Improved testing inference in mixed linear models

Details Improved testing inference in mixed linear models Improved testing inference in mixed linear models

2008-06-23

arxiv.org/abs/0806.3769v2

Computational Statistics and Data Analysis, 53, (2009), 2573-2582

Statistics

Methodology

17 pages, 1 figure

Scientific paper

10.1016/j.csda.2008.12.007

Mixed linear models are commonly used in repeated measures studies. They account for the dependence amongst observations obtained from the same experimental unit. Oftentimes, the number of observations is small, and it is thus important to use inference strategies that incorporate small sample corrections. In this paper, we develop modified versions of the likelihood ratio test for fixed effects inference in mixed linear models. In particular, we derive a Bartlett correction to such a test and also to a test obtained from a modified profile likelihood function. Our results generalize those in Zucker et al. (Journal of the Royal Statistical Society B, 2000, 62, 827-838) by allowing the parameter of interest to be vector-valued. Additionally, our Bartlett corrections allow for random effects nonlinear covariance matrix structure. We report numerical evidence which shows that the proposed tests display superior finite sample behavior relative to the standard likelihood ratio test. An application is also presented and discussed.

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