An Overview of Collapsibility

作者: Stefano Cantis , Antonino M. Oliveri

DOI: 10.1007/978-3-642-17103-1_55

关键词:

摘要: Collapsing over variables is a necessary procedure in much empirical research. Consequences are yet not always properly evaluated. In this paper, different definitions of collapsibility (simple, strict, strong, etc.) and corresponding sufficient conditions reviewed We point out the relevance limitations main contributions within unifying interpretative framework. deem such work to be useful since debate on topic has often developed terms that neither focused nor clear.

参考文章(12)
Stefano De Cantis, Antonino M. Oliveri, Collapsibility and Collapsing Multidimensional Contingency Tables—Perspectives and Implications Springer, Berlin, Heidelberg. pp. 341- 346 ,(2000) , 10.1007/978-3-642-59789-3_54
Martin W. Birch, Maximum Likelihood in Three-Way Contingency Tables Springer Series in Statistics. ,vol. 25, pp. 462- 477 ,(1992) , 10.1007/978-1-4612-4380-9_33
Linda June Davis, Whittemore's notion of collapsibility in multidimensional contingency tables Communications in Statistics - Theory and Methods. ,vol. 15, pp. 2541- 2554 ,(1986) , 10.1080/03610928608829267
Sheldon Zedeck, Problems with the use of "moderator" variables. Psychological Bulletin. ,vol. 76, pp. 295- 310 ,(1971) , 10.1037/H0031543
SØREN ASMUSSEN, DAVID EDWARDS, Collapsibility and response variables in contingency tables Biometrika. ,vol. 70, pp. 567- 578 ,(1983) , 10.1093/BIOMET/70.3.567
G. UNDY YULE, NOTES ON THE THEORY OF ASSOCIATION OF ATTRIBUTES IN STATISTICS Biometrika. ,vol. 2, pp. 121- 134 ,(1903) , 10.1093/BIOMET/2.2.121
Yvonne M Bishop, Stephen E Fienberg, Paul W Holland, None, Discrete Multivariate Analysis: Theory and Practice ,(1975)
Yvonne M. M. Bishop, Effects of collapsing multidimensional contingency tables. Biometrics. ,vol. 27, pp. 545- 562 ,(1971) , 10.2307/2528596
M. Aitkin, M. Aickin, Linear Statistical Analysis of Discrete Data. Biometrics. ,vol. 40, pp. 1210- ,(1984) , 10.2307/2531184
M. S. Bartlett, Contingency Table Interactions Supplement to the Journal of the Royal Statistical Society. ,vol. 2, pp. 248- 252 ,(1935) , 10.2307/2983639