Generalized additive models for longitudinal data

Canadian Journal of Statistics

Volumn 26, Issue 4, 1998, Pages 517-535

  Berhane, Kiros ^a   Tibshirani, Robert J ^a  

^a NONE

Author keywords

Correlated data; Generalized estimating equation; Nonparametric regression; Quasilikelihood; Smoothing

Indexed keywords

EID: 0032216913     PISSN: 03195724     EISSN: None     Source Type: Journal    
DOI: 10.2307/3315715     Document Type: Article

References (29)

1. Altman, N.S. (1990). Kernel smoothing of data with correlated errors. J. Amer. Statist. Assoc., 85, 749-759.
2. Berhane, K. (1994). Nonparametric regression models for longitudinal data, Unpublished Ph.D. Thesis, University of Toronto.
3. Buja, A., Hastie, T., and Tibshirani, R. (1989). Linear smoothers and additive models. (With discussion.) Ann. Statist., 17, 453-555.
4. Chambers, J.M., and Hastie, T.J. (eds.) (1992). Statistical Models in S. Wadsworth, Pacific Grove, Calif.
5. Diggle, P.J., and Hutchinson, M.F. (1989). On spline smoothing with autocorrelated errors. Austral. J. Statist., 31(1), 166-182.
6. Golub, G.H., and Van Loan, C.F. (1983). Matrix Computations, Johns Hopkins Univ. Press, Baltimore.
7. Green, P.J., and Silverman, B.W. (1994). Nonparametric Regression and Generalized Linear Models: A Roughness Penalty Approach. Chapman and Hall, London.
8. Hart, J.D. (1991). Kernel regression estimation with time series errors. (With discussion.) J. Roy. Statist. Soc. Ser. B, 53, 173-189.
9. Hart, J.D., and Wehrly, T.E. (1986). Kernel regression estimation using repeated measurement data. J. Amer. Statist. Assoc., 81, 1080-1088.
10. Hastie, T.J. (1989). Discussion to "Flexible and Parsimonious Smoothing and Additive Modeling" by J.H. Freidman and B.W. Silverman. Technometrics, 31(1), 23-29.
11. Hastie, T.J., and Tibshirani, R.J. (1986). Generalized additive models. (With discussion.) Statist. Sci., 1, 297-318.
12. Hastie, T.J., and Tibshirani, R.J. (1990). Generalized Additive Models. Chapman and Hall, London.
13. Hurvich, M.H., and Zeger, S.L. (1990). A frequency domain selection criterion for regression with autocorrelated errors. J. Amer. Statist. Assoc., 85, 705-714.
14. Lee, A.J. (1993). Generating random binary deviates having fixed marginal distributions and specified degrees of association. Amer. Statist., 47, 209-215.
15. Liang, K.Y., and Zeger, S.L. (1986). Longitudinal data analysis using generalized linear models. Biometrika, 73, 13-22.
16. Liang, K.Y., Zeger, S.L., and Qaqish, B. (1992). Multivariate regression analysis for categorical data. (With discussion.) J. Roy. Statist. Soc. Ser. B, 54, 3-40.
17. McCullagh, P. (1983). Quasi-likelihood functions. Ann. Statist., 11, 59-67.
18. McCullagh, P., and Nelder, J.A. (1989). Generalized Linear Models. Chapman and Hall, London.
19. Nelder, J.A., and Wedderburn, R.W.M. (1972). Generalized linear models. J. Roy. Statist. Soc. Ser. A, 135, 370-384.
20. Ortega, J.M., and Reinboldt, W.C. (1970). Iterative Solution of Nonlinear Equations in Several Variables. Academic Press, New York.
21. Rao, J.N.K., and Scott, A.J. (1981). The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness-of-fit and independence in two-way tables. J. Amer. Statist. Assoc., 76, 221-230.
22. Rotnitzky, A., and Jewell, N.P. (1990). Hypothesis testing of regression parameters in semiparametric generalized linear models for cluster correlated data. Biometrika, 77, 485-497.
23. Royall, R.M. (1986). Model robust confidence intervals using maximum likelihood estimators. Internal. Statist. Rev., 54(2), 221-226.
24. Severini, T.A., and Staniswalis, J.G. (1994). Quasi-likelihood estimation in semiparametric models. J. Amer. Statist. Assoc., 89, 501-511.
25. Wedderburn, R.W.M. (1974). Quasi-likelihood functions, generalized linear models and the Gauss-Newton method. Biometrika, 61, 439-447.
26. Wild, C.J., and Yee, T.W. (1996). Additive extensions to generalized estimating equation methods. J. Roy. Statist. Soc. Ser. B, 58, 711-725.
27. Yee, T.W., and Wild. C.J. (1996). Vector generalized additive models. J. Roy. Statist. Soc. Ser. B, 58, 481-493.
28. Zeger, S.L., and Liang K.Y. (1986). Longitudinal data analysis for discrete and continuous outcomes. Biometrics, 42, 121-130.
29. Zhao, L.P., and Prentice, R.L. (1990). Correlated binary regression using a quadratic exponential model. Biometrika, 77, 642-648.