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Analysis of Factorial Experiments by Estimating Monotone Transformations of the Data
J. B. Kruskal
Journal of the Royal Statistical Society. Series B (Methodological)
Vol. 27, No. 2 (1965), pp. 251-263
Stable URL: http://www.jstor.org/stable/2984194
Page Count: 13
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Data may sometimes be described by a linear model with fewer terms if a transformation is applied. For example, in a factorial design the need for certain interaction terms may be eliminated by transformation. If attention is restricted to all monotone transformations, it is possible and perhaps useful to find the monotone transformation which minimizes the residual sum of squares after removing the effects explained by the model. Several sets of data from the statistical literature are analysed this way.
Journal of the Royal Statistical Society. Series B (Methodological) © 1965 Royal Statistical Society