Model robust, linear-optimal designs

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Abstract

Motivated by a pioblem concerning the estimation of uranium content in calibration standards, a new design criterion is developed that generalizes linear optimality to a situation in which, a priori, the exact form of the regression model need not be known. An equivalence theorem is given, some properties of the new designs are delineated, and iterative methods for design construction are presented. Finally, by using methods developed within, optimal designs are computed in a number of situations, including that of the motivating example.

Original languageEnglish (US)
Pages (from-to)49-54
Number of pages6
JournalTechnometrics
Volume24
Issue number1
DOIs
StatePublished - Feb 1982

Keywords

  • D optimality
  • Integrated variance
  • Iterative methods
  • Optimal design
  • Regression

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