Generalized linear models for beta correlated binary longitudinal data

Communications in Statistics - Theory and Methods

Volumn 26, Issue 3, 1997, Pages 617-635

  Sutradhar, Brajendra C ^a   Das, Kalyan ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b UNIVERSITY OF CALCUTTA   (India)

Author keywords

Consistent estimates; Index for overcorrelation; Intra cluster correlation; Pseudo weight matrix; Repeated multivariate responses

Indexed keywords

ESTIMATION; MATHEMATICAL MODELS; MATRIX ALGEBRA; PROBABILITY;

INTRACLUSTER CORRELATION; PSEUDO WEIGHT MATRIX; REPEATED MULTIVARIATE RESPONSES;

CORRELATION METHODS;

EID: 0031084237     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929708831938     Document Type: Article

References (17)

1. Abramowitz, M. and Stegun, I. A. (Eds). (1965), Handbook of Mathematical Functions. New York: Dover.
2. Cochran, W. G. (1977). Sampling Techniques. John Wiley and Sons: New York.
3. Haseman, J. K. and Kupper, L. J. (1979), "Analysis of Dichotomous Response Data From Certain Toxicological Experiments," Biometrics, 35, 281-293.
4. Kupper, L. J., and Haseman, J. K. (1978), "The Use of a Correlated Binomial Model for the Analysis of Certain Toxicological Experiments," Biometrics 34, 69-76.
5. Liang, K.-Y., and Zeger, S. L. (1986), "Longitudinal Data Analysis Using Generalized Linear Models," Biometrika 73, 13-22.
6. Liang, K.-Y., and Zeger, S. L. (1989), "A Class of Logistic Regression Models for Multivariate Binary Time Series," Journal of the American Statistical Association 84, 447-451.
7. Liang, K.-Y, Zeger, S. L. and Qaqish, B. (1992), "Multivariate regression analysis for categorical data." J. Roy. Statist. Soc., Series B, 54, 3-40.
8. Paul, S. R. (1985), "A Three-parameter Generalization of the Binomial Distribution," Communications in Statistics - Theory and Methods 14, 1497-1506.
9. Prentice, R. L. (1986), "Binary Regression Using an Extended Beta-binomial Distribution, With Discussion of Correlation Induced by Covariate Measurement Errors," Journal of the American Statistical Association 394, 321-327.
10. Prentice, R. L. (1988), "Correlated Binary Regression With Covariates Specific to Each Binary Observation," Biometrics 44, 1033-1048.
11. Prentice, R. L., and Zhao, L. P. (1991). "Estimating Equations for Parameters in Means and Covariances of Multivariate Discrete and Continuous Responses," Biometrica, 47, 825-839.
12. Qaqish, B., Liang, K.-Y. (1992). "Marginal Models for Correlated Binary Responses with Multiple Classes and Multiple Levels of Nesting," Biometrics, 48, 939-950.
13. Quenouille, M. H. (1958), "The Comparison of Correlations in Time Series," Journal of Royal Statistical Society B, 20, 158-168.
14. Singh, A. C., and Sutradhar, B. C. (1989), "Testing Proportions for Markov Dependent Bernoulli Trials," Biometnka, 76, 809-813.
15. Siotani, M., Hayakawa, T., and Fujikoshi, U. (1985), Modern Multivariate Analysis: A Graduate Course and Handbook. American Sciences Press, Inc., Columbus, Ohio.
16. Sutradhar, B. C., and Rao, R. P. (1996). "On Joint Estimation of Regression and Overdispersion Parameters in Generalized Linear Models for Longitudinal Data," Journal of Multivariate Analysis, 56, 90-119.
17. Zhao, L. P., and Prentice, R. L. (1990). "Correlated Binary Regression Using a Quadratic Exponential Model," Biometrika, 77, 642-648.