Therapeutic Equivalence Using a Rich Family of Prior Distributions

  • Karan P. Singh


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.


Prior Distribution Posterior Density Under Sampling Rich Family Prior Structure 
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Copyright information

© Springer Science+Business Media Dordrecht 1996

Authors and Affiliations

  • Karan P. Singh
    • 1
  1. 1.Department of Biostatistics School of Public HealthUniversity of Alabama at BirminghamBirminghamEngland

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