The DOI matches its Crossref record; 22 of the 22 references it cites were found in a registry or an index.
Exact logistic regression: Theory and examples
Abstract
We provide an alternative to the maximum likelihood method for making inferences about the parameters of the logistic regression model. The method is based appropriate permutational distributions of sufficient statistics. It is useful for analysing small or unbalanced binary data with covariates. It also applies to small‐sample clustered binary data. We illustrate the method by analysing several biomedical data sets.
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Cites
Nonparametric Statistics for the Behavioral Sciences
Guitton, H., & Siegel, S. (1958) · Revue économique · doi:10.2307/3498751 · Cited by 35,245
McCullagh, P., & Nelder, J. A. (1989) · doi:10.1007/978-1-4899-3242-6 · Cited by 16,836
Longitudinal Data Analysis for Discrete and Continuous Outcomes
Zeger, S. L., & Liang, K.-Y. (1986) · Biometrics · doi:10.2307/2531248 · Cited by 7,764
Cox, D. R., & Hinkley, D. V. (1974) · doi:10.1007/978-1-4899-2887-0 · Cited by 3,089
Busch, H. (1969) · The American Journal of the Medical Sciences · doi:10.1097/00000441-196906000-00015 · Cited by 1,205
Constrained Monte Carlo Maximum Likelihood for Dependent Data
Geyer, C. J., & Thompson, E. A. (1992) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1992.tb01443.x · Cited by 874
Algebraic algorithms for sampling from conditional distributions
Diaconis, P., & Sturmfels, B. (1998) · The Annals of Statistics · doi:10.1214/aos/1030563990 · Cited by 616
Computing Distributions for Exact Logistic Regression
Hirji, K. F., Mehta, C. R., & Patel, N. R. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478547 · Cited by 311
Self-citationConditional Inference and Models for Measuring.
Williams, E. J., & Anderson, E. B. (1974) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344962 · Cited by 240
Likelihood calculations for matched case-control studies and survival studies with tied death times
GAIL, M. H., LUBIN, J. H., & RUBINSTEIN, L. V. (1981) · Biometrika · doi:10.1093/biomet/68.3.703 · Cited by 209
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A solution to the problem of separation in logistic regression
Heinze, G., & Schemper, M. (2002) · Statistics in Medicine · doi:10.1002/sim.1047 · Cited by 2,711
Li, B., & Leal, S. M. (2008) · The American Journal of Human Genetics · doi:10.1016/j.ajhg.2008.06.024 · Cited by 1,527
Fu, R., Gartlehner, G., Grant, M., Shamliyan, T., Sedrakyan, A., Wilt, T. J., Griffith, L., Oremus, M., Raina, P., Ismaila, A., et al. (2011) · Journal of Clinical Epidemiology · doi:10.1016/j.jclinepi.2010.08.010 · Cited by 730
Relationship Between Cesarean Delivery Rate and Maternal and Neonatal Mortality
Molina, G., Weiser, T. G., Lipsitz, S. R., Esquivel, M. M., Uribe-Leitz, T., Azad, T., Shah, N., Semrau, K., Berry, W. R., Gawande, A. A., et al. (2015) · JAMA · doi:10.1001/jama.2015.15553 · Cited by 616
Heinze, G. (2006) · Statistics in Medicine · doi:10.1002/sim.2687 · Cited by 379
Metadata
- Authors
- Mehta, C. R., & Patel, N. R.
- Venue
- Statistics in Medicine
- Publisher
- Wiley
- Published
- 1995-10-15
- Volume
- 14
- Issue
- 19
- Pages
- 2143-2160
- ISSN
- 0277-6715 (ISSN-L)
- 1097-0258
- OpenAlex
- W2012133585
- Cited by
- 481
- References
- 22
- FWCI
- 8.68
- 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.