Numerical Study of Small Sample Variances of Estimators of Variance Components in the Two-Way Factorial Model |
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Authors: | Ronald Bremer |
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Affiliation: | Information Systems and Quanitative , Texas Tech University , 79409, Lubbock, Texas |
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Abstract: | Many estimation procedures have been proposed for estimating variance components in unbalanced factorial models. A large proportion of these are based on the solution to a system of linear equations obtained from a set of quadratic forms and their expected value. This paper will present a numerical study of the small sample variance of eight variance component estimators of this type. The variances will be compared to the Bhattacharyya lower bound for unbiased estimators. |
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Keywords: | variance components quadratic forms ANOVA estimates MINQUE estimates average estimates Bhattacharyya lower bound |
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