PROC GLM: Weighted Means :: SAS/STAT(R) 9.2 User's Guide, Second Edition

The GLM Procedure

Weighted Means

In previous releases, if you specified a WEIGHT statement and one or more of the multiple comparisons options, PROC GLM estimated the variance of the difference between weighted group means for group $\text{[math]}$ and $\text{[math]}$ as

$\text{[math]}$

where MSE is the (weighted) mean square for error and $\text{[math]}$ is the size of group $\text{[math]}$ . This variance is involved in all of the multiple-comparison methods. Beginning with SAS 6.12, the variance of the difference between weighted group means for group $\text{[math]}$ and $\text{[math]}$ is computed as

$\text{[math]}$

where $\text{[math]}$ is the sum of the weights for the observations in group $\text{[math]}$ .

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