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Optimal repeated measurement designs for a model with partial interactions

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  • P. Druilhet
  • W. Tinsson

Abstract

We consider crossover designs for a model with partial interactions. In this model, the carryover effect depends on whether the treatment is preceded by itself or not. When the aim of the experiment is to study the total effects corresponding to a single treatment, we obtain approximate optimal symmetric designs, within the competing class of circular designs, by generalizing the method introduced by Kushner (1997) and Kunert & Martin (2000). This generalization places the method proposed by Bailey & Druilhet (2004) into Kushner's context. The optimal designs obtained are not binary, as in Kunert & Martin (2000). We also propose efficient designs generated by only one sequence. Copyright 2009, Oxford University Press.

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  • P. Druilhet & W. Tinsson, 2009. "Optimal repeated measurement designs for a model with partial interactions," Biometrika, Biometrika Trust, vol. 96(3), pages 677-690.
    • Handle: RePEc:oup:biomet:v:96:y:2009:i:3:p:677-690
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    File URL: http://hdl.handle.net/10.1093/biomet/asp034
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    Cited by:

    1. V. Sharma, 2013. "Universally optimal balanced changeover designs with first residuals," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 76(3), pages 339-346, April.

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