Regression models for mixed discrete and continuous responses with potentially missing values

Biometrics

Volumn 53, Issue 1, 1997, Pages 110-122

  Fitzmaurice, Garrett M ^a   Laird, Nan M ^b  

^a NUFFIELD COLLEGE   (United Kingdom)

^b HARVARD SCHOOL OF PUBLIC HEALTH   (United States)

Author keywords

EM algorithm; Location model; Marginal model; Missing data

Indexed keywords

MAXIMUM LIKELIHOOD ESTIMATION; MULTIVARIANT ANALYSIS; PARAMETER ESTIMATION; REGRESSION ANALYSIS; STATISTICS;

COVARIATES; EM ALGORITHMS; LOCATION MODELING; MARGINAL MODELS; MISSING DATA; MISSING RESPONSE; MISSING VALUES; MULTI VARIATE ANALYSIS; REGRESSION MODELLING; SEPARATE ANALYSIS;

STATISTICAL TESTS;

ALGORITHM; ARTICLE; MULTIVARIATE ANALYSIS; REGRESSION ANALYSIS; STATISTICAL ANALYSIS; STATISTICAL MODEL;

EID: 0030898909     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533101     Document Type: Article

References (22)

1. Cox, D. R. (1961). Tests of separate families of hypotheses. Proceedings of the 4th Berkeley Symposium on Mathematics, Probability and Statistics, Volume 1, 105-123. Berkeley: University of California Press.
2. Cox, D. R. (1972). The analysis of multivariate binary data. Applied Statistics 21, 113-20.
3. Cox, D. R. and Reid, N. (1987). Parameter orthogonality and approximate conditional inference (with discussion). Journal of the Royal Statistical Society, Series B 49, 1-39.
4. Cox, D. R. and Wermuth, N. (1992). Response models for mixed binary and quantitative variables. Biometrika 79, 441-461.
5. Dempster, A. P., Laird, N. M., and Rubin, D. B. (1977). Maximum likelihood estimation from incomplete data via the EM algorithm (with discussion). Journal of the Royal Statistical Society, Series B 39, 1-38.
6. Fitzmaurice, G. M. and Laird, N. M. (1993). A likelihood-based method for analyzing longitudinal binary responses. Biometrika 80, 141-151.
7. Fitzmaurice, G. M. and Laird, N. M. (1995). Regression models for a bivariate discrete and continuous outcome with clustering. Journal of the American Statistical Association 90, 845-852.
8. Glonek, G. F. V and McCullagh, P. (1995). Multivariate logistic regression. Journal of the Royal Statistical Society, Series B 57, 533-546.
9. Gold, D. R., Rotnitzky, A., Damakosh, A. I., Ware, J. H., Speizer, F. E., Ferris, B. G., and Dockery, D. W. (1993). Race and gender differences in respiratory illness prevalence and their relationship to environmental exposure in children 7 to 14 years of age. American Review of Respiratory Diseases 148, 10-18.
10. Huber, P. J. (1967). The behavior of maximum likelihood estimates under nonstandard conditions. Proceedings of the 5th Berkeley Symposium on Mathematical Statistics and Probability, Volume 1, 221-233. Berkeley: University of California Press.
11. Krzanowski, W. J. (1993). The location model for mixtures of categorical and continuous variables. Journal of Classification 10, 25-49.
12. Laird, N. M. (1988). Missing data in longitudinal studies. Statistics in Medicine 7, 305-315.
13. Little, R. J. A. and Rubin, D. B. (1987). Statistical Analysis with Missing Data. New York: John Wiley.
14. Little, R. J. A. and Schluchter, M. D. (1985). Maximum likelihood estimation for mixed continuous and categorical data with missing values. Biometrika 72, 497-512.
15. Olkin, I. and Tate, R. F. (1961). Multivariate correlation models with mixed discrete and continuous variables. Annals of Mathematical Statistics 32, 448-465.
16. Quenouille, M. (1949). Approximate tests of correlation in time series. Journal of the Royal Statistical Society, Series B 11, 18-44.
17. Royall, R. M. (1986). Model robust confidence intervals using maximum likelihood estimators. International Statistical Review 54, 221-226.
18. Rubin, D. B. (1976). Inference and missing data. Biometrika 63, 581-592.
19. Tukey, J. W. (1958). Bias and confidence in not quite large samples. Annals of Mathematical Statistics 29, 614.
20. Wang, X., Wypij, D., Gold, D. R., Speizer, F. E., Ware, J. H., Ferris, B. G., and Dockery, D. W. (1994). A longitudinal study of the effects of parental smoking on pulmonary function in children 6-18 years. American Journal of Respiratory and Critical Care Medicine 149, 1420-1425.
21. Zellner, A. (1962). An efficient method of estimating seemingly unrelated regressions and tests for aggregation bias. Journal of the American Statistical Association 57, 348-368.
22. Zhao, L. P., Prentice, R. L., and Self, S. G. (1992). Multivariate mean parameter estimation by using a partly exponential model. Journal of the Royal Statistical Society, Series B 54, 805-811.