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On the optimum number of levels in the one-way model with random effects

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Abstract

The optimal number of levels is studied for the one-way random model with normally distributed effects. The optimum criteria used are based on the variances of the traditional analysis of variance estimators of the variance components. Exact solutions are compared to earlier results based on lower bounds of the sampling variances. Comparisons are also made to the large-sample variances of the estimates based on restricted maximum likelihood.

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Authors and Affiliations

  1. Department of Biometry and Informatics, Swedish University of Agricultural Sciences, no street, P. O. Box 7013, SE-750 07, Uppsala, Sweden

    Lennart Norell

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  1. Lennart Norell
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Correspondence to Lennart Norell.

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Received February 2002

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Norell, L. On the optimum number of levels in the one-way model with random effects. Metrika 58, 213–220 (2003). https://doi.org/10.1007/s001840200238

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  • DOI: https://doi.org/10.1007/s001840200238

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