A comparison between bootstrap methods and generalized estimating equations for correlated outcomes in generalized linear models

Communications in Statistics Part B: Simulation and Computation

Volumn 26, Issue 3, 1997, Pages 901-925

  Sherman, Michael ^a   Cessie, Saskia le ^a  

^a LEIDEN UNIVERSITY   (Netherlands)

Author keywords

Correlated data; Logistic regression; Resampling

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; DIAGNOSIS; ESTIMATION; MATHEMATICAL MODELS; MEDICAL APPLICATIONS; REGRESSION ANALYSIS; SAMPLING;

BOOTSTRAP METHODS; CORRELATED DATA; GENERALIZED LINEAR MODEL; LOGISTIC REGRESSION; MEASLES; PROTERM INFANTS;

CORRELATION METHODS;

EID: 0031338077     PISSN: 03610918     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610919708813417     Document Type: Article

References (24)

1. Bose, A. (1988). "Edgeworth Correction By Bootstrap in Autoregression" Annals of Statistics, 16, 1709-1722.
2. Breslow, N.E. and Clayton, D.G. (1993). "Approximate Inference in Generalized Linear Mixed Models" Journal of the American Statistical Association 88, 9-25.
3. Connolly, M.A. and Liang, K.Y. (1988). "Conditional Logistic Regression Models for Correlated Binary Data" Biometrika 75, 501-506.
4. Diggle, P.J., Liang, K.-Y. and Zeger, S.L. (1994). Analysis of Longitudinal Data, Oxford: Oxford University Press.
5. Efron, B. (1987). "Better Bootstrap Confidence Intervals" Journal of the American Statistical Association 82, 171-185.
6. Efron, B. and Tibshiraui, R. (1993). Introduction to the Bootstrap, New York: Chapman and Hall.
7. Freedman, D.A. (1981). "Bootstrapping Regression Models" Annals of Statistics 9, 1218-1228.
8. Freedman, D.A. (1984). "On Bootstrapping Two-stage Least Squares Estimates in Stationary Linear Models" Annals of Statistics 12, 827-842.
9. Hall, P. (1992). The Bootstrap and Edgeworth Expansion. New York: Springer-Verlag.
10. Karim, M.R. and Zeger, S.L. (1988). "GEE a SAS Macro for Longitudinal Data Analysis" Technical report #674, Department of Biostatistics, John Hopkins University.
11. Künsch, H. (1989). "The Jackknife and the Bootstrap for General Stationary Observations" Annals of Statistics 17, 1217-1241.
12. le Cessie, S. and van Houwelingen, J.C. (1994). "Logistic Regression for Correlated Binary Data" Applied Statistics (JRSS-C) 43, 95-108.
13. Liang, K.-Y. and Zeger, S.L. (1986). "Longitudinal Data Analysis Using Generalized Linear Models" Biometrika 73, 13-22.
14. Liang, K.-Y., Zeger, S.L. and Qaqish, B. (1992). "Multivariate Regression Analysis for Categorical Data" Journal of the Royal Statistical Society (with discussion) B 54, 3-40.
15. Lipsitz, S.R., Laird, N.M. and Harrington, D.P. (1990). "Maximum Likelihood Regression Methods for Paired Binary Data" Statistics in Medicine 9, 1517-1525.
16. McCullagh, P. and Neider, J.A. (1989). Generalized Linear Models, London: Chapman and Hall.
17. Moulton, L.H. and Zeger, S. (1989). "Analyzing Repeated Measures on Generalized Linear Models via the Bootstrap" Biometrics 45, 381-394.
18. Pearson, K. (1900). "Mathematical Contribution to the Theory of Evolution VII. On the Correlation of Characters not Quantitatively Measurable" Philosophical Transactions of the Royal Society of London A, 195, 1-47.
19. Prentice, R.L. (1988). "Correlated Binary Regression with Covariates Specific to each Binary Observation" Biometrics 44, 1033-1048.
20. Royall, R.M. (1986). "Model Robust Confidence Intervals Using Maximum Likelihood Estimators" International Statistical Review 54, 221-226.
21. Schenker, N. (1985). "Qualms About Bootstrap Confidence Intervals" Journal of the American Statistical Association 80, 360-361.
22. Thall, P.F. and Vail, S.C. (1990) "Some Covariance Models for Longitudinal Count Data with Overdispersion" Biometrics 46, 657-671.
23. Verloove, S.P. and Verwey, R.Y. (1988). Project on Preterm and Small-for-gestational Age Infants in the Netherlands, 1983 (Thesis, University of Leiden). University Microfilms International, Ann Arbor, Michigan, USA, no 8807276.
24. Zeger, S.L., Liang, K.Y. and Albert, P.S. (1988). "Models for Longitudinal Data : a Generalized Estimation Equation Approach" Biometrics 44, 1049-1060.