New confidence intervals for the proportion of interest in one-sample correlated binary data

Seung Ho Kang, Yonghee Lee

Research output: Contribution to journalArticle

1 Citation (Scopus)


Correlated binary data is obtained in many fields of biomedical research. When constructing a confidence interval for the proportion of interest, asymptotic confidence intervals have already been developed. However, such asymptotic confidence intervals are unreliable in small samples. To improve the performance of asymptotic confidence intervals in small samples, we obtain the Edgeworth expansion of the distribution of the studentized mean of beta-binomial random variables. Then, we propose new asymptotic confidence intervals by correcting the skewness in the Edgeworth expansion in one direct and two indirect ways. New confidence intervals are compared with the existing confidence intervals in simulation studies.

Original languageEnglish
Pages (from-to)2865-2876
Number of pages12
JournalCommunications in Statistics - Theory and Methods
Issue number16
Publication statusPublished - 2010 Aug 19


All Science Journal Classification (ASJC) codes

  • Statistics and Probability

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