Collapsibility of Relative Risk in Contingency Tables with a Response Variable

作者: Zhi Geng

DOI: 10.1111/J.2517-6161.1992.TB01898.X

关键词:

摘要: We consider the collapsibility of relative risks in contingency tables with a polytomous response variable. Simple means that they are consistent over all levels collapsed variable and also coincide corresponding marginal risk. Strong retain simple no matter how is partially collapsed. present necessary sufficient conditions for strong collapsibilities

参考文章(15)
Alice S. Whittemore, Collapsibility of Multidimensional Contingency Tables Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 40, pp. 328- 340 ,(1978) , 10.1111/J.2517-6161.1978.TB01046.X
I. J. Good, Y. Mittal, The Amalgamation and Geometry of Two-by-Two Contingency Tables Annals of Statistics. ,vol. 15, pp. 694- 711 ,(1987) , 10.1214/AOS/1176350369
J. N. DARROCH, Multiplicative and additive interaction in contingency tables Biometrika. ,vol. 61, pp. 207- 214 ,(1974) , 10.1093/BIOMET/61.1.207
NANNY WERMUTH, Moderating effects of subgroups in linear models Biometrika. ,vol. 76, pp. 81- 92 ,(1989) , 10.1093/BIOMET/76.1.81
Stanley H. Shapiro, Collapsing Contingency Tables—A Geometric Approach The American Statistician. ,vol. 36, pp. 43- 46 ,(1982) , 10.1080/00031305.1982.10482777
H. O. Lancaster, The chi-squared distribution ,(1969)
JRM Innes, BM Ulland, Marion G Valerio, L Petrucelli, L Fishbein, ER Hart, AJ Pallotta, RR Bates, HL Falk, JJ Gart, M Klein, I Mitchell, J Peters, None, Bioassay of Pesticides and Industrial Chemicals for Tumorigenicity in Mice: A Preliminary Note Journal of the National Cancer Institute. ,vol. 42, pp. 1101- 1114 ,(1969) , 10.1093/JNCI/42.6.1101
Yvonne M. M. Bishop, Effects of collapsing multidimensional contingency tables. Biometrics. ,vol. 27, pp. 545- 562 ,(1971) , 10.2307/2528596
Nanny Wermuth, Parametric Collapsibility and the Lack of Moderating Effects in Contingency Tables with a Dichotomous Response Variable Journal of the royal statistical society series b-methodological. ,vol. 49, pp. 353- 364 ,(1987) , 10.1111/J.2517-6161.1987.TB01706.X