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Optimal crossover designs in a model with self and mixed carryover effects with correlated errors

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  • Adrian Wilk
  • Joachim Kunert

Abstract

We determine optimal crossover designs for the estimation of direct treatment effects in a model with mixed and self carryover effects. The model also assumes that the errors within each experimental unit are correlated following a stationary first-order autoregressive process. The paper considers situations where the number of periods for each experimental unit is at least four and the number of treatments is greater or equal to the number of periods. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Adrian Wilk & Joachim Kunert, 2015. "Optimal crossover designs in a model with self and mixed carryover effects with correlated errors," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 78(2), pages 161-174, February.
    • Handle: RePEc:spr:metrik:v:78:y:2015:i:2:p:161-174
    DOI: 10.1007/s00184-014-0494-8
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    References listed on IDEAS

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    1. Kunert J. & Stufken J., 2002. "Optimal Crossover Designs in a Model With Self and Mixed Carryover Effects," Journal of the American Statistical Association, American Statistical Association, vol. 97, pages 898-906, September.
    2. Kunert, J. & Stufken, J., 2008. "Optimal Crossover Designs for Two Treatments in the Presence of Mixed and Self-Carryover Effects," Journal of the American Statistical Association, American Statistical Association, vol. 103(484), pages 1641-1647.
    3. Kunert, Joachim & Martin, R. J., 2000. "On the determination of optimal designs for an interference model," Technical Reports 2000,17, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
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    Cited by:

    1. Katarzyna Filipiak & Augustyn Markiewicz, 2017. "Universally optimal designs under mixed interference models with and without block effects," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 80(6), pages 789-804, November.

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