Goodness-of-fit tests in mixed models

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Monitoring Correlation Within Linear Profiles Using Mixed Models (2008, methodology): “The eblups will be asymptotically normally distributed as long as the random effects and errors follow a multivariate normal distribution, although the distribution of the eblups is not necessarily the same as that of the blups (Verbeke and Lesaffre (1996) and Ritz (2004)).”
How collinearity affects mixture regression results (2015, background): “, information and classification criteria) to compare different segmentation solutions in terms of their model fit (based on likelihood or entropy measures; Claeskens and Hart 2009; Hawkins et al. 2001).”