含结构零2×2表中风险比齐性检验的样本量研究(英文)  

SAMPLE SIZE STUDY FOR A TEST OF HOMOGENEITY OF RISK RATIOS IN 2×2 TABLES WITH STRUCTURAL ZERO

作　　者：王顺芳[1] 王学仁[2] 

机构地区：[1]云南大学信息学院,云南昆明650091 [2]云南大学数学与统计学院,云南昆明650091

出　　处：《数学杂志》2013年第2期191-202,共12页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China (10901135;11261068; 11171293);Natural Science Foundation of Yunnan Province (2008CD081; 2010CC003);Special Foundation for Middle and Young Excellent Reseachers of Yunnan University and Special Foundation for Middle and Young Excellent Reseachers of Kunming

摘　　要：本文研究了在临床和流行病学中出现的K个独立含结构零的2 × 2列联表. 利用风险比推导出基于Wald型, 基于对数变换型以及基于Score型的三个检验统计量, 以检验层间齐性假设, 获得了分别基于这三个检验统计量的控制功效的样本量公式和数值实验结果. 模拟研究表明基于Score检验和基于对数变换检验的样本量公式比基于Wald检验的样本量公式更精确, 更能有效保证预先给定的功效. 推广了基于列联表问题的假设检验方法.This paper investigates K independent 2 × 2 contingency tables with structural zero in clinical and epidemiological studies. By using the measurement of risk ratio, we present three test statistics： the Wald-based, the logarithmic-transformation-based and the Score-based statistics to test the homogeneity hypothesis across strata. Power-controlled sample size formulae and corresponding numerical experiment results are obtained based on the above three tests. The simulation studies show that generally the sample sizes associated with the Score-based and the logarithmic-transformation-based tests are more accurate to guarantee the pre-specified power than the Wald-based one, which develop the hypothesis testing methods based on the contingency tables.

关 键 词：齐性检验 对数变换检验 风险比 SCORE检验 

分 类 号：O212.1[理学—概率论与数理统计]