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Random Structures and Algorithms, 1997
This article is devoted to the study of random sampling from a set of contingency tables. First, the authors show that the problem of determining the exact number of contingency tables is \#P-complete. They prove this result by establishing a relationship between their problem and the computation of the \((n-1)\)-dimensional volume of the polytope ...
Martin E. Dyer, Ravi Kannan, John Mount
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This article is devoted to the study of random sampling from a set of contingency tables. First, the authors show that the problem of determining the exact number of contingency tables is \#P-complete. They prove this result by establishing a relationship between their problem and the computation of the \((n-1)\)-dimensional volume of the polytope ...
Martin E. Dyer, Ravi Kannan, John Mount
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Contingency tables with given marginals
Biometrika, 1968SUMMARY In its simplest formulation the problem considered is to estimate the cell probabilities pij Of an r x c contingency table for which the marginal probabilities pi and p j are known and fixed, so as to minimize E2pij In (Pi/r1ij), where rij are the corresponding entries in a given contingency table.
Ireland, C. T., Kullback, S.
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Full Contingency Tables, Logits, and Split Contingency Tables
Biometrics, 1969Three methods of fitting log-linear models to multivariate contingency-table data with one dichotomous variable are discussed. Logit analysis is commonly used when a full contingency table of s dimensions is regarded as a table of rates of dimension s -1. The split-table method treats the same data as two separate tables each of dimension s -1. We show
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1996
Abstract Before we begin developing the formal theory, it seems appropriate to consider a few examples that illustrate some basic points.
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Abstract Before we begin developing the formal theory, it seems appropriate to consider a few examples that illustrate some basic points.
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Contingency matrix theory: Statistical dependence in a contingency table
Information Sciences, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Algebraic Analysis of Contingency Tables
Journal of the Royal Statistical Society, 1943Not ...
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Distribution of derminants of contingency tables
2009 IEEE International Conference on Systems, Man and Cybernetics, 2009This paper gives a empirical analysis of determinant, which empirically validates the trade-off between sample size and size of matrix. In the former studies, relations between degree of granularity and dependence of contingency tables are given from the viewpoint of determinantal divisors and sample size.
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