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Optimal and/or Efficient Cross-Over Designs Balanced for Carry-Over of Active Treatments

Author

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  • Jigneshkumar Gondaliya

    (Gujarat University)

  • Jyoti Divecha

    (Sardar Patel University)

Abstract

The experimenters have limited flexibility as far as the number of experimental units are concerned; this could be unsuitable in bioavailability/bioequivalence study. In cross-over design literature, most of the designs require an even number of subjects, few of them are available for 3, 9 or 15 subjects, but designs are not available for number of subjects like 5, 7, 11. A new class called active balanced cross-over designs is defined and constructed for carry-over models through a 5M active balanced computer search algorithm for addressing this gap in literature. The newly generated cross-over designs are more variance efficient under self and mixed carry-over model than the two treatments three periods cross-over designs. Many cross-over designs, which have been unavailable so far, are obtained for five carry-over models in this paper. A new optimal cross-over design in the class of balanced two treatments three periods cross-over designs is also generated. An exhaustive list of optimal and/or efficient cross-over designs have been provided for designs in 4 to 13 experimental units. In this list, 10 new included designs are optimal for one of the carry-over models and 7 new included designs are optimal and/or efficient when fitting to all four plausible carry-over models.

Suggested Citation

  • Jigneshkumar Gondaliya & Jyoti Divecha, 2022. "Optimal and/or Efficient Cross-Over Designs Balanced for Carry-Over of Active Treatments," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 14(1), pages 158-174, April.
    • Handle: RePEc:spr:stabio:v:14:y:2022:i:1:d:10.1007_s12561-021-09319-1
    DOI: 10.1007/s12561-021-09319-1
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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.
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