An Analysis of Transformations Revisited, Rebutted.
Technical summary rept.,
WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER
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In a paper written in 1964, Box and Cox described a method for estimating transformations and showed how in suitable cases valuable increases in simplicity and efficiency were possible. Since that time, this technique has enjoyed wide practical use and considerable success. However, a recent theoretical paper by Bickel and Doksum 1981 seems to suggest that serious dangers are associated with the employment of this method, and speaks of instability and cost of estimation of the transformation. These difficulties seem to be associated with 1 examples which common sense would rule out, namely situations where the effect of transformation on the data is almost linear, so that it is a matter of indifference which transformation is used 2 the idea that it makes sense to state conclusions in terms of a number measured on an arbitrary scale 3 failure to take proper account of the Jacobian of the transformation.
- Numerical Mathematics