The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
Global Cross-Ratio Models for Bivariate, Discrete, Ordered Responses
Abstract
A family of statistical models is presented for bivariate, discrete response to a regressor when both components of the response have ordered categories. Association between components is expressed in terms of global cross-ratios, cross-product ratios of quadrant probabilities, for each double dichotomy of the response table of probabilities into quadrants (Pearson and Heron, 1913, Biometrika 9, 159-315). These models are extensions to the work of Plackett (1965, Journal of the American Statistical Association 60, 516-522) and Mantel and Brown (1973, Biometrics 29, 649-665). The marginal cumulative probabilities may satisfy linear logistic or other generalized linear models (McCullagh, 1980, Journal of the Royal Statistical Society, Series B 42, 109-142). An analysis of patients' postoperative pain level and medication frequency illustrates these methods.
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Cites
David, F. N., & Tukey, J. W. (1977) · Biometrics · doi:10.2307/2529486 · Cited by 12,708
Linear Statistical Inference and its Applications: Second Editon
Rao, C. R. (1973) · Wiley Series in Probability and Statistics · doi:10.1002/9780470316436 · Cited by 10,489
Regression Models for Ordinal Data
McCullagh, P. (1980) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1980.tb01109.x · Cited by 4,453
Plackett, R. L., & Cox, D. R. (1971) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344247 · Cited by 2,264
Simple Models for the Analysis of Association in Cross-Classifications Having Ordered Categories
Goodman, L. A. (1979) · Journal of the American Statistical Association · doi:10.1080/01621459.1979.10481650 · Cited by 889
A Class of Bivariate Distributions
Plackett, R. L. (1965) · Journal of the American Statistical Association · doi:10.1080/01621459.1965.10480807 · Cited by 491
Families of Bivariate Distributions
Huzurbazar, V. S., & Mardia, K. V. (1973) · International Statistical Review / Revue Internationale de Statistique · doi:10.2307/1402797 · Cited by 350
Pearson, K., & Heron, D. (1913) · Biometrika · doi:10.1093/biomet/9.1-2.159 · Cited by 190
Composite Link Functions in Generalized Linear Models
Thompson, R., & Baker, R. J. (1981) · Applied Statistics · doi:10.2307/2346381 · Cited by 184
Computing in Statistical Science Through APL
Gunter, B., & Anscombe, F. J. (1985) · Technometrics · doi:10.2307/1268772 · Cited by 72
Cited by
Modelling multivariate binary data with alternating logistic regressions
CAREY, V., ZEGER, S. L., & DIGGLE, P. (1993) · Biometrika · doi:10.1093/biomet/80.3.517 · Cited by 514
Criteria for the Validation of Surrogate Endpoints in Randomized Experiments
Buyse, M., & Molenberghs, G. (1998) · Biometrics · doi:10.2307/2533853 · Cited by 425
Difference in Risk Factors for Postoperative Nausea and Vomiting
Stadler, M., Bardiau, F., Seidel, L., Albert, A., & Boogaerts, J. G. (2003) · Anesthesiology · doi:10.1097/00000542-200301000-00011 · Cited by 314
Heagerty, P. J., & Zeger, S. L. (2000) · Statistical Science · doi:10.1214/ss/1009212671 · Cited by 298
Estimating Intraclass Correlation for Binary Data
Ridout, M. S., Demétrio, C. G. B., & Firth, D. (1999) · Biometrics · doi:10.1111/j.0006-341x.1999.00137.x · Cited by 262
Metadata
- Authors
- Dale, J. R.
- Venue
- Biometrics
- Publisher
- JSTOR
- Published
- 1986-12
- Volume
- 42
- Issue
- 4
- Pages
- 909
- ISSN
- 0006-341X (ISSN-L)
- OpenAlex
- W2064644892
- Cited by
- 287
- References
- 12
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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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.
