Powerful Test of Two Proportions by Assuming a Registered Prior Density

A method for constructing powerful significance tests for the equivalence of two proportions is proposed by assuming prior density values. Recent changes in the medical research environment emphasize the need for choice of a prior density in advance of any study. The proposed test is based on the po...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2016-07, Vol.45 (6), p.1936-1949
Main Authors: Ogura, Toru, Yanagimoto, Takemi
Format: Article
Language:English
Subjects:
Computation
Computer simulation
Construction
Density
Equivalence
Fisher's exact test
Medical research
mid-p test
Monotonicity of critical region
Preservation of significance level
Preserves
Primary 62P10
Secondary 62-07
Superiority test
Test procedures
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Summary:A method for constructing powerful significance tests for the equivalence of two proportions is proposed by assuming prior density values. Recent changes in the medical research environment emphasize the need for choice of a prior density in advance of any study. The proposed test is based on the posterior probability of the alternative model and preserves the significance level with minimal reduction of power. The new test performs better than the familiar mid-p test under the uniform prior density condition. In addition, the computational burden is low. Potential extensions of the proposed test to related problems are also discussed.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2014.882949