Influence diagnostics and outlier tests for semiparametric mixed models

Journal of the Royal Statistical Society. Series B: Statistical Methodology

Volumn 64, Issue 3, 2002, Pages 565-579

  Fung, Wing Kam ^a   Zhu, Zhong Yi ^a   Wei, Bo Cheng ^a   He, Xuming ^a  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

Author keywords

Cook's distance; Longitudinal data; Penalized likelihood; Repeated measure; Semiparametric regression; Smoothing spline

Indexed keywords

EID: 0036427523     PISSN: 13697412     EISSN: None     Source Type: Journal    
DOI: 10.1111/1467-9868.00351     Document Type: Article

References (29)

1. Banerjee, M. and Frees, E.W. (1997) Influence diagnostics for linear longitudinal models. J. Am. Statist. Ass., 92, 999-1005.
2. Beckman, R.J., Nachtsheim, C.J. and Cook, R.D. (1987) Diagnostics for mixed-models analysis of variance. Technometrics, 29, 413-426.
3. Belsley, D.A., Kuh, E. and Welsh, R.E. (1980) Regression Diagnostics. New York: Wiley.
4. Carmody, T.J. (1988) Diagnostics for multivariate smoothing splines. J. Statist. Planng Inf., 19, 171-186.
5. Christensen, R., Pearson, L. and Johnson, W. (1992) Case-deletion diagnostics for mixed models. Technometrics, 34, 38-45.
6. Cook, R.D. (1977) Detection of influential observations in linear regression. Technometrics, 19, 15-18.
7. Cook, R.D. and Weisberg, S. (1982) Residuals and Influence in Regression. New York: Chapman and Hall.
8. Davison, A.C. and Tsai, C.-L. (1992) Regression model diagnostics. Int. Statist. Rev., 60, 337-353.
9. Eubank, R.L. (1984) The hat matrix for smoothing splines. Statist. Probab. Lett., 2, 9-14.
10. _(1985) Diagnostics for smoothing splines. J. R. Statist. Soc. B, 47, 332-341.
11. Eubank, R.L. and Gunst, R.F. (1986) Diagnostics for penalized least-squares estimators. Statist. Probab. Lett., 4, 265-272.
12. Green, P.J. (1987) Penalized likelihood for general semiparametric regression models. Int. Statist. Rev., 55, 245-260.
13. Green, P.J. and Silverman, B.W. (1994) Nonparametric Regression and Generalized Linear Models. London: Chapman and Hall.
14. He, X. and Shi, P.D. (1996) Bivariate tensor-product B-splines in a partly linear model. J. Multiv. Anal., 58, 162-181.
15. Heckman, N.E. (1986) Spline smoothing in a partly linear model. J. R. Statist. Soc. B, 48, 244-248.
16. Kim, C. (1996) Cook's distance in spline smoothing. Statist. Probab. Lett., 31, 139-144.
17. Lesaffre, E. and Verbeke, G. (1998) Local influence in linear mixed models. Biometrics, 54, 570-582.
18. Li, Q. and Stengos, T. (1996) Semiparametric estimation of partially linear panel data models. J. Econometr., 71, 389-397.
19. Preisser, J.S. and Qaqish, B.F. (1996) Deletion diagnostics for generalized estimating equations. Biometrika, 83, 551-562.
20. Rousseeuw, P.J. and Leroy, A.M. (1987) Robust Regression and Outlier Detection. New York: Wiley.
21. Silverman, B.W. (1985) Some aspects of the spline smoothing approach to non-parametric regression curve fitting (with discussion). J. R. Statist. Soc. B, 47, 1-52.
22. Sowers, M.F., Crutchfield, M., Randolph, J.F., Shapiro, B., Zhang, B., Pietra, M.L. and Schork, M.A. (1998) Urinary ovarian and gonadotrophin hormone levels in premenopausal women with low bone mass. J. Bone Min. Res., 13, 1191-1202.
23. Speckman, P. (1988) Kernel smoothing in partial linear models. J. R. Statist. Soc. B, 50, 413-436.
24. Thomas, W. (1991) Influence diagnostics for the cross-validated smoothing parameter in spline smoothing. J. Am. Statist. Ass., 86, 693-698.
25. Thomas, W. and Cook, R.D. (1989) Assessing influence on regression coefficients in generalized linear models. Biometrika, 76, 741-749.
26. Wahba, G. (1985) A comparison of GCV and GML for choosing the smoothing parameter in the generalized spline smoothing problem. Ann. Statist., 13, 1378-1402.
27. Wei, B.C. (1998) Exponential Family Nonlinear Models. Singapore: Springer.
28. Williams, D.A. (1987) Generalized linear model diagnostics using the deviance and single case deletions. Appl. Statist., 36, 181-191.
29. Zhang, D., Lin, X., Raz, J. and Sower, M.F. (1998) Semiparametric stochastic mixed models for longitudinal data. J. Am. Statist. Ass., 93, 710-719.