Full Contingency Tables, Logits, and Split Contingency Tables

作者: Yvonne M. M. Bishop

DOI: 10.2307/2528796

关键词:

摘要: Three methods of fitting log-linear models to multivariate contingency-table data with one dichotomous variable are discussed. Logit analysis is commonly used when a full contingency table s dimensions regarded as rates dimension -1. The split-table method treats the same two separate tables each We show that can be generalized approach: which fitted by it include both mutually exclusive subsets other methods. Even logit permits model choice fitted, iterative proportional set sufficient configurations has advantage requiring neither matrix inversion nor substitution an arbitrary value in empty elementary cells.

参考文章(29)
G. V. Dyke, H. D. Patterson, Analysis of Factorial Arrangements when the Data are Proportions Biometrics. ,vol. 8, pp. 1- ,(1952) , 10.2307/3001521
M. E. Wise, Multinomial Probabilities and the χ 2 and X 2 Distributions Biometrika. ,vol. 50, pp. 145- ,(1963) , 10.2307/2333755
M. W. Birch, The Detection of Partial Association, I: The 2 × 2 Case Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 26, pp. 313- 324 ,(1964) , 10.1111/J.2517-6161.1964.TB00564.X
D. Friedlander, A Technique for Estimating a Contingency Table, Given the Marginal Totals and Some Supplementary Data Journal of the Royal Statistical Society. Series A (General). ,vol. 124, pp. 412- 420 ,(1961) , 10.2307/2343244
Leo A. Goodman, On Methods for Comparing Contingency Tables Journal of the Royal Statistical Society: Series A (General). ,vol. 126, pp. 94- 108 ,(1963) , 10.2307/2982447
M. S. Bartlett, Contingency Table Interactions Supplement to the Journal of the Royal Statistical Society. ,vol. 2, pp. 248- 252 ,(1935) , 10.2307/2983639
Leo A. Goodman, On Plackett's Test for Contingency Table Interactions Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 25, pp. 179- 188 ,(1963) , 10.1111/J.2517-6161.1963.TB00497.X
R. L. Plackett, A Note on Interactions in Contingency Tables Journal of the Royal Statistical Society: Series B (Methodological). ,vol. 24, pp. 162- 166 ,(1962) , 10.1111/J.2517-6161.1962.TB00449.X