The Effect of Categorization on a Simple Analysis of Variance Model |
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Authors: | J. C. W. Rayner K. G. Dodds D. J. Best |
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Abstract: | Many statistical procedures assume a continuous model in spite of the fact that observations are necessarily discrete. Here we consider a simple ANOVA model—one factor with fixed effects—and assess the effect of categorisation by simulating sizes and calculating asymptotic relative efficiencies. Even for severe categorisation the effects are small. |
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Keywords: | Analysis of variance Categorisation Asymptotic relative efficiency |
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