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An expressive and comprehensive situation picture is necessary for a reliable decision making in various application fields. The domain knowledge, however, is often too complex to be handled individua...
In this paper we introduce a new technique for the detection of outliers in contingency tables. Outliers are defined with respect to classical loglinear Poisson models. For the computations, we defin...
The paper considers general multiplicative models for complete and incomplete contingency tables that generalize log-linear and several other models and are entirely coordinate free. Sufficient condit...
In this paper we provide a definition of pattern of outliers in contingency tables within a model-based framework. In particular, we make use of log-linear models and exact goodness-of-fit tests to sp...
We study Markov bases of decomposable graphical models consisting of primitive moves (i.e., square-free moves of degree two) by determining the structure of fibers of sample size two. We show that t...
Lienert (1969, 1971a) justified his invention of Configural Frequency Analysis (CFA) by the ob-servation that higher-order interactions may exist in three- and higher-dimensional data even if no corre...
Decomposing Independence Model Using Collapsed Tables for Contingency Tables Having Ordered Categories
The spatial clustering of points from two or more classes (or species) has important implications in many fields and may cause the spatial patterns of segregation and association, which are two major ...
For square contingency tables with ordered categories, Tomizawa (1992) proposed three kinds of double symmetry models, whose each has a structure of both symmetry about the main diagonal and asymmetry...
For square contingency tables with ordered categories, this paper proposes some dis- tance subsymmetry models. The one model indicates that the cumulative probability that an observation will fall i...
For square contingency tables with ordered categories, Agresti (1984, 2002) considered the marginal cumulative logistic (ML) model, which is an extension of the marginal homogeneity (MH) model. Miya...
For the analysis of square contingency tables, Tomizawa and Makii (2001), and Tomizawa, Miyamoto and Ashihara (2003) considered the measures to represent the degree of departure from marginal homoge...
Spatial interaction between two or more classes or species has important implications in various fields and causes multivariate patterns such as segregation or association. Segregation occurs when mem...
An iterative method of De Jong, Greig and Madan(1985)for obtaining maximum likelihood estimates for contingency tables derived from a Mover-Stayer model is considered. It is shown that this method wor...
In this paper we consider a Bayesian analysis of contingency tables allowing for the possibility that cells may have probability zero. In this sense we depart from standard log-linear modeling that ...

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