## Abstract The analysisβofβvariance tests for hypotheses on random effects in regular linear models are considered. Conditions are given for these tests to be uniformly most powerful unbiased or uniformly most powerful invariant unbiased. An example shows that the difference between these conditio
The detection of residual serial correlation in linear mixed models
β Scribed by Geert Verbeke; Emmanuel Lesaffre; Larry J. Brant
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 146 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0277-6715
No coin nor oath required. For personal study only.
β¦ Synopsis
described how the empirical semi-variogram of ordinary least squares residuals can be used to suggest an appropriate serial correlation structure in stationary linear mixed models. In this paper, this approach is extended to non-stationary models which include random effects other than intercepts, and will be applied to prostate cancer data, taken from the Baltimore Longitudinal Study of Aging. A simulation study demonstrates the effectiveness of this extended variogram for improving the covariance structure of the linear mixed model used to describe the prostate data.
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