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contingency table; model search; measures for decision; log-linear model; simulation study; log-linear models; 3-dimensional contingency tables; empirical frequencies

References:

[1] H. Akaike: **Information theory and an extension of the maximum likelihood principle**. 2nd International Symposium on Information Theory, B. N. Petrov and F. Csaki, Eds., Akademiai Kiado, Budapest (1973), 267-281. MR 0483125 | Zbl 0283.62006

[2] H. Akaike: **A new look at the statistical model identification**. IEEE Transcations on Automatic Control AC-19 (1974), 716-723. DOI 10.1109/TAC.1974.1100705 | MR 0423716 | Zbl 0314.62039

[3] H. Akaike J. Sakamoto: **Analysis of cross-classified data by AIC**. Ann. Inst. Statist. Math. 30 (1978), Part B, 185-197. MR 0507093

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[8] N. Victor: **Analysis of multidimensional contingency tables**. Dissertation A, Mainz (1970).

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