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Exact Average Coverage Probabilities and Confidence Coefficients of Intervals for a Risk Difference

Abstract Number:

1989 

Submission Type:

Contributed Abstract 

Contributed Abstract Type:

Poster 

Participants:

Chung-Han Lee (1), Yu-Hsuan Tai (1)

Institutions:

(1) National Chung Cheng University, Chiayi

Co-Author:

Yu-Hsuan Tai  
National Chung Cheng University

First Author:

Chung-Han Lee  
National Chung Cheng University

Presenting Author:

Chung-Han Lee  
National Chung Cheng University

Abstract Text:

For a confidence interval of a parameter in the binomial distribution, the coverage probability is a variable function of the parameter. The confidence coefficient is the infimum of the coverage probabilities and is an important behavior of the confidence interval. However, the exact confidence coefficient and average coverage probability of interval for two independent binomial distributions have not been accurately derived in the literature. In this study, we propose methodologies for calculating the exact confidence coefficients and average coverage probabilities of confidence intervals for a difference of the binomial proportions. Therefore, using these methodologies, we illustrate the performance of existing intervals and provide recommendations.

Keywords:

Binomial distribution|Confidence coefficient|Confidence interval|Coverage probability|Difference of proportions| Risk difference

Sponsors:

Biometrics Section

Tracks:

Categorical Data

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