Collinearity will more likely occur between CLASS variables when some class combinations are empty (i.e. if all males are right-handed in your data there is no way to estimate the left-handed male effect). If you can't find where the problem is, you can get collinearity diagnosis with proc reg after expanding your design matrix (create dummy variables for class effects) with proc glmmod.
Not sure, but you could try SELECTION option:
L1=
L1CHOICE=
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ANOVA, or Analysis Of Variance, is used to compare the averages or means of two or more populations to better understand how they differ. Watch this tutorial for more.
Find more tutorials on the SAS Users YouTube channel.