Introduction to Birch (1963) Maximum Likelihood in Three-Way Contingency Tables

作者: Stephen E. Fienberg

DOI: 10.1007/978-1-4612-4380-9_32

关键词:

摘要: During the 1960s, there was an extremely rapid expansion of literature on categorical data analysis, especially related to use loglinear models for multidimensional contingency tables, culminating in a series papers by Goodman [e.g., see those collected (1978)] and monographs Bishop et al. (1975) Haberman (1974). The problems addressed this paralleled discrete/categorical multiple regression, analysis variance, general linear model continuous data. Loglinear methods have had major impact current statistical methodology today data, crucial paper Martin Birch that appeared 1963 provides underpinnings theory involved.

参考文章(34)
P. J. Cheek, P. McCullagh, J. A. Nelder, Generalized Linear Models, 2nd Edn. Applied Statistics. ,vol. 39, pp. 385- 386 ,(1990) , 10.2307/2347392
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
S. Kullback, Minimum discrimination information estimation. Biometrics. ,vol. 24, pp. 707- 713 ,(2006) , 10.1002/0471667196.ESS1642.PUB2
Peter McCullagh, John Ashworth Nelder, Generalized Linear Models ,(1983)
Peter Halfpenny, THE ANALYSIS OF QUALITATIVE DATA The Sociological Review. ,vol. 27, pp. 799- 827 ,(1979) , 10.1111/J.1467-954X.1979.TB00361.X
M. W. Birch, A Note on the Maximum Likelihood Estimation of a Linear Structural Relationship Journal of the American Statistical Association. ,vol. 59, pp. 1175- 1178 ,(1964) , 10.1080/01621459.1964.10480757
David E. Hapeman, Categorical Data Analysis Technometrics. ,vol. 33, pp. 241- 241 ,(1991) , 10.1080/00401706.1991.10484817
W. Edwards Deming, Frederick F. Stephan, On a Least Squares Adjustment of a Sampled Frequency Table When the Expected Marginal Totals are Known Annals of Mathematical Statistics. ,vol. 11, pp. 427- 444 ,(1940) , 10.1214/AOMS/1177731829
M. W. Birch, A New Proof of the Pearson-Fisher Theorem Annals of Mathematical Statistics. ,vol. 35, pp. 817- 824 ,(1964) , 10.1214/AOMS/1177703581