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Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative
Open accessAbstract
We define and investigate classes of statistical models for the analysis of associations between variables, some of which are qualitative and some quantitative. In the cases where only one kind of variables is present, the models are well-known models for either contingency tables or covariance structures. We characterize the subclass of decomposable models where the statistical theory is especially simple. All models can be represented by a graph with one vertex for each variable. The vertices are possibly connected with arrows or lines corresponding to directional or symmetric associations being present. Pairs of vertices that are not connected are conditionally independent given some of the remaining variables according to specific rules.
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Citations
Cites
Statistics and Causal Inference
Holland, P. W. (1986) · Journal of the American Statistical Association · doi:10.1080/01621459.1986.10478354 · Cited by 5,293
Cited by
Using Bayesian Networks to Analyze Expression Data
Friedman, N., Linial, M., Nachman, I., & Pe'er, D. (2000) · Journal of Computational Biology · doi:10.1089/106652700750050961 · Cited by 3,266
Bayesian Graphical Models for Discrete Data
Madigan, D., York, J., & Allard, D. (1995) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1403615 · Cited by 1,090
Bayesian Artificial Intelligence
Korb, K. B., & Nicholson, A. E. (2003) · Chapman & Hall/CRC eBooks · doi:10.1201/9780203491294 · Cited by 1,014
The EM algorithm for graphical association models with missing data
Lauritzen, S. L. (1995) · Computational Statistics & Data Analysis · doi:10.1016/0167-9473(93)e0056-a · Cited by 760
Self-citationBayesian networks in environmental modelling
Aguilera, P. A., Fernández, A., Fernández, R., Rumí, R., & Salmerón, A. (2011) · Environmental Modelling & Software · doi:10.1016/j.envsoft.2011.06.004 · Cited by 666
Metadata
- Authors
- Lauritzen, S. L., & Wermuth, N.
- Venue
- The Annals of Statistics
- Publisher
- Institute of Mathematical Statistics
- Published
- 1989-03-01
- Volume
- 17
- Issue
- 1
- ISSN
- 0090-5364 (ISSN-L)
- OpenAlex
- W2038374320
- Cited by
- 672
- References
- 1
- FWCI
- 11.59
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Lauritzen, S. L., & Wermuth, N. (1989). Graphical Models for Associations between Variables, some of which are Qualitative and some Quantitative. The Annals of Statistics. https://doi.org/10.1214/aos/1176347003
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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.
