Links between binary and multi-category logit item response models and quasi-symmetric loglinear models
Alan Agresti (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Displaying similar documents to “Alternative statistical models and representations for large sparse multi-dimensional contingency tables”
Links between binary and multi-category logit item response models and quasi-symmetric loglinear models
The analysis of symmetry and asymmetry : orthogonality of decomposition of symmetry into quasi-symmetry and marginal symmetry for multi-way tables
Sadao Tomizawa, Kouji Tahata (2007)
Journal de la société française de statistique
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For the analysis of square contingency tables, Caussinus (1965) proposed the quasi-symmetry model and gave the theorem that the symmetry model holds if and only if both the quasi-symmetry and the marginal homogeneity models hold. Bishop, Fienberg and Holland (1975, p.307) pointed out that the similar theorem holds for three-way tables. Bhapkar and Darroch (1990) gave the similar theorem for general multi-way tables. The purpose of this paper is (1) to review some topics on various symmetry...
On the relation between two generalized cases of Thurstone's law of comparative judgment
G. de Soete (1983)
Mathématiques et Sciences Humaines
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Contributions to the statistical analysis of contingency tables : notes on quasi-symmetry, quasi-independence, log-linear models, log-bilinear models, and correspondence analysis models
Leo A. Goodman (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Simulation studies on model search in -dimensional contingency tables. Preliminary results
Malte Bismarck, Christel Deutschmann, Dana Králová (1990)
Aplikace matematiky
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In model search procedures for multidimensional contingency tables many different measures are used for decision for the goodness of model search, for instance , AIC or . Simulation studies should give us an insight into the behaviour of the measures with respect to the data, the sample size, the number of degrees of freedom and the probability given distribution. To this end different log-linear models for 3-dimensional contingency tables were given and then 1,000 contingency tables...
On the logical development of statistical models.
Daniel Peña (1988)
Trabajos de Estadística
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This paper presents a classification of statistical models using a simple and logical framework. Some remarks are made about the historical appearance of each type of model and the practical problems that motivated them. It is argued that the current stages of the statistical methodology for model building have arisen in response to the needs for more sophisticated procedures for building dynamic-explicative types of models. Some potentially important topics for future research are included. ...