Generating correlated binary variables with complete specification of the joint distribution

Biometrical Journal

Volumn 43, Issue 3, 2001, Pages 263-269

  Kang, Seung Ho ^a   Jung, Sin Ho ^b  

^a Ewha Womans University   (South Korea)

^b INDIANA UNIVERSITY SCHOOL OF MEDICINE   (United States)

Author keywords

Dependence; Exchangeable binary data; Generalized estimating equations; Ophthalmology; Toxicology

Indexed keywords

INTELLIGENT SYSTEMS; SAMPLING;

ASYMPTOTIC THEORIES; BINARY DATA; BINARY VARIABLES; DEPENDENCE; EXCHANGEABLE BINARY DATA; GENERALIZED ESTIMATING EQUATIONS; JOINT DISTRIBUTIONS; MONTE CARLO'S SIMULATION; SIMULATION STUDIES; TOXICOLOGY;

MONTE CARLO METHODS;

EID: 0040431231     PISSN: 03233847     EISSN: None     Source Type: Journal    
DOI: 10.1002/1521-4036(200106)43:3<263::AID-BIMJ263>3.0.CO;2-5     Document Type: Article

References (17)

1. BAHADUR, R. R., 1961: A Representation of the Joint Distribution of Responses to n Dichotomous Items, In Studies in Item Analysis and Prediction. Stanford Mathematical Studies in the Social Sciences VI, Ed. H. Solomon, 158-68, Stanford CA: Stanford University Press.
2. BOWMAN, D. and GEORGE, E. O., 1995: A Saturated Model for Analyzing Exchangeable Binary Data: Applications to Clinical and Developmental Toxicity Studies, Journal of the American Statistical Association 90, 871-879.
3. BRIER, S., 1980: Analysis of Contingency Tables under Cluster Sampling, Biometrika 67, 591-596.
4. DALLAL, G., 1988: Paired Bernoulli Trials, Biometrics 44, 253-257.
5. DONNER, A., 1989: Statistical Methods in Ophthalmology: An Adjusted Chi-Square Approach, Biometrics 45, 605-611.
6. EMRICH, L. J. and PIEDMONRE, M. R., 1991: A Method for Generating High-Dimensional Multivariate Binary Variables, The American Statistician 45, 302-304.
7. GANGE, S. J., 1995: Generating Multivariate Categorical Variates Using the Iterative Proportional Fitting Algorithm, The American Statistician 49, 134-138.
8. GEORGE, E. O. and BOWMAN, D., 1995: A Full Likelihood Procedure for Analyzing Exchangeable Binary Data, Biometrics 51, 512-523.
9. GEORGE, E. O. and KODELL, R. L., 1996: Tests of Independence, Treatment Heterogeneity, and Dose-Related Trend with Exchangeable Binary Data, Journal of the American Statistical Association 91, 1602-1611.
10. KANG, S. H. and PARK, S. M., 2000: Exact Likelihood Ratio Test of Independence of Binary Responses within Clusters, Computational Statistics and Data Analysis 33(1), 15-23.
11. KUPPER, L. L. and HASEMAN, J. K., 1978: The Use of a Correlated Binomial Model for the Analysis of Certain Toxicological Experiments, Biometrics 34, 69-76.
12. LIPSITZ, S. R., LAIRD, N. M., and HARRINGTON, D. P., 1991: Generalized Estimating Equations for Correlated Binary Data, Biometrics 78, 153-160.
13. LEE, A.J., 1993: Generating Random Binary Deviates Having Fixed Marginal Distributions and Specified Degrees of Association, The American Statistician 47, 209-215.
14. LUNN, A.D. and DAVIES, S. J., 1998: A Note on Generating Correlated Binary Variables, Biometrika 85, 487-490.
15. PARK, C. G., PARK, T., and SHIN, D.W., 1996: A Simple Method for Generating Correlated Binary Variates, The American Statistician 50, 306-310.
16. ROSNER, B., 1982: Statistical Methods in Ophthalmology: An Adjustment for the Intraclass Correlation between Eyes, Biometrics 38, 105-114.
17. WILLIAMS, D. A., 1975: The Analysis of Binary Responses from Toxicological Experiments Involving Reproduction and Teratogenicity, Biometrics 31, 949-952.