A two-dimensional index for marginal homogeneity in ordinal square contingency tables [PDF]
, 2021 For square contingency tables with ordered categories, indexes that represent the degree of departure from the marginal homogeneity (MH) model have been proposed. There are two types of directionalities of departure from MH. The existing indexes, however,
Aki Ishii +3 more
core
The Geometry of Statistical Models for Two-Way Contingency Tables with Fixed Odds Ratios [PDF]
, 2005 We study the geometric structure of the statistical models for two-by-two contingency tables. One or two odds ratios are fixed and the corresponding models are shown to be a portion of a ruled quadratic surface or a segment.
Carlini, Enrico, Rapallo, Fabio
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Maximum likelihood estimation in log-linear models
, 2012 We study maximum likelihood estimation in log-linear models under conditional Poisson sampling schemes. We derive necessary and sufficient conditions for existence of the maximum likelihood estimator (MLE) of the model parameters and investigate ...
Fienberg, Stephen E. +1 more
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Evaluation of missing data mechanisms in two and three dimensional incomplete tables
, 2018 The analysis of incomplete contingency tables is a practical and an interesting problem. In this paper, we provide characterizations for the various missing mechanisms of a variable in terms of response and non-response odds for two and three dimensional
Ghosh, S., Vellaisamy, P.
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Improved approximate unbiased estimators of the measure of departure from partial symmetry for square contingency tables [PDF]
, 2021 For square contingency tables, the measure to represent the degree of departure from the partial symmetry model was proposed. It is necessary to estimate the measure because it is constructed of unknown parameters.
Kiyotaka Iki +3 more
core
Contingency tables with prescribed marginals [PDF]
, 2018 For an adjustment of contingency tables to prescribed marginal frequencies Deming and Stephan (1940) minimize a Chi-square expression. Asymptotically equivalently, Ireland and Kullback (1968) minimize a Leibler-Kullback divergence, where the ...
Aebi, Robert
core
Sequential importance sampling for multiway tables
, 2005 We describe an algorithm for the sequential sampling of entries in multiway contingency tables with given constraints. The algorithm can be used for computations in exact conditional inference.
Chen, Yuguo +2 more
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A conjugate prior for discrete hierarchical log-linear models
, 2009 In Bayesian analysis of multi-way contingency tables, the selection of a prior distribution for either the log-linear parameters or the cell probabilities parameters is a major challenge. In this paper, we define a flexible family of conjugate priors for
Dobra, Adrian +2 more
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An exploratory canonical analysis approach for multinomial populations based on the $\phi$-divergence measure [PDF]
, 2004 summary:In this paper we consider an exploratory canonical analysis approach for multinomial population based on the $\phi $-divergence measure. We define the restricted minimum $\phi $-divergence estimator, which is seen to be a generalization of the ...
Pardo, J. A. +3 more
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Bayes factors and the geometry of discrete hierarchical loglinear models
, 2011 A standard tool for model selection in a Bayesian framework is the Bayes factor which compares the marginal likelihood of the data under two given different models.
Letac, Gerard, Massam, Helene
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