Global Optimization Problems in Optimal Design of Experiments in Regression Models

E.P.J. Boer; E.M.T. Hendrix

doi:10.1023/A:1026552318150

Global Optimization Problems in Optimal Design of Experiments in Regression Models

E.P.J. Boer, E.M.T. Hendrix

Research output: Contribution to journal › Article › Academic › peer-review

12 Citations (Scopus)

Abstract

In this paper we show that optimal design of experiments, a specific topic in statistics, constitutes a challenging application field for global optimization. This paper shows how various structures in optimal design of experiments problems determine the structure of corresponding challenging global optimization problems. Three different kinds of experimental designs are discussed: discrete designs, exact designs and replicationfree designs. Finding optimal designs for these three concepts involves different optimization problems.

Original language	English
Pages (from-to)	385-398
Journal	Journal of Global Optimization
Volume	18
DOIs	https://doi.org/10.1023/A:1026552318150
Publication status	Published - 2000

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abstract = "In this paper we show that optimal design of experiments, a specific topic in statistics, constitutes a challenging application field for global optimization. This paper shows how various structures in optimal design of experiments problems determine the structure of corresponding challenging global optimization problems. Three different kinds of experimental designs are discussed: discrete designs, exact designs and replicationfree designs. Finding optimal designs for these three concepts involves different optimization problems.",

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