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Adaptive Multiple Testing Procedure for Clinical Trials with Urn Allocation

Author

Listed:
  • Hanan Hammouri

    (Department of Mathematics and Statistics, Faculty of Science and Art, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan)

  • Mohammed Ali

    (Department of Mathematics and Statistics, Faculty of Science and Art, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan)

  • Marwan Alquran

    (Department of Mathematics and Statistics, Faculty of Science and Art, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan)

  • Areen Alquran

    (Department of Statistics, Yarmouk University, Irbid 21163, Jordan)

  • Ruwa Abdel Muhsen

    (Department of Mathematical Sciences, New Mexico State University, Las Cruces, NM 88001, USA)

  • Belal Alomari

    (Department of Mathematics and Statistics, Faculty of Science and Art, Jordan University of Science and Technology, P.O. Box 3030, Irbid 22110, Jordan)

Abstract

This work combines the Urn allocation and O’Brien and Fleming multiple testing procedure to compare two treatments in clinical trials in a novel way. It is shown that this approach overcomes the constraints that previously made it challenging to apply the original adaptive design to clinical trials. The method provides unique flexibility, enabling trials to be stopped early if one treatment shows it is superior without compromising the efficiency of the original multiple testing procedure in terms of type I error rate and power. Experimental data and simulated case examples are used to illustrate the efficacy and robustness of this original approach and its potential for usage in a variety of clinical settings.

Suggested Citation

  • Hanan Hammouri & Mohammed Ali & Marwan Alquran & Areen Alquran & Ruwa Abdel Muhsen & Belal Alomari, 2023. "Adaptive Multiple Testing Procedure for Clinical Trials with Urn Allocation," Mathematics, MDPI, vol. 11(18), pages 1-20, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3965-:d:1242621
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    References listed on IDEAS

    as
    1. Walter Lehmacher & Gernot Wassmer, 1999. "Adaptive Sample Size Calculations in Group Sequential Trials," Biometrics, The International Biometric Society, vol. 55(4), pages 1286-1290, December.
    2. Madhu Mazumdar, 2004. "Group Sequential Design for Comparative Diagnostic Accuracy Studies: Implications and Guidelines for Practitioners," Medical Decision Making, , vol. 24(5), pages 525-533, October.
    3. Hanan Hammouri & Marwan Alquran & Ruwa Abdel Muhsen & Jaser Altahat, 2022. "Optimal Weighted Multiple-Testing Procedure for Clinical Trials," Mathematics, MDPI, vol. 10(12), pages 1-19, June.
    4. Lu Chi & H. M. James Hung & Sue-Jane Wang, 1999. "Modification of Sample Size in Group Sequential Clinical Trials," Biometrics, The International Biometric Society, vol. 55(3), pages 853-857, September.
    5. Xikui Wang & Daryl Pullman, 2001. "Play-the-winner rule and adaptive designs of clinical trials," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 27, pages 1-8, January.
    Full references (including those not matched with items on IDEAS)

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