The analysis of transformed data

D. V. Hinkley, George Runger

Research output: Contribution to journalArticle

114 Citations (Scopus)

Abstract

Recently it was suggested (Bickel and Doksum 1981) that when data are used to select a transformation, the post-transformation analysis of those data may need to be modified considerably from standard form so as to allow for the selection. We argue that common sense and the work of Box and Cox (1964) point to a contrary conclusion. Our argument is based on considerations of parameter interpretation and subsequent Bayesian analysis, within the context of fitting normal-error linear models. Numerical examples are used to illustrate the main points.

Original languageEnglish (US)
Pages (from-to)302-309
Number of pages8
JournalJournal of the American Statistical Association
Volume79
Issue number386
DOIs
StatePublished - 1984
Externally publishedYes

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Scientific notation
Error Model
Bayesian Analysis
Linear Model
Numerical Examples
Interpretation
Context
Bayesian analysis
Common sense

Keywords

  • Bayesian inference
  • Box-Cox model
  • Confidence limits
  • Contrasts
  • Power transformation

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

Cite this

The analysis of transformed data. / Hinkley, D. V.; Runger, George.

In: Journal of the American Statistical Association, Vol. 79, No. 386, 1984, p. 302-309.

Research output: Contribution to journalArticle

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