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L.A. Goodman. The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries. Annals of Statistics, 13(1):10--69, 1985.

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Application of Tube Formula to Distributional Problems in.. - Kuriki, Takemura (2001)   (Correct)

....Takemura [17] 7 5 Order restricted correspondence analysis. Let (n ij ) be an a b contingency table with ordinal row and column categories. As statistical models for such ordered categorical data, the following models of cell probabilities have been proposed (Nishisato and Arri [25] Goodman [6]) p ij = p i p (1 # i # j ) correspondence analysis) 5.1) or p ij = exp # i # j # i # j (RC association model) 5.2) where i s and # j s are order restricted scores with side conditions p i i = p i j = 1. A natural estimator of # in the order restricted ....

Goodman, L. A. The analysis of cross-classified data having ordered and/or unordered categories: association models, correlation models, and asymmetry models for contingency


The Gifi System Of Descriptive Multivariate Analysis - Michailidis, DE LEEUW (1998)   (Correct)

....while statistical inference takes a back seat [9] Nevertheless, there have been many attempts to transform correspondence analysis of contingency tables into a model based approach appropriate for formal inference. In this line of research we have association models and correlation models [40, 41, 44, 33, 34, 42, 43, 15] and their extensions to handle ordinal data [85, 35, 82] On another line we have the development of latent structure models for analyzing a single or a set of multidimensional contingency tables [68, 39, 50, 13, 14] Finally, it is worth mentioning that the ideas of optimal scaling of the ....

Goodman, L.A. (1985), "The Analysis of Cross-Classified Data Having Ordered and/or Unordered Categories: Association Models, Correlation Models and Assymetry Models for Contingency Tables with or without Missing Entries," The Annals of Statistics, 13, 10-69


Journal of Machine Learning Research 3 (2003) 1307-1331.. - Amir Globerson Gamir   (Correct)

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L.A. Goodman. The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries. Annals of Statistics, 13(1):10--69, 1985.


Sufficient Dimensionality Reduction - Globerson, Tishby (2003)   (Correct)

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L.A. Goodman. The analysis of cross-classified data having ordered and/or unordered categories: Association models, correlation models, and asymmetry models for contingency tables with or without missing entries. Annals of Statistics, 13(1):10--69, 1985.

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