Designing for a response transformation parameter

Anthony C. Atkinson, R. Dennis Cook

Research output: Contribution to journalArticlepeer-review

13 Scopus citations


We investigate D-optimum designs for experiments in which a linear model holds after an unknown power transformation of the univariate response variable. This is a departure from standard D-optimal design in which an appropriate scale for the response is assumed known before data collection. The design problem that we formulate is intrinsically non-linear, requiring characterization of likely parameter values. Several applications are presented to illustrate the importance of recognizing the role of response transformations at the design stage.

Original languageEnglish (US)
Pages (from-to)111-124
Number of pages14
JournalJournal of the Royal Statistical Society. Series B: Statistical Methodology
Issue number1
StatePublished - 1997


  • Box-cox power transformations
  • D-optimum designs
  • D-optimum designs
  • Heteroscedasticity
  • Linear models


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