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Universally optimal balanced changeover designs with first residuals

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  • V. Sharma

Abstract

Considering the presence of first order residual effects of treatments, a family of variance balanced changeover designs has been presented and universal optimality of the designs is established. The designs use only v experimental units and (v − 1)/2 periods for v=4t + 3 prime or prime power number of treatments; t being a positive integer. A special feature of the proposed designs is that ‘in the order of presentation of treatments to experimental units over periods, each treatment is once immediately preceded by only half of the other treatments and is immediately followed once by the remaining half of the treatments’. This characteristic results in reducing the size of the variance balanced designs considerably. Copyright Springer-Verlag 2013

Suggested Citation

  • 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.
    • Handle: RePEc:spr:metrik:v:76:y:2013:i:3:p:339-346
    DOI: 10.1007/s00184-012-0390-z
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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. P. Druilhet & W. Tinsson, 2009. "Optimal repeated measurement designs for a model with partial interactions," Biometrika, Biometrika Trust, vol. 96(3), pages 677-690.
    3. Afsarinejad, Kasra, 1990. "Circular balanced uniform repeated measurements designs, II," Statistics & Probability Letters, Elsevier, vol. 9(2), pages 141-143, February.
    4. R. A. Bailey & J. Kunert, 2006. "On optimal crossover designs when carryover effects are proportional to direct effects," Biometrika, Biometrika Trust, vol. 93(3), pages 613-625, September.
    5. Hedayat A.S. & Yang M., 2004. "Universal Optimality for Selected Crossover Designs," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 461-466, January.
    6. V.K. Sharma & Cini Varghese & Seema Jaggi, 2002. "On optimality of change-over designs balanced for first and second order residual effects," Metron - International Journal of Statistics, Dipartimento di Statistica, Probabilità e Statistiche Applicate - University of Rome, vol. 0(3-4), pages 154-162.
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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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