Optimal designs for quadratic regression with random block effects: The case of block size two

Shih Hao Huang, Ching Shui Cheng

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

Optimal approximate designs for quadratic regression with random block effects in the case of block size two are considered. We obtain, with respect to the Schur ordering, an essentially complete class consisting of designs with a simple structure. The locally D- and A-optimal designs given in Cheng (1995a) and Atkins and Cheng (1999) belong to this class. We explicitly identify locally E-optimal designs and show that for each p, −∞≤p≤1, there is a unique ϕp-design in this class. Bayesian ϕp-optimal designs are also considered.

Original languageEnglish
Pages (from-to)67-77
Number of pages11
JournalJournal of Statistical Planning and Inference
Volume175
DOIs
StatePublished - 1 Aug 2016

Keywords

  • Bayesian optimality
  • E-optimality
  • Essentially complete class
  • Robust design
  • ϕ-optimality

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