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On the optimum number of levels in the one-way model with random effects
Authors:Lennart?Norell  author-information"  >  author-information__contact u-icon-before"  >  mailto:Lennart.Norell@bi.slu.se"   title="  Lennart.Norell@bi.slu.se"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author
Affiliation:(1) Department of Biometry and Informatics, Swedish University of Agricultural Sciences, no street, P. O. Box 7013, SE-750 07 Uppsala, Sweden
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.Received February 2002
Keywords:Optimal design  analysis of variance  estimation of variance components  restricted maximum likelihood  convex functions
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