Construction of A-Optimum Cross-Over Designs

  • Alexander N. Donev
  • Byron Jones
Conference paper
Part of the Contributions to Statistics book series (CONTRIB.STAT.)

Abstract

We describe an algorithmic approach to the construction of A-optimum repeated measurements designs. The algorithm is very flexible and can search for designs in non-standard situations. Some illustrative examples are given.

Keywords

Peri 

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References

  1. Atkinson A.C. and Donev (1989). The construction of exact D-optimum experimental designs with application to blocking response surface designs. Biometrika, 76, 515–26.MathSciNetMATHGoogle Scholar
  2. Donev, A.N. and Jones, B. (1995). An algorithmic approach to constructing optimum cross-over designs. Submitted for publication.Google Scholar
  3. Fedorov, V.V. (1972). Theory of Optimal Experiments, translated and edited by W.J. Studden and E.M. Klimko. New York: Academic Press.Google Scholar
  4. Jones, B. and Donev (1996). Modelling and design of cross-over trials. Submitted for publication.Google Scholar
  5. Jones, B. and Kenward, M.G. (1989). The Design and Analysis of Cross-Over Trials. London: Chapman and Hall.Google Scholar
  6. Williams, E.J. (1949). Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research, 2, 149–168.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Alexander N. Donev
    • 1
    • 2
  • Byron Jones
    • 1
    • 2
  1. 1.Department of MathematicsThe UniversitySouthamptonUK
  2. 2.Department of Medical Statistics, School of Computing SciencesDe Monfort UniversityLeicesterUK

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