Yule测度的可压缩性被引量：1

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摘要 Simpson悖论提醒人们在低维空间的统计推断可能会严重歪曲高维现实 .针对该悖论 ,研究Yule测度的简单可压缩性、强可压缩性和连续可压缩性 ,给出这些可压缩性的充分必要条件 .这些条件对于观测和试验研究设计、消除混杂偏倚。

作者郭建华耿直史宁中

机构地区吉林大学数学研究所北京大学概率统计系东北师范大学数学系

出处《中国科学（A辑）》 CSCD 北大核心 2001年第4期324-331,共8页 Science in China(Series A)

基金国家自然科学基金! (批准号 :198310 10 ) 国家杰出青年基金!资助项目

关键词可压缩性条件独立性 Simpson悖论 Yule测度统计推断相关测度

参考文献21

1[1]Simpson E H. The interpretation of interaction in contingency tables. J R Statist Soc B, 1951, 13: 238～241
2[2]Bishop Y M M. Effects of collapsing multidimensional contingency tables. Biometrics, 1971, 27: 545～562
3[3]Whittemore A S. Collapsibility of multidimensional contingency tables. J R Statist Soc B, 1978, 40: 328～340
4[4]Good I J, Mittal Y. The amalgamation and geometry of two_by_two contingency tables. Ann Statist, 1987, 15: 694～711
5[5]Gail M H. Adjusting for covariates that have the same distribution in exposed and unexposed cohorts. In: Moolgavkar S H, Prentice R L, eds. Modern Statistical Methods in Chronic Disease Epidemiology. New York: Wiley, 1986. 3～18
6[6]Wermuth N. Parametric collapsibility and the lack of moderating effects in contingency tables with a dichotomous response variable. J R Statist Soc B, 1987, 49: 353～364
7[7]Wermuth N. Moderating effects of subgroups in linear models. Biometrika, 1989, 76: 81～92
8[8]Ducharme G R, Lepage Y. Testing collapsibility in contingency tables. J R Statist Soc B, 1986, 48: 197～205
9[9]Geng Z. Collapsibility of relative risk in contingency tables with a response variable. J R Statist Soc B, 1992, 54: 585～593
10[10]Guo J H, Geng Z. Collapsibility of logistic regression coefficients. J R Statist Soc B, 1995, 57: 263～267

1Simpson E H. The interpretation of interaction in contingency tables[ J]. J R Statist Soc B, 1951,13:238 - 241.
2Geng Z. Collapsibility of relative risk in contingency tables with a response variable[ J ]. J R Statist Soc B, 1992,54:585 - 593.
3Geng Z. Strong collapsibility of asseiation measure in linear model[ J]. J R Statist Soc B, 1993,55.
4Guo J H, Geng Z. Collapsibility of logistic regression coefficients [ J -. J R Statist.Soc B, 1995,57:263 - 267.
5Guo J H, Geng Z, Fung W K. Consecutive collapsibility of odds ratios over an ordinal background vaiiable [ J ]. Journal of multivariate analysis, 2001,79( 1 ) : 89 - 98.
6Ma Z, Xie X, Geng Z. Collapsibility of distribution dependence[ J ]. J R Statist Soc B, 2006,68 (1) :127 - 133.
7BishopYMM.离散多元分析:理论与实践[M].张尧庭,译.北京:中国统计出版社,1998.
8Cox D R, Wermuth N. A general condition for avoiding effect reversal after marginalization [ J ]. J R Statist Soe B, 2003,65 (4) :937 - 941.
9Yule G U. Notes on the theory of association of attributes in statistics[J]. Biometrika, 1903,2(2) :121 - 134.
10李开灿.列联表中辅助交互作用的可压缩性[J].应用概率统计,1998,14(2):173-176. 被引量：8

中国科学（A辑）

2001年第4期

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