Constrained optimal designs for regression models

Carl M.S. Lee

Research output: Contribution to journalArticlepeer-review

22 Scopus citations

Abstract

An attempt of combining several optimality criteria simultaneously by using the techniques of nonlinear programming is demonstrated. Four constrained D- and G-optimality criteria are introduced, namely, D-restricted, Ds-restricted A-restricted and E-restricted D- and G-optimality. The emphasis is particularly on the polynomial regression. Examples for quadratic polynomial regression are investigated to illustrate the applicability of these constrained optimality criteria.

Original languageEnglish
Pages (from-to)765-783
Number of pages19
JournalCommunications in Statistics - Theory and Methods
Volume16
Issue number3
DOIs
StatePublished - Jan 1987
Externally publishedYes

Keywords

  • Constrained optimality
  • convex analysis
  • efficiency
  • optimal design
  • quadratic regression

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