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A Response-Driven Adaptive Design Based on the Klein Urn

Author

Listed:
  • Arkaitz Galbete

    (Universidad Pública de Navarra)

  • José A. Moler

    (Universidad Pública de Navarra)

  • Fernando Plo

    (Universidad de Zaragoza)

Abstract

The Klein design is a response-driven random rule to allocate experimental subjects between two treatments. It aims to allocate more subjects to the treatment that is performing better, and therefore it is useful when ethical issues are of prime interest. It behaves asymptotically as the drop-the-loser rule, which is known to have a high degree of compromise between ethics and inferential properties. Besides, the Klein design has a powerful stochastic structure, which permits to obtain exact values, for each sample size n, for its main operating characteristics, such as variability of allocations, expected failure rate and power, selection bias or accidental bias. These properties of the Klein design are thoroughly studied and we obtain exact and asymptotic results.

Suggested Citation

  • Arkaitz Galbete & José A. Moler & Fernando Plo, 2014. "A Response-Driven Adaptive Design Based on the Klein Urn," Methodology and Computing in Applied Probability, Springer, vol. 16(3), pages 731-746, September.
    • Handle: RePEc:spr:metcap:v:16:y:2014:i:3:d:10.1007_s11009-013-9344-9
    DOI: 10.1007/s11009-013-9344-9
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    References listed on IDEAS

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    1. Hu, Feifang & Rosenberger, William F., 2003. "Optimality, Variability, Power: Evaluating Response-Adaptive Randomization Procedures for Treatment Comparisons," Journal of the American Statistical Association, American Statistical Association, vol. 98, pages 671-678, January.
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