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10-21-2011 04:58 AM

Hi everyone,

I'm estimating a simple unbalanced GLM model with no empty cells defined as y= intercept + A + B +A*B (Factor A has three levels A1, A2, A3), Factor B has 2 levels B1 and B2)) with

n11=2, n12=1, n21=1, n22=2, n31=2, n32=1.

I'm trying to understand how the generating sets corresponding to Intercept, A, B and A*B for Type I, II, III and V Estimable Functions are formed in SAS. According to SAS USER GUIDE

a formalized representation of Type I generating sets for *B*1, *B*2, and *B*3, (regression model *Y* = *X*1 ×*B*1+*X*2 ×*B*2+*X*3 ×*B*3) respectively, is

where

and

In the GLM procedure, the Type I estimable functions displayed symbolically when the E1 option is requested are

Question 1: Are X1 , X2, X3, X4 etc the columns of the Design Matrix associated with Intercept, A, B, A*B

Question 2: How M3 (for G4 --> A*B) will be computed?

Question 3: When I tried to compute Type I estimable functions for Intercept, A, B, A*B using syntax commands in SAS I didn't manage to replicate the results. Am I wrong in syntax programming or the above definition of the generating sets is applicable only for regression models not containing factors such as * **Y* = *X*1 ×*B*1+*X*2 ×*B*2+*X*3 ×*B*3? How the code for Type I Estimable functions will look like?

Cheers