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Comparison of Minimal Circular Balanced RMDs Constructed Through Rule I and II of Cyclic Shifts Method

Author

Listed:
  • Muhammad Ejaz Malik

    (Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Punjab, Pakistan)

  • Muhammad Ameeq

    (Department of Mathematics & Statistics GHSS Laboratory Attached with (PECTAA), Muzaffargarh 34200, Punjab, Pakistan)

  • Muhammad Riaz

    (Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Punjab, Pakistan)

  • Rashid Ahmed

    (Department of Statistics, The Islamia University of Bahawalpur, Bahawalpur 63100, Punjab, Pakistan)

Abstract

The repeated measurement design (RMD) is a cost-effective research design commonly used in various fields. RMDs have several advantages; however, the carryover effect is a fundamental issue. Carryover effects typically serve as the primary source of bias in the evaluation of treatment efficacy. To reduce this bias, minimal circular balanced RMDs (MCBRMDs) are utilized. Rule I of the cyclic shift method produces MCBRMDs for only the odd v (number of treatments to be compared). Rule II produces these designs for both v odd and v even. This article contributes to the literature by providing a systematic comparison of two cyclic shift rules for constructing MCBRMDs for odd v . The study provides useful guidance to experimenters in choosing effective designs under practical experimental restrictions by comparing these designs using efficiency of carryover effects and separability.

Suggested Citation

  • Muhammad Ejaz Malik & Muhammad Ameeq & Muhammad Riaz & Rashid Ahmed, 2026. "Comparison of Minimal Circular Balanced RMDs Constructed Through Rule I and II of Cyclic Shifts Method," Stats, MDPI, vol. 9(2), pages 1-13, March.
    • Handle: RePEc:gam:jstats:v:9:y:2026:i:2:p:29-:d:1892602
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