Cook's distance for generalized linear mixed models

Computational Statistics and Data Analysis

Volumn 82, Issue , 2015, Pages 126-136

  Pinho, Luis Gustavo B ^a   Nobre, Juvêncio S ^a   Singer, Julio M ^b  

^a FEDERAL UNIVERSITY OF CEARÁ   (Brazil)

^b UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Diagnostics; GLMM; Influence; Leverage

Indexed keywords

INTELLIGENT SYSTEMS; PLASMA DIAGNOSTICS; RANDOM PROCESSES; STATISTICAL METHODS;

CONDITIONAL INFLUENCES; CONDITIONAL MEANS; EFFICIENT COMPUTATION; FIRST-ORDER APPROXIMATIONS; GENERALIZED LINEAR MIXED MODELS; GLMM; INFLUENCE; LEVERAGE;

MONTE CARLO METHODS;

EID: 84907900560     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2014.08.008     Document Type: Article

References (34)

1. A.A. Abad, S. Litière, and G. Molenberghs Testing for misspecification in generalized linear mixed models Biostatistics 11 4 2010 771 786
2. A.C. Atkinson Masking unmasked Biometrika 73 3 1986 533 541
3. M. Banerjee, and E.W. Frees Influence diagnostics for linear longitudinal models J. Amer. Statist. Assoc. 92 439 1997 999 1005
4. R.J. Beckman, C.J. Nachtsheim, and R.D. Cook Diagnostics for mixed-model analysis of variance Technometrics 29 4 1987 413 426
5. D.A. Belsley, E. Kuh, and R.E. Welsch Regression Diagnostics: Identifying Influential Data and Sources of Collinearity 1980 Wiley-Interscience
6. N.E. Breslow Extra-Poisson variation in log-linear models J. R. Stat. Soc. Ser. C 38 1 1984 38 44
7. N.E. Breslow, and D.G. Clayton Approximate inference in generalized linear mixed models J. Amer. Statist. Assoc. 88 421 1993 9 25
8. G. Casella, and R.L. Berger Statistical Inference second ed. 2001 Duxbury Press
9. S. Chattejee, and A.S. Hadi Influential observations, high leverage points, and outliers in linear regression Statist. Sci. 1 3 1986 379 393
10. R. Christensen, L.M. Pearson, and W. Johnson Case-deletion diagnostics for mixed models Technometrics 34 1 1992 38 45
11. R.D. Cook Detection of influential observation in linear regression Technometrics 19 1 1977 15 18
12. R.D. Cook, and S. Weisberg Residuals and Influence in Regression 1982 Chapman & Hall
13. P.d. de Jong, and G.Z. Heller Generalized Linear Models for Insurance Data 2008 Cambridge University Press
14. E. Demidenko Mixed Models: Theory and Applications first ed. 2004 Wiley-Interscience
15. E. Demidenko, and T.A. Stukel Influence analysis for linear mixed-effects models Stat. Med. 24 6 2005 893 909
16. F.N. Gumedze, S.J. Welham, B.J. Gogel, and R. Thompson A variance shift model for detection of outliers in the linear mixed model Stat. Med. 54 9 2010 2128 2144
17. J.A. Hilden-Minton Multilevel diagnostics for mixed and hierarchical linear models (Ph.D. in Mathematics) 1995 University of California Los Angeles
18. D.C. Hoaglin, and R.E. Welsch The hat matrix in regression and anova Amer. Statist. 32 1 1978 17 22
19. A.J. Lawrance Deletion influence and masking in regression J. R. Stat. Soc. Ser. B 57 1 1995 181 189
20. Y. Lee, and J.A. Nelder Hierarchical generalized linear models J. R. Stat. Soc. Ser. B Stat. Methodol. 58 4 1996 619 678
21. E. Lesaffre, and G. Verbeke Local influence in linear mixed models Biometrics 54 2 1998 570 582
22. C. McCulloch, and S.R. Searle Generalized, Linear, and Mixed Models first ed. 2001 Wiley-Interscience
23. C.A. McGilchrist Estimation in generalized linear mixed models J. R. Stat. Soc. Ser. B Stat. Methodol. 56 1 1994 61 69
24. J.S. Nobre, and J.d.M. Singer Residual analysis for linear mixed models Biom. J. 49 6 2007 863 875
25. J. Nobre, and J. Singer Leverage analysis for linear mixed models J. Appl. Stat. 38 5 2011 1063 1072
26. D. Pregibon Logistic regression diagnostics Ann. Statist. 9 4 1981 705 724
27. D.M. Stasinopoulos, and R. Rigby Generalized additive models for location scale and shape (GAMLSS) J. Stat. Softw. 23 7 2007 1 46
28. F.E.S. Tan, M.J.N. Ouwens, and M.P.F. Berger Detection of influential observations in longitudinal mixed effects regression models J. R. Stat. Soc. Ser. D Stat. 50 3 2001 271 284
29. E.J. Tchetgen, and B.A. Coull A diagnostic test for the mixing distribution in a generalised linear mixed model Biometrika 93 4 2006 1003 1010
30. L. Xiang, S. Tse, and A.H. Lee Influence diagnostics for generalized linear mixed models: applications to clustered data Comput. Statist. Data Anal. 40 4 2002 759 774
31. S.L. Zeger, and M.R. Karim Generalized linear models with random effects; a Gibbs sampling approach J. Amer. Statist. Assoc. 86 413 1991 79 86
32. S.L. Zeger, K. Liang, and P.S. Albert Models for longitudinal data: a generalized estimating equation approach Biometrics 44 4 1988 1049 1060
33. Y. Zhao General design Bayesian generalized linear mixed models Statist. Sci. 21 1 2006 35 51
34. H. Zhu, and S. Lee Local influence for generalized linear mixed models Canad. J. Statist. 31 3 2003 293 309