITH} against variable following
@code{WITH} are performed.
+@node WILCOXON
+@subsection Wilcoxon Matched Pairs Signed Ranks Test
+@comment node-name, next, previous, up
+@vindex WILCOXON
+@cindex wilcoxon matched pairs signed ranks test
+
+@display
+ [ /WILCOXON varlist [ WITH varlist [ (PAIRED) ]]]
+@end display
+
+The /WILCOXON subcommand tests for differences between medians of the
+variables listed.
+The test does not make any assumptions about the variances of the samples.
+It does however assume that the distribution is symetrical.
+
+If the @code{WITH} keyword is omitted, then tests for all
+combinations of the listed variables are performed.
+If the @code{WITH} keyword is given, and the @code{(PAIRED)} keyword
+is also given, then the number of variables preceding @code{WITH}
+must be the same as the number following it.
+In this case, tests for each respective pair of variables are
+performed.
+If the @code{WITH} keyword is given, but the
+@code{(PAIRED)} keyword is omitted, then tests for each combination
+of variable preceding @code{WITH} against variable following
+@code{WITH} are performed.
+
@node T-TEST
@comment node-name, next, previous, up
@section T-TEST
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