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Improvement of ANOVA estimators of variance components in block designs with random treatments

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  • Molinska, Anna
  • Molinski, Krzysztof

Abstract

This paper concerns the problem of estimating variance components in the experiments with block designs with random treatments. In this paper we present conditions under which the nonnegative invariant quadratic estimator, presented as a multiple of a treatments sum of squares from the analysis of variance, dominates the ANOVA estimator of treatment variance in the sense that it has uniformly smaller mean squared error.

Suggested Citation

  • Molinska, Anna & Molinski, Krzysztof, 1995. "Improvement of ANOVA estimators of variance components in block designs with random treatments," Statistics & Probability Letters, Elsevier, vol. 22(4), pages 281-285, March.
    • Handle: RePEc:eee:stapro:v:22:y:1995:i:4:p:281-285
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    References listed on IDEAS

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    1. Mathew, Thomas & Sinha, Bimal Kumar & Sutradhar, Brajendra C., 1992. "Nonnegative estimation of variance components in unbalanced mixed models with two variance components," Journal of Multivariate Analysis, Elsevier, vol. 42(1), pages 77-101, July.
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