Improved Confidence Intervals for the Difference of Marginal Proportions in Binary Matched-Pairs Design

Lee-Shen Chen ； Che-Yang Lin ； Ming-Chung Yang

《中國統計學報》 46卷2期 (2008/06) Pp. 106-117

https://doi.org/10.29973/JCSA.200806.0002

並列摘要

This paper considers interval estimation of the difference of marginal proportions for binary matched-pairs data. We adapt the modified p-value method in Lin and Yang (2006) to obtain improved confidence intervals, which are based on the modified p-value derived by one two-sided score test statistics in Tango (1998) and Tang, Tang, and Chan (2005). The improved confidence interval guarantees its corresponding coverage probability greater than or equal to the nominal confidence level. Compared to the confidence interval derived by the exact unconditional method in Tang et al. (2005), numerical results show that the improved confidence interval has the actual confidence levels closer to the nominal confidence levels and shorter mean confidence widths for small to moderately large sample sizes.

並列關鍵字

Interval estimation ； exact unconditional method ； p-value ； matched-pairs design ； marginal proportion

參考文獻

Agresti, A.(2003).Dealing with discreteness: making ‘exact' confidence intervals for proportions, differences of proportions, and odds ratios more exact.Statistical Methods in Medical Research.12,3-21.

Agresti, A.,Min, Y.(2001).On small-sample confidence intervals for parameters in discrete distributions.Biometrics.57,963-971.

Lin, C. Y.,Yang, M. C.(2006).Improved exact confidence interval for the odds ratio in two independent binomial trials.Biometrical Journal.48,1008-1019.

Liu, J. P.,Hsueh, H. M.,Hsieh, E.,Chen, J. J.(2002).Tests for equivalence or non-inferiority for paired binary data.Statistics in Medicine.21,231-245.

Newcombe, R. G.(1999).Reply to comment on improved confidence intervals for the difference between binomial proportions based on paired data.Statistics in Medicine.18,3513-3513.