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The Effect of Categorization on a Simple Analysis of Variance Model
Author(s) -
Rayner J. C. W.,
Dodds K. G.,
Best D. J.
Publication year - 1986
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.4710280205
Subject(s) - simple (philosophy) , categorization , variance (accounting) , statistics , mathematics , econometrics , analysis of variance , statistical model , computer science , artificial intelligence , economics , philosophy , accounting , epistemology
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.