DESIGNING FOR A RESPONSE TRANSFORMATION PARAMETER

Authors
ATKINSON AC COOK RD
Citation
Ac. Atkinson et Rd. Cook, DESIGNING FOR A RESPONSE TRANSFORMATION PARAMETER, Journal of the Royal Statistical Society. Series B: Methodological, 59(1), 1997, pp. 111-124
Citations number
12
Categorie Soggetti
Statistic & Probability","Statistic & Probability
Journal title
Journal of the Royal Statistical Society. Series B: Methodological
ISSN journal
00359246 → ACNP
Volume
59
Issue
1
Year of publication
1997
Pages
111 - 124
Database
ISI
SICI code
1369-7412(1997)59:1<111:DFARTP>2.0.ZU;2-L
Abstract
We investigate D-optimum designs for experiments in which a linear mod el holds after an unknown power transformation of the univariate respo nse variable. This is a departure from standard D-optimal design in wh ich 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 recognizin g the role of response transformations at the design stage.