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Therapeutic Equivalence Using a Rich Family of Prior Distributions

In: Lifetime Data: Models in Reliability and Survival Analysis

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  • Karan P. Singh

    (University of Alabama at Birmingham, Department of Biostatistics School of Public Health)

Abstract

Therapeutic Equivalence in some contexts occurs when functions of parameters such as differences or ratios lie within some specified confidence region. A specific class of parametric discrepancy measures is examined. One then applies the Bayesian neighborhood null hypothesis theory to derive posterior confidence regions on these measures. Data from a leukemia clinical trial is used to demonstrate conditions under which equivalent survival benefit of two treatments is achieved. All results are derived numerically with conditions under which the posterior distributions approximate standard F-ratios. The achieved goal is that of establishing therapeutic equivalence using a rich family of prior distributions.

Suggested Citation

  • Karan P. Singh, 1996. "Therapeutic Equivalence Using a Rich Family of Prior Distributions," Springer Books, in: Nicholas P. Jewell & Alan C. Kimber & Mei-Ling Ting Lee & G. A. Whitmore (ed.), Lifetime Data: Models in Reliability and Survival Analysis, pages 315-322, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4757-5654-8_41
    DOI: 10.1007/978-1-4757-5654-8_41
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