* DESCRIPTIVES:: Descriptive statistics.
* FREQUENCIES:: Frequency tables.
* EXAMINE:: Testing data for normality.
+* CORRELATIONS:: Correlation tables.
* CROSSTABS:: Crosstabulation tables.
* NPAR TESTS:: Nonparametric tests.
* T-TEST:: Test hypotheses about means.
* RANK:: Compute rank scores.
* REGRESSION:: Linear regression.
* RELIABILITY:: Reliability analysis.
+* ROC:: Receiver Operating Characteristic.
@end menu
@node DESCRIPTIVES
For instance, @code{/NTILES=4} would cause quartiles to be reported.
The HISTOGRAM subcommand causes the output to include a histogram for
-each specified variable. The X axis by default ranges from the
+each specified numeric variable. The X axis by default ranges from the
minimum to the maximum value observed in the data, but the MINIMUM and
MAXIMUM keywords can set an explicit range. The Y axis by default is
labeled in frequencies; use the PERCENT keyword to causes it to be
labeled in percent of the total observed count. Specify NORMAL to
superimpose a normal curve on the histogram.
+Histograms are not created for string variables.
The PIECHART adds a pie chart for each variable to the data. Each
slice represents one value, with the size of the slice proportional to
there are many distinct values, then @cmd{EXAMINE} will produce a very
large quantity of output.
+@node CORRELATIONS
+@section CORRELATIONS
+
+@vindex CORRELATIONS
+@display
+CORRELATIONS
+ /VARIABLES = varlist [ WITH varlist ]
+ [
+ .
+ .
+ .
+ /VARIABLES = varlist [ WITH varlist ]
+ /VARIABLES = varlist [ WITH varlist ]
+ ]
+
+ [ /PRINT=@{TWOTAIL, ONETAIL@} @{SIG, NOSIG@} ]
+ [ /STATISTICS=DESCRIPTIVES XPROD ALL]
+ [ /MISSING=@{PAIRWISE, LISTWISE@} @{INCLUDE, EXCLUDE@} ]
+@end display
+
+@cindex correlation
+The @cmd{CORRELATIONS} procedure produces tables of the Pearson correlation coefficient
+for a set of variables. The significance of the coefficients are also given.
+
+At least one VARIABLES subcommand is required. If the WITH keyword is used, then a non-square
+correlation table will be produced.
+The variables preceding WITH, will be used as the rows of the table, and the variables following
+will be the columns of the table.
+If no WITH subcommand is given, then a square, symmetrical table using all variables is produced.
+
+
+The @cmd{MISSING} subcommand determines the handling of missing variables.
+If INCLUDE is set, then user-missing values are included in the
+calculations, but system-missing values are not.
+If EXCLUDE is set, which is the default, user-missing
+values are excluded as well as system-missing values.
+This is the default.
+
+If LISTWISE is set, then the entire case is excluded from analysis
+whenever any variable specified in the any @cmd{/VARIABLES} subcommand
+contains a missing value.
+If PAIRWISE is set, then a case is considered missing only if either of the
+values for the particular coefficient are missing.
+The default is PAIRWISE.
+
+The PRINT subcommand is used to control how the reported significance values are printed.
+If the TWOTAIL option is used, then a two-tailed test of significance is
+printed. If the ONETAIL option is given, then a one-tailed test is used.
+The default is TWOTAIL.
+
+If the NOSIG option is specified, then correlation coefficients with significance less than
+0.05 are highlighted.
+If SIG is specified, then no highlighting is performed. This is the default.
+
+@cindex covariance
+The STATISTICS subcommand requests additional statistics to be displayed. The keyword
+DESCRIPTIVES requests that the mean, number of non-missing cases, and the non-biased
+estimator of the standard deviation are displayed.
+These statistics will be displayed in a separated table, for all the variables listed
+in any /VARIABLES subcommand.
+The XPROD keyword requests cross-product deviations and covariance estimators to
+be displayed for each pair of variables.
+The keyword ALL is the union of DESCRIPTIVES and XPROD.
@node CROSSTABS
@section CROSSTABS
subcommand.
In general mode, numeric and string variables may be specified on
-TABLES. Although long string variables are allowed, only their
-initial short-string parts are used. In integer mode, only numeric
-variables are allowed.
+TABLES. In integer mode, only numeric variables are allowed.
The MISSING subcommand determines the handling of user-missing values.
When set to TABLE, the default, missing values are dropped on a table by
+@node ROC
+@section ROC
+
+@vindex ROC
+@cindex Receiver Operating Characterstic
+@cindex Area under curve
+
+@display
+ROC @var{var_list} BY @var{state_var} (@var{state_value})
+ /PLOT = @{ CURVE [(REFERENCE)], NONE @}
+ /PRINT = [ SE ] [ COORDINATES ]
+ /CRITERIA = [ CUTOFF(@{INCLUDE,EXCLUDE@}) ]
+ [ TESTPOS (@{LARGE,SMALL@}) ]
+ [ CI (@var{confidence}) ]
+ [ DISTRIBUTION (@{FREE, NEGEXPO @}) ]
+ /MISSING=@{EXCLUDE,INCLUDE@}
+@end display
+
+
+The @cmd{ROC} command is used to plot the receiver operating characteristic curve
+of a dataset, and to estimate the area under the curve.
+This is useful for analysing the efficacy of a variable as a predictor of a state of nature.
+
+The mandatory @var{var_list} is the list of predictor variables.
+The variable @var{state_var} is the variable whose values represent the actual states,
+and @var{state_value} is the value of this variable which represents the positive state.
+
+The optional subcommand PLOT is used to determine if and how the ROC curve is drawn.
+The keyword CURVE means that the ROC curve should be drawn, and the optional keyword REFERENCE,
+which should be enclosed in parentheses, says that the diagonal reference line should be drawn.
+If the keyword NONE is given, then no ROC curve is drawn.
+By default, the curve is drawn with no reference line.
+
+The optional subcommand PRINT determines which additional tables should be printed.
+Two additional tables are available.
+The SE keyword says that standard error of the area under the curve should be printed as well as
+the area itself.
+In addition, a p-value under the null hypothesis that the area under the curve equals 0.5 will be
+printed.
+The COORDINATES keyword says that a table of coordinates of the ROC curve should be printed.
+
+The CRITERIA subcommand has four optional parameters:
+@itemize @bullet
+@item The TESTPOS parameter may be LARGE or SMALL.
+LARGE is the default, and says that larger values in the predictor variables are to be
+considered positive. SMALL indicates that smaller values should be considered positive.
+
+@item The CI parameter specifies the confidence interval that should be printed.
+It has no effect if the SE keyword in the PRINT subcommand has not been given.
+
+@item The DISTRIBUTION parameter determines the method to be used when estimating the area
+under the curve.
+There are two possibilities, @i{viz}: FREE and NEGEXPO.
+The FREE method uses a non-parametric estimate, and the NEGEXPO method a bi-negative
+exponential distribution estimate.
+The NEGEXPO method should only be used when the number of positive actual states is
+equal to the number of negative actual states.
+The default is FREE.
+
+@item The CUTOFF parameter is for compatibility and is ignored.
+@end itemize
+
+The MISSING subcommand determines whether user missing values are to
+be included or excluded in the analysis. The default behaviour is to
+exclude them.
+Cases are excluded on a listwise basis; if any of the variables in @var{var_list}
+or if the variable @var{state_var} is missing, then the entire case will be
+excluded.
+
+