In PROC GLIMMIX, we do not understand the difference between specifying RANDOM INT and RANDOM _RESIDUAL. How does one go about determining which is more appropriate?
Former models G-side random components, and latter models R-side. Read about conditional (G) and marginal (R) distributions to understand how these might tie to the inferences you are attempting to draw (not knowing your data or questions).
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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.