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The ROBUSTREG Procedure

MODEL Statement

MODEL response = <effects> </ options> ;

Main effects and interaction terms can be specified in the MODEL statement, as in the GLM procedure ( Chapter 39, The GLM Procedure. ) Classification variables are not allowed in the MODEL statement when you specify MM estimation or LTS estimation by using the METHOD= option in the PROC statement.

The optional label, which must be a valid SAS name, is used to label the model in the OUTEST data set.

You can specify the following options for the model fit.


specifies the significance level for the confidence intervals for regression parameters. The value must be between 0 and 1. By default, ALPHA=0.05.


produces the estimated correlation matrix of the parameter estimates.


produces the estimated covariance matrix of the parameter estimates.


specifies the multiplier of the cutoff value for outlier detection. By default, CUTOFF=3.


requests the outlier diagnostics. By default, only observations identified as outliers or leverage points are displayed. To request that all observations be displayed, specify the ALL option.


displays the iteration history for the iteratively reweighted least squares algorithm used by M and MM estimation. You can also use this option in the PROC statement.


requests an analysis of leverage points for the continuous covariates. The results are added to the diagnostics table, which you can request with the DIAGNOSTICS option in the MODEL statement. You can specify the cutoff value for leverage-point detection with the CUTOFF= option. The default cutoff value is , where can be specified with the CUTOFFALPHA= option. By default, . You can use the QUANTILE= option to specify the quantile to be minimized for the MCD algorithm used for the leverage-point analysis. By default, QUANTILE=, where is the number of observations and is the number of independent variables. The LEVERAGE option is ignored if the model includes classification variables as covariates.

Since the MCD algorithm uses subsampling, it is not suitable to apply the leverage-point analysis to continuous variables that have only a few nonzero values or a few nonzero values within one BY group.


suppresses the computation of goodness-of-fit statistics.


specifies no-intercept regression.


specifies the tolerance for testing singularity of the information matrix and the crossproducts matrix for the initial least squares estimates. Roughly, the test requires that a pivot be at least this value times the original diagonal value. By default, SINGULAR=1.E12.

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