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Goodness-of-fit Tests for Mixed Models
Authors:Christian Ritz
Institution:The Royal Veterinary and Agricultural University
Abstract:Abstract.  Mixed linear models have become a very useful tool for modelling experiments with dependent observations within subjects, but to establish their appropriateness several assumptions have to be checked. In this paper, we focus on the normality assumptions, using goodness-of-fit tests that make allowance for possible design imbalance. These tests rely on asymptotic results, which are established via empirical process theory. The power of the tests is explored empirically, and examples illustrate some aspects of the usage of the tests.
Keywords:empirical processes  estimated best linear unbiased predictors  goodness-of-fit statistics  mixed linear models  weak convergence
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