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二项分布参数差异的近似区间估计:偏度校正及对多个表格的扩展

Approximate interval estimation of the difference in binomial parameters: correction for skewness and extension to multiple tables.

作者信息

Gart J J, Nam J M

机构信息

Mathematical Statistics and Applied Mathematics Section, National Cancer Institute, Bethesda, Maryland 20892.

出版信息

Biometrics. 1990 Sep;46(3):637-43.

PMID:2242407
Abstract

Recently, Beal (1987, Biometrics 43, 941-950) found Mee's modification of Anbar's approximate interval estimation for the difference in binomial parameters to be a good choice in small sample sizes. As this method can be derived from the score theory of Bartlett, it is easily corrected for skewness. Exact numerical evaluation shows that this correction is not as important for this case as for the ratio of binomial parameters (Gart and Nam, 1988, Biometrics 44, 323-338). The score theory is also used to extend this method to the stratified or multiple-table case. Thus, good approximate interval estimates for differences, ratios, and odds ratios of binomial parameters can all be derived from the same general theory.

摘要

最近,比尔(1987年,《生物统计学》43卷,941 - 950页)发现,米对安巴尔二项式参数差异近似区间估计的修正,在小样本量情况下是个不错的选择。由于该方法可从巴特利特的得分理论推导得出,所以很容易针对偏度进行校正。精确的数值评估表明,这种校正对于此情形而言,不像对二项式参数的比率那样重要(加特和南,1988年,《生物统计学》44卷,323 - 338页)。得分理论还被用于将此方法扩展到分层或多表情形。因此,二项式参数差异、比率和优势比的良好近似区间估计都可从同一通用理论推导得出。

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