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http://dx.doi.org/10.5351/KJAS.2003.16.2.377

A Comparison of Confidence Intervals for the Difference of Proportions  

정형철 (평택대학교 정보통계학과)
전명식 (고려대학교 통계학과)
김대학 (대구가톨릭대학교 정보통계학과)
Publication Information
The Korean Journal of Applied Statistics / v.16, no.2, 2003 , pp. 377-393 More about this Journal
Abstract
Several confidence interval estimates for the difference of two binomial proportions were introduced. Bootstrap confidence interval is also suggested. We examined the over estimation property of approximate intervals and under estimation trend of exact intervals for the difference of proportions. We compared these confidence intervals based on the average coverage probability, expected width and skewness measure. Particularly actual coverage probability were calculated by using the prior distribution of parameters. Monte Carlo simulation for small sample size is conducted. Some interesting contour plots of average coverage probability and marginal plots for several interval estimates are presented.
Keywords
Population proportion; difference of proportions; confidence interval; exact confidence interval; bootstrap method; coverage probability; skewness;
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