Designing for a Response Transformation Parameter

Anthony C. Atkinson and R. Dennis Cook

Journal of the Royal Statistical Society Series B, 1997, vol. 59, issue 1, 111-124

Abstract: 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.

Date: 1997
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