Variance components estimation in generalized orthogonal models

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Abstract

The model y =∑wj=1Xjβ j+e is generalized orthogonal if the orthogonal projection matrices on the range spaces of matrices Xj , j =1, ..., w, commute. Unbiased estimators are obtained for the variance components of such models with cross-nesting.

Original languageEnglish
Pages (from-to)99-115
Number of pages17
JournalDiscussiones Mathematicae. Probability and Statistics
Volume27
Issue number1-2
Publication statusPublished - 1 Jan 2007

Keywords

  • generalized orthogonal models
  • variance components
  • generalized cross nesting designs

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