On the design of experiments in the presence of fixed covariates

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Abstract

We consider the problem of constructing D-optimal designs with covariates that are fixed and specified in advance. Specifically, we present methods for computing (truncated) optimal designs when nuisance parameters exist and interest focuses on a subset of the parameters in a linear model. Relationships between truncated optimal designs and optimal designs when nuisance parameters do not exist are characterized.

Original languageEnglish (US)
Pages (from-to)203-212
Number of pages10
JournalJournal of Statistical Planning and Inference
Volume22
Issue number2
DOIs
StatePublished - Jun 1989

Keywords

  • Additive models
  • D-optimality
  • constrained optimal design
  • marginally restricted designs
  • nuisance parameters
  • truncated optimal design

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