S2E29: Multilevel Models -- The Often Unnecessary Green Monster
Quantitude
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The Importance of Complexity in Modeling
Rotten Bush and Bright wrote about these diagnostics in the first edition of their book. They have a really cool example where you get empirical base estimates of level two random effects do residual plots for trends but when you bring in a cross-level interaction that's been omitted it actually accounts for the curvature. I can't even remember the last application I've seen published that anybody is even commented on doing diagnostics to examine meeting assumptions in the MLM.
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