Therapeutic Equivalence Using a Rich Family of Prior Distributions

Karan P. Singh
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Karan P. Singh: University of Alabama at Birmingham, Department of Biostatistics School of Public Health

A chapter in Lifetime Data: Models in Reliability and Survival Analysis, 1996, pp 315-322 from Springer

Abstract: 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.

Keywords: Prior Distribution; Posterior Density; Under Sampling; Rich Family; Prior Structure (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-5654-8_41

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DOI: 10.1007/978-1-4757-5654-8_41

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