The DOI matches its Crossref record; 5 of the 5 references it cites were found in a registry or an index.
Marginal models for categorical data
Open accessAbstract
Statistical models defined by imposing restrictions on marginal distributions of contingency tables have received considerable attention recently. This paper introduces a general definition of marginal log-linear parameters and describes conditions for a marginal log-linear parameter to be a smooth parameterization of the distribution and to be variation independent. Statistical models defined by imposing affine restrictions on the marginal log-linear parameters are investigated. These models generalize ordinary log-linear and multivariate logistic models. Sufficient conditions for a log-affine marginal model to be nonempty and to be a curved exponential family are given. Standard large-sample theory is shown to apply to maximum likelihood estimation of log-affine marginal models for a variety of sampling procedures.
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Cites
McCullagh, P., & Nelder, J. A. (1989) · doi:10.1007/978-1-4899-3242-6 · Cited by 16,836
Note on the Sampling Error of the Difference Between Correlated Proportions or Percentages
McNemar, Q. (1947) · Psychometrika · doi:10.1007/bf02295996 · Cited by 4,754
Lauritzen, S. L. (1996) · doi:10.1093/oso/9780198522195.001.0001 · Cited by 2,976
Quasi-likelihood functions, generalized linear models, and the Gauss—Newton method
WEDDERBURN, R. W. M. (1974) · Biometrika · doi:10.1093/biomet/61.3.439 · Cited by 2,122
$I$-Divergence Geometry of Probability Distributions and Minimization Problems
Csiszar, I. (1975) · The Annals of Probability · doi:10.1214/aop/1176996454 · Cited by 1,645
Cited by
Generalized Linear Models and Extensions
Kateri, M. (2014) · Contingency Table Analysis · doi:10.1007/978-0-8176-4811-4_5 · Cited by 506
The analysis of ordered categorical data: An overview and a survey of recent developments
Liu, I., & Agresti, A. (2005) · Test · doi:10.1007/bf02595397 · Cited by 301
Metadata
- Authors
- Bergsma, W. P., & Rudas, T.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 2002-02-01
- Volume
- 30
- Issue
- 1
- Pages
- 140-159
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2099874950
- Cited by
- 181
- References
- 5
- FWCI
- 6.84
- Type
- journal article
- Language
- en
- Open access
- bronze
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
