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MODA4 — Advances in Model-Oriented Data Analysis pp 165–171Cite as

Construction of A-Optimum Cross-Over Designs

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Part of the book series: Contributions to Statistics ((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.

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References

  • 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.

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  • Donev, A.N. and Jones, B. (1995). An algorithmic approach to constructing optimum cross-over designs. Submitted for publication.

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  • Fedorov, V.V. (1972). Theory of Optimal Experiments, translated and edited by W.J. Studden and E.M. Klimko. New York: Academic Press.

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  • Jones, B. and Donev (1996). Modelling and design of cross-over trials. Submitted for publication.

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  • Jones, B. and Kenward, M.G. (1989). The Design and Analysis of Cross-Over Trials. London: Chapman and Hall.

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  • Williams, E.J. (1949). Experimental designs balanced for the estimation of residual effects of treatments. Australian Journal of Scientific Research, 2, 149–168.

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Author information

Authors and Affiliations

  1. Department of Mathematics, The University, Southampton, SO17 5NH, UK

    Alexander N. Donev & Byron Jones

  2. Department of Medical Statistics, School of Computing Sciences, De Monfort University, The Gateway, Leicester, LE1 9BH, UK

    Alexander N. Donev & Byron Jones

Authors
  1. Alexander N. Donev
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  2. Byron Jones
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Editor information

Editors and Affiliations

  1. Department of Statistics, Athens University of Economics and Business, 76 Patission Street, 104-34, GR-Athens, Greece

    Christos P. Kitsos

  2. Department of Statistics, University of Economics and Business Administration, Augasse 2-6, A-1090, Vienna, Austria

    Werner G. Müller

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© 1995 Springer-Verlag Berlin Heidelberg

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Donev, A.N., Jones, B. (1995). Construction of A-Optimum Cross-Over Designs. In: Kitsos, C.P., Müller, W.G. (eds) MODA4 — Advances in Model-Oriented Data Analysis. Contributions to Statistics. Physica, Heidelberg. https://doi.org/10.1007/978-3-662-12516-8_18

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  • DOI: https://doi.org/10.1007/978-3-662-12516-8_18

  • Publisher Name: Physica, Heidelberg

  • Print ISBN: 978-3-7908-0864-3

  • Online ISBN: 978-3-662-12516-8

  • eBook Packages: Springer Book Archive

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