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Outlier Detection in Contingency Tables based on Minimal Patterns
Robust estimators Loglinear models Minimal patterns.
2012/9/19
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...
Relational models for contingency tables
Contingency tables curved exponential family expo-nential family generalized odds ratios maximum likelihood estimate multiplicative model
2011/3/24
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...
Outliers and patterns of outliers in contingency tables with Algebraic Statistics
Algebraic Statistics goodness-of-fi t tests log-linear mod-els toric models
2011/3/18
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...
Minimal and minimal invariant Markov bases of decomposable models for contingency tables
chordal graph Grobner bases independence graph invariance minimality symmetric group
2010/4/26
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...
Decomposing Independence Model Using Collapsed Tables for Contingency Tables Having Ordered Categories
Decomposing Independence Model Collapsed Tables Contingency Tables
2009/9/17
Decomposing Independence Model Using Collapsed Tables for Contingency Tables Having Ordered Categories。
New Tests of Spatial Segregation Based on Nearest Neighbor Contingency Tables
Association spatial clustering complete spatial randomness independence nearest neighbor methods
2010/4/30
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 ...
Decompositions for Extended Double Symmetry Models in Square Contingency Tables with Ordered Categories
decomposition double symmetry marginal double symmetry ordered category quasi double symmetry square contingency table unaided vision data
2009/3/6
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...
DECOMPOSITIONS OF SYMMETRYMODEL INTO MARGINAL HOMOGENEITY AND DISTANCE SUBSYMMETRY IN SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES
decomposition distance subsymmetry model marginal homogeneity model ordered category square contingency table symmetry model
2009/2/25
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...
DECOMPOSITIONS OF MARGINAL HOMOGENEITY MODEL USING CUMULATIVE LOGISTIC MODELS FOR MULTI-WAY CONTINGENCY TABLES
decomposition marginal cumulative logistic model marginal homogeneity marginal mean multi-way contingency table
2009/2/25
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...
MEASURE OF DEPARTURE FROM EXTENDED MARGINAL HOMOGENEITY FOR SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES
cumulative probability Kullback–Leibler information marginal homogeneity measure ordered category power-divergence Shannon entropy square contingency table
2009/2/25
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...
Directional Clustering Tests Based on Nearest Neighbor Contingency Tables
Association clustering complete spatial randomness independence random labeling spatialpattern
2010/3/18
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...
Algebraic Bayesian analysis of contingency tables with possibly zero-probability cells
Algebraic statistics Bayes factor Compatible priors Exponential family Log-linear model Model-instance
2010/4/27
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 ...