Exploratory Methods for Choosing Power Transformations
- 1 March 1982
- journal article
- research article
- Published by JSTOR in Journal of the American Statistical Association
- Vol. 77 (377) , 103
- https://doi.org/10.2307/2287775
Abstract
Power transformations can often simplify the task of describing behavior in data that consist of positive measurements or counts. Tukey's diagnostic techniques based on two-dimensional plots are useful in searching for a suitable transformation in two types of data structures: multiple batches at different levels, and two-way tables. To these, we add plots for finding transformations in two other structures: a single batch, and y versus x. The basis for plots that indicate transformations for symmetrizing and for straightening is explored using second-order series approximations. For all four techniques, when the plot is roughly linear with slope 1 — p, the power of a transformation indicated by the plot is p. Each plot indicates whether any power transformation can be effective in achieving a desired objective.Keywords
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