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The PROBIT Procedure

MODEL Statement

      <label:>
MODEL response=effects < / options > ;

      <label:>
MODEL events/trials=effects < / options > ;

AGGREGATE
AGGREGATE= (variable-list)
specifies the subpopulations on which the Pearson chi-square test statistic and the log-likelihood ratio chi-square test statistic (deviance) are calculated if the LACKFIT option is specified. See the section "Rescaling the Covariance Matrix" for details of Pearson's chi-square and deviance calculations.

Observations with common values in the given list of variables are regarded as coming from the same subpopulation. Variables in the list can be any variables in the input data set. Specifying the AGGREGATE option is equivalent to specifying the AGGREGATE= option with a variable list that includes all independent variables in the MODEL statement. The PROBIT procedure sorts the input data set according to the variables specified in this list. Information for the sorted data set is reported in the "Response-Covariate Profile" table.

The deviance and Pearson goodness-of-fit statistics are calculated if the LACKFIT option is specified in the MODEL statement. The calculated results are reported in the "Goodness-of-Fit" table. If the Pearson chi-square test is significant with the test level specified by the HPROB= option, the fiducial limits, if required with the INVERSECL option in the MODEL statement, are modified. Also, the covariance matrix is re-scaled by the dispersion parameter when the SCALE= option is specified.

ALPHA=value
sets the significance level for the confidence intervals for regression parameters, fiducial limits for the predicted values, and confidence intervals for the predicted probabilities. The value must be between 0 and 1. The default value is ALPHA=0.05.

CONVERGE=value
The default is changed to CONVERGE=1E-8.

SCALE= scale
enables you to specify the method for estimating the dispersion parameter. To correct for overdispersion or underdispersion, the covariance matrix is multiplied by the estimate of the dispersion parameter. Valid values for scale are as follows:
D  |  DEVIANCE
specifies that the dispersion parameter be estimated by the deviance divided by its degrees of freedom.

P  |  PEARSON
specifies that the dispersion parameter be estimated by the Pearson chi-square statistic divided by its degrees of freedom. This is set as the default.

You can use the AGGREGATE= option to define the subpopulations for calculating the Pearson chi-square statistic and the deviance.

The "Goodness-of-Fit" table includes the Pearson chi-square statistic, the deviance, their degrees of freedom, the ratio of each statistic divided by its degrees of freedom, and the corresponding p-value.

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