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An Introduction to the Optimum Design of Experiments

In: A Celebration of Statistics

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  • Anthony C. Atkinson

Abstract

Optimum experimental design is introduced as arising from technological experiments, rather than from the “classical” requirements of agricultural trials. A variety of optimality criteria are explained heuristically in terms of ellipsoidal confidence regions for the parameters of a linear model. Relationships between the criteria are established, as are the requirements of response surface designs. The paper ends with sketches of applications of the theory to designs for agricultural variety trials and clinical trials, and to response surface designs. Although the paper is primarily intended to provide an introduction to the paper by Nalimov, Golikova, and Granovsky, the material is also relevant to parts of the paper by Fienberg, Singer, and Tanur.

Suggested Citation

  • Anthony C. Atkinson, 1985. "An Introduction to the Optimum Design of Experiments," Springer Books, in: Anthony C. Atkinson & Stephen E. Fienberg (ed.), A Celebration of Statistics, chapter 0, pages 465-473, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8560-8_20
    DOI: 10.1007/978-1-4613-8560-8_20
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