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Contingency tables with given marginals
Abstract
In its simplest formulation the problem considered is to estimate the cell probabilities Pij of an r × c contingency table for which the marginal probabilities Pi and Pj are known and fixed, so as to minimize ΣΣpij In (pij/πij), where πij are the corresponding entries in a given contingency table. An iterative procedure is given for determining the estimates and it is shown that the estimates are BAN, and that the iterative procedure is convergent. A summary of results for a four-way contingency table is given. An illustrative example is given.
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Cites
Deming, W. E., & Stephan, F. F. (1940) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177731829 · Cited by 1,537
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$I$-Divergence Geometry of Probability Distributions and Minimization Problems
Csiszar, I. (1975) · The Annals of Probability · doi:10.1214/aop/1176996454 · Cited by 1,645
The Multivariate Analysis of Qualitative Data: Interactions among Multiple Classifications
Goodman, L. A. (1970) · Journal of the American Statistical Association · doi:10.1080/01621459.1970.10481076 · Cited by 746
Post-Stratification: A Modeler's Perspective
Little, R. J. A. (1993) · Journal of the American Statistical Association · doi:10.1080/01621459.1993.10476368 · Cited by 329
Metadata
- Authors
- IRELAND, C. T., & KULLBACK, S.
- Venue
- Biometrika
- Publisher
- Oxford University Press (OUP)
- Published
- 1968
- Volume
- 55
- Issue
- 1
- Pages
- 179-188
- ISSN
- 0006-3444 (ISSN-L)
- 1464-3510
- OpenAlex
- W2061408624
- Cited by
- 370
- References
- 1
- FWCI
- 11.70
- Type
- journal article
- Language
- en
- Open access
- closed
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