PROC SURVEYPHREG: Contrasts :: SAS/STAT(R) 9.22 User's Guide

The SURVEYPHREG Procedure

Contrasts

For a testable hypothesis $\text{[math]}$ , the Wald F statistic is computed as

$\text{[math]}$

where $\text{[math]}$ is a contrast vector or matrix that you specify, $\text{[math]}$ is the vector of regression parameters, $\text{[math]}$ is the estimated regression coefficients, $\text{[math]}$ is the estimated covariance matrix of $\text{[math]}$ , rank( $\text{[math]}$ ) is the rank of $\text{[math]}$ , and $\text{[math]}$ is a matrix such that

$\text{[math]}$ has the same number of columns as $\text{[math]}$
$\text{[math]}$ has full row rank
the rank of $\text{[math]}$ equals the rank of the $\text{[math]}$ matrix
all rows of $\text{[math]}$ are estimable functions
the Wald F statistic computed by using the $\text{[math]}$ matrix is equivalent to the Wald F statistic computed by using the $\text{[math]}$ matrix with any row deleted that is a linear combination of previous rows

If $\text{[math]}$ is a full-rank matrix and all rows of $\text{[math]}$ are estimable functions, then $\text{[math]}$ is the same as $\text{[math]}$ . It is possible that $\text{[math]}$ matrix cannot be constructed for a given set of linear contrasts, in which case the contrasts are not testable.

If the DF=NONE option in the MODEL statement is specified, then the procedure performs a chi-square significance test.

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