Partial linear regression models for clustered data

Journal of the American Statistical Association

Volumn 101, Issue 473, 2006, Pages 195-204

  Chen, Kani ^a   Jin, Zhezhen ^b  

^a HONG KONG UNIVERSITY OF SCIENCE AND TECHNOLOGY   (Hong Kong)

^b Columbia University ^*  (United States)

Author keywords

Asymptotic bias; Clustered data; Generalized partial linear regression model; Mean squared error; Nonparametric curve estimation; Piecewise local polynomial method

Indexed keywords

EID: 33645528268     PISSN: 01621459     EISSN: None     Source Type: Journal    
DOI: 10.1198/016214505000000592     Document Type: Article

References (15)

1. Atkinson, A. C. (1985), Plots, Transformations and Regression: An Introduction to Graphical Methods of Diagnostic Regression Analysis, Oxford, U.K.: Clarendon Press.
2. Carroll, R. J., Fan, J., Gijbels, I., and Wand, M. P. (1997), "Generalized Partially Linear Single-Index Models," Journal of the American Statistical Association, 92, 477-489.
3. Chen, H. (1988), "Convergence Rates for Parametric Components in a Partly Linear Model," The Annals of Statistics, 1, 136-146.
4. Chen, K., and Jin, Z. (2005), "Local Polynomial Regression Analysis of Clustered Data," Biometrika, 92, 54-79.
5. de la Peña, V., and Giné, E. (1999), Decoupling: From Dependence to Independence, New York: Springer-Verlag.
6. Fan, J., and Gijbels, I. (1996), Local Polynomial Modelling and Its Applications, London: Chapman & Hall.
7. Hastie, T., and Tibshirani, R. (1990), Generalized Additive Models, London: Chapman & Hall.
8. He, X., Zhu, Z., and Fung, W. K. (2002), "Estimation in a Semiparametric Model for Longitudinal Data With Unspecified Dependence Structure," Biometrika, 89, 579-590.
9. Lin, X., and Carroll, R. J. (2001a), "Semiparametric Regression for Clustered Data Using Generalized Estimating Equations," Journal of the American Statistical Association, 96, 1045-1056.
10. _ (2001b), "Semiparametric Regression for Clustered Data," Biometrika, 88, 1179-1185.
11. Severini, T. A., and Staniswalis, J. G. (1994), "Quasi-Likelihood Estimation in Semiparametric Models," Journal of the American Statistical Association, 89, 501-511.
12. Speckman, P. (1988), "Kernel Smoothing in Partial Linear Models," Journal of the Royal Statistical Society, Ser. B, 50, 413-436.
13. Wang, N. (2003), "Marginal Nonparametric Kernel Regression Accounting for Within-Subject Correlation," Biometrika, 90, 43-52.
14. Wang, N., Carroll, R. J., and Lin, X. (2005), "Efficient Semiparametric Marginal Estimation for Longitudinal/Clustered Data," Journal of the American Statistical Association, 100, 147-157.
15. Zhang, D., Lin, X., Raz, J., and Sower, M. F. (1998), "Semiparametric Stochastic Mixed Models for Longitudinal Data," Journal of the American Statistical Association, 93, 710-719.