2000Wiley series in probability and statisticsRequires access

Linear Mixed Models (LMMs)

Charles E. McCulloch, S. R. Searle

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Abstract

This chapter contains sections titled: A General Model Attributing Structure to Var(y) Estimating Fixed Effects for V Known Estimating Fixed Effects for V Unknown Predicting Random Effects for V Known Predicting Random Effects for V Unknown ANOVA Estimation of Variance Components Maximum Likelihood (ML) Estimation Restricted Maximum Likelihood (REML) ML or REML? Other Methods for Estimating Variances Appendix Exercises

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What this paper is about

This chapter contains sections titled: A General Model Attributing Structure to Var(y) Estimating Fixed Effects for V Known Estimating Fixed Effects for V Unknown Predicting Random Effects for V Known Predicting Random Effects for V Unknown ANOVA Estimation of Variance Components Maximum Likelihood (ML) Estimation Restricted Maximum Likelihood (REML) ML or REML? Other Methods for Estimating Variances Appendix Exercises

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Available abstract

This chapter contains sections titled: A General Model Attributing Structure to Var(y) Estimating Fixed Effects for V Known Estimating Fixed Effects for V Unknown Predicting Random Effects for V Known Predicting Random Effects for V Unknown ANOVA Estimation of Variance Components Maximum Likelihood (ML) Estimation Restricted Maximum Likelihood (REML) ML or REML? Other Methods for Estimating Variances Appendix Exercises

Key concepts: Restricted maximum likelihood, Random effects model, Mathematics, Variance components, Maximum likelihood, Statistics, Mixed model, Variance (accounting)

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