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Graphical evaluation of the adequacy of the method of unweighted means

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  • Andre Khuri

Abstract

A graphical technique is introduced to assess the adequacy of the method of unweighted means in providing approximate F -tests for an unbalanced random model. These tests are similar to those obtained under a balanced ANOVA. The proposed technique is simple and can easily be used to determine the effects of imbalance and values of the variance components on the adequacy of the approximation. The one-way and two-way random models are used to illustrate the proposed methodology. Extensions to higher-order models are also mentioned.

Suggested Citation

  • Andre Khuri, 2002. "Graphical evaluation of the adequacy of the method of unweighted means," Journal of Applied Statistics, Taylor & Francis Journals, vol. 29(8), pages 1107-1119.
    • Handle: RePEc:taf:japsta:v:29:y:2002:i:8:p:1107-1119
    DOI: 10.1080/0266476022000011193
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    1. Robert B. Davies, 1980. "The Distribution of a Linear Combination of χ2 Random Variables," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 29(3), pages 323-333, November.
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