Model checks for generalized linear models

Scandinavian Journal of Statistics

Volumn 29, Issue 3, 2002, Pages 535-545

  Stute, Winfried ^a   Zhu, Li Xing ^b  

^a JUSTUS LIEBIG UNIVERSITY   (Germany)

^b UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

Generalized linear model; Goodness of fit; Innovation approach; Residual cusum process; Spherically contoured inputs

Indexed keywords

EID: 0035995081     PISSN: 03036898     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9469.00304     Document Type: Article

References (20)

1. Aranda-Ordaz, F.S. (1981). On two families of transformation to additivity for binary response data. Biometrika 68, 357-363.
2. Cheng, K.F. & Wu, J.W. (1994). Testing goodness of fit for a parametric family of link functions. J. Amer. Statist. Assoc. 89, 657-664.
3. Fahrmeir, L. & Tutz, G. (1994). Multivariate statistical modelling based on generalized linear models. Springer Verlag, New York.
4. Fang, K.-T., Kotz, S. & Ng, K.W. (1990). Symmetric multivariate and related distributions. Chapman & Hall, London.
5. Fienberg, S.E. & Gong, G.D. (1984). Comment on "Graphical methods for assessing logistic regression models" by J.M. Landwehr, D. Pregibon and A.C. Shoemaker. J. Amer. Statist. Assoc. 79, 72-77.
6. Härdle, W. & Mammen, E. (1993). Comparing nonparametric versus parametric regression fits. Ann. Statist. 21, 1926-1947.
7. Härdle, W. & Stoker, T.M. (1989). Investigating smooth multiple regression by the method of average derivatives. J. Amer. Statist. Assoc. 84, 986-995.
8. Khmaladze, E.V. (1981). Martingale approach in the theory of goodness-of-fit tests. Theory Probab. Appl. 26, 240-257.
9. Landwehr, J.M., Pregibon, D. & Shoemaker, A.C. (1984). Graphical methods for assessing logistic regression models (with discussion). J. Amer. Statist. Assoc. 79, 61-83.
10. McCullagh, P. & Nelder, J.A. (1989). Generalized linear models, 2nd edn. Chapman & Hall, London.
11. Nikabadze, A. & Stute, W. (1997). Model checks under random censorship. Statist. Probab. Lett. 32, 249-259.
12. Pregibon, D. (1980). Goodness of link test for generalized linear models. Appl. Statist. 29, 15-23.
13. Prentice, R.L. (1976). A generalization of the probit and logit methods for dose-response curves. Biometrics 32, 761-768.
14. Stute, W. (1997). Nonparametric model checks for regression. Ann. Statist. 25, 613-641.
15. Stute, W., González-Manteiga, W. & Presedo Quindimil, M. (1998a). Bootstrap approximations in model checks for regression. J. Amer. Statist. Assoc. 93, 141-149.
16. Stute, W., Thies, S. & Zhu L.X. (1998b). Model checks for regression: an innovation process approach. Ann. Statist. 26, 1916-1934.
17. Su, J.Q. & Wei, L.T. (1991). A lack-of-fit test for the mean function in a generalized linear model. J. Amer. Statist. Assoc. 86, 420-426.
18. Tsiatis, A.A. (1980). A note on a goodness-of-fit test for the logistic regression without replication. Biometrika 67, 250-251.
19. Van Der Vaart, A.W. & Wellner, J.A. (1996). Weak convergence and empirical processes, with applications to statistics. Springer Verlag, New York.
20. Wu, C.F.J. (1986). Jackknife, bootstrap and other resampling methods in regression analysis. Ann. Statist. 14, 1261-1295.