Model-robust designs for split-plot experiments

Byran J. Smucker, Enrique Del Castillo, James L. Rosenberger

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

Split-plot experiments are appropriate when some factors are more difficult and/or expensive to change than others. They require two levels of randomization resulting in a non-independent error structure. The design of such experiments has garnered much recent attention, including work on exact D-optimal split-plot designs. However, many of these procedures rely on the a priori assumption that the form of the regression function is known. We relax this assumption by allowing a set of model forms to be specified, and use a scaled product criterion along with an exchange algorithm to produce designs that account for all models in the set. We include also a generalization which allows weights to be assigned to each model, though they appear to have only a slight effect. We present two examples from the literature, and compare the scaled product designs with designs optimal for a single model. We also discuss a maximin alternative.

Original languageEnglish (US)
Pages (from-to)4111-4121
Number of pages11
JournalComputational Statistics and Data Analysis
Volume56
Issue number12
DOIs
StatePublished - Dec 1 2012

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All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Computational Mathematics
  • Computational Theory and Mathematics
  • Applied Mathematics

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