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Efficient Circular Cross-over Designs for Models with Interaction

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mODa 11 - Advances in Model-Oriented Design and Analysis

Part of the book series: Contributions to Statistics ((CONTRIB.STAT.))

Abstract

Cross-over designs are widely used in many areas such as clinical trials or agricultural field experiments. In addition to the effect of the treatment applied to a given period, a residual effect of the previous treatment is often observed. In that case, the effect observed depends on both treatments. When the aim of the experiment is to select a single treatment, it is natural to consider the effect of a treatment preceded by itself, also called the total effect. We consider universally optimal or efficient circular cross-over designs for total effects under a model with interaction between treatment and carry-over effects. The optimal designs are obtained from the theory of approximate designs developed by Kushner (Ann Stat 25:2328–2344, 1997).

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Université Blaise Pascal, UMR 6620 – CNRS, Clermont-Ferrand, France

    Pierre Druilhet

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  1. Pierre Druilhet
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Correspondence to Pierre Druilhet .

Editor information

Editors and Affiliations

  1. Department of Statistics, Technische Universität Dortmund, Dortmund, Germany

    Joachim Kunert

  2. Department of Statistics, Technische Universität Dortmund, Dortmund, Germany

    Christine H. Müller

  3. Department of Statistics, London School of Economics, London, United Kingdom

    Anthony C. Atkinson

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Druilhet, P. (2016). Efficient Circular Cross-over Designs for Models with Interaction. In: Kunert, J., Müller, C., Atkinson, A. (eds) mODa 11 - Advances in Model-Oriented Design and Analysis. Contributions to Statistics. Springer, Cham. https://doi.org/10.1007/978-3-319-31266-8_11

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