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An approach to defining the pattern of interaction effects in a two-way layout

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Summary

A method is given to classify rows and columns into subgroups so that additivity holds within each of the subtables made of the grouped rows or the grouped columns. The least squares estimators of the cell means are easily obtained for the resulting linear model together with their variances. An estimator of the error varianceσ 2 is given when there is only one observation per cell. A treatment of an ordered table is also given.

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Authors and Affiliations

  1. Tokyo University, Tokyo, Japan

    C. Hirotsu

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  1. C. Hirotsu
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Hirotsu, C. An approach to defining the pattern of interaction effects in a two-way layout. Ann Inst Stat Math 35, 77–90 (1983). https://doi.org/10.1007/BF02480965

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  • DOI: https://doi.org/10.1007/BF02480965

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