About the Multimodality of the Likelihood Function when Estimating the Variance Components in a One-Way Classification by Means of the Ml or REML Method

V. Guiard

doi:10.1007/978-94-011-1004-4_16

About the Multimodality of the Likelihood Function when Estimating the Variance Components in a One-Way Classification by Means of the Ml or REML Method

V. Guiard

https://doi.org/10.1007/978-94-011-1004-4_16

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Publication Date: Jan 1, 1994

Citations: 3

Affiliation: Zimmer Biomet (Germany), Research Institute for Farm Animal Biology (FBN)

#Restricted Maximum Likelihood #Restricted Maximum Likelihood Method + Show 8 more

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Abstract

Maximum Likelihood (ML) and Restricted Maximum Likelihood (REML) estimators of variance components are widely used in animal breeding. Hoeschele (1989) has stated that the likelihood is always unimodal for REML, but this statement is not true in all cases. The surface of the profile likelihood functions for ML and REML are discussed and compared for a general two variance components model and for the one-way ANOVA model. For some cases upper bounds for the probability of multimodality are given.

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