PROC SURVEYLOGISTIC: Cumulative Response Models :: SAS/STAT(R) 9.22 User's Guide

The SURVEYLOGISTIC Procedure

Cumulative Response Models

For a row vector of explanatory variables $\text{[math]}$ , the linear predictor

$\text{[math]}$

is estimated by

$\text{[math]}$

where $\text{[math]}$ and $\text{[math]}$ are the MLEs of $\text{[math]}$ and $\text{[math]}$ . The estimated standard error of $\text{[math]}$ is $\text{[math]}$ , which can be computed as the square root of the quadratic form $\text{[math]}$ , where $\text{[math]}$ is the estimated covariance matrix of the parameter estimates. The asymptotic $\text{[math]}$ confidence interval for $\text{[math]}$ is given by

$\text{[math]}$

where $\text{[math]}$ is the $\text{[math]}$ percentile point of a standard normal distribution.

The predicted value and the $\text{[math]}$ confidence limits for Pr $\text{[math]}$ are obtained by back-transforming the corresponding measures for the linear predictor.

Link	Predicted Probability	$\text{[math]}$ Confidence Limits
LOGIT	$\text{[math]}$	$\text{[math]}$
PROBIT	$\text{[math]}$	$\text{[math]}$
CLOGLOG	$\text{[math]}$	$\text{[math]}$

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