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Statistica Sinica 14(2004), 989-1020





MEANINGFUL STATISTICAL MODEL FORMULATIONS

FOR REPEATED MEASURES


Geert Molenberghs and Geert Verbeke


Limburgs Universitair Centrum and Catholic University of Leuven


Abstract: When choosing a parametric statistical model two important considerations are mathematical soundness and substantive relevance. In this paper, we illustrate and exemplify that a number of issues arise from these considerations, even in relatively simple settings, such as ordinal regression, linear mixed models, models for cross-classified data and generalized linear mixed models. Many of our points are illustrated with data.



Key words and phrases: Binary data, conditional model, generalized linear mixed model, likelihood ratio test, linear mixed model, logistic regression, marginal model, ordinal data, random effects, score test, variance components.



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