Some Complexity Considerations Concerning Hypotheses In Multidimensional Contingency Tables
作者： Tomáš Havránek
DOI: 10.1007/978-94-009-7013-7_35
关键词: Mathematical economics 、 Theoretical computer science 、 Mathematics 、 Hierarchy 、 Formal representation 、 Simple (abstract algebra) 、 Contingency table 、 Representation (systemics)
摘要: A simple formal representation of hierarchical log-linear hypotheses (models) for multidimensional contingency tables is presented. This leads to a complexity hierarchy between these hypotheses.
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sci-hub.st 参考文章(9)
Tomáš Havránek, Petr Hájek, Mechanizing Hypothesis Formation: Mathematical Foundations for a General Theory ,(1978)
Leo A. Goodman, Partitioning of Chi-Square, Analysis of Marginal Contingency Tables, and Estimation of Expected Frequencies in Multidimensional Contingency Tables Journal of the American Statistical Association. ,vol. 66, pp. 339- 344 ,(1971) , 10.1080/01621459.1971.10482265
J. N. Darroch, T. P. Speed, Additive and Multiplicative Models and Interactions Annals of Statistics. ,vol. 11, pp. 724- 738 ,(1983) , 10.1214/AOS/1176346240
Nanny Wermuth, Linear Recursive Equations, Covariance Selection, and Path Analysis Journal of the American Statistical Association. ,vol. 75, pp. 963- 972 ,(1980) , 10.1080/01621459.1980.10477580
Nanny Wermuth, Model Search among Multiplicative Models Biometrics. ,vol. 32, pp. 253- ,(1976) , 10.2307/2529496
J. N. Darroch, S. L. Lauritzen, T. P. Speed, Markov Fields and Log-Linear Interaction Models for Contingency Tables Annals of Statistics. ,vol. 8, pp. 522- 539 ,(1980) , 10.1214/AOS/1176345006
Yvonne M Bishop, Stephen E Fienberg, Paul W Holland, None, Discrete Multivariate Analysis: Theory and Practice ,(1975)
Leo A. Goodman, The Multivariate Analysis of Qualitative Data: Interactions among Multiple Classifications Journal of the American Statistical Association. ,vol. 65, pp. 226- 256 ,(1970) , 10.1080/01621459.1970.10481076
H. Enke, To some reasonable test procedures in multiple contingency tables to investigate certain epidemiological or medicin-sociological relationships Biometrical Journal. ,vol. 22, pp. 779- 793 ,(1980) , 10.1002/BIMJ.4710220813