Unbalancedness and Efficiency in Estimating Components of Variance: MINQUE and ANOVA Procedure

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1982 English Publisher:WileyJournal:Biometrical Journal, volume 24, pages 649-661 (issn: 0323-3847, eissn: 1521-4036,

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Authors: Ahrens, Heinz; Sanchez, J.;

doi: 10.1002/bimj.4710240704

Unbalancedness and Efficiency in Estimating Components of Variance: MINQUE and ANOVA Procedure

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Abstract

AbstractWe consider the one‐way classification random model. Using a measure of unbalancedness some MINQ‐Estimation procedures and ANOVA‐procedure have been investigated with respect to their sensibility to unbalancedness.Further if we define the efficiency of a design N as the ratio of the MSE (.)'s of the balanced and the unbalanced case we obtain for three MINQE‐procedures upper and lower bounds of the minimum efficiency.

Keywords

minimum efficiency, measure of unbalancedness, MINQ-estimators, Analysis of variance and covariance (ANOVA), one-way classification random model, efficiency of unbalanced design, classes of unbalanced designs

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