Open Access
2009 POST-DATA ESTIMATION OF BINOMIAL TESTING POWER
Chih-Chien Tsai, C. Andy Tsao
Taiwanese J. Math. 13(6B): 1867-1883 (2009). DOI: 10.11650/twjm/1500405646

Abstract

Under a robust Bayesian framework, we study the problem of power estimation in binomial hypothesis testing problems. For testing the binomial mean, the observed powers are maximum likelihood estimates of power functions for one-sided and two-sided problems. With respect to these functions, we show that the observed powers are too large when the data is significant for some beta families of priors. A practical implication about the problem of sample size calculation is discussed.

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Chih-Chien Tsai. C. Andy Tsao. "POST-DATA ESTIMATION OF BINOMIAL TESTING POWER." Taiwanese J. Math. 13 (6B) 1867 - 1883, 2009. https://doi.org/10.11650/twjm/1500405646

Information

Published: 2009
First available in Project Euclid: 18 July 2017

zbMATH: 1330.62087
MathSciNet: MR2583526
Digital Object Identifier: 10.11650/twjm/1500405646

Subjects:
Primary: 62F03 , 62F35
Secondary: 62C10 , 62F15

Keywords: Bayes estimates , Bayesian robustness analysis , beta prior , binomial hypothesis testing , observed power , power function , sample size calculation

Rights: Copyright © 2009 The Mathematical Society of the Republic of China

Vol.13 • No. 6B • 2009
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