Goodness-of-fit methods for generalized linear mixed models

Biometrics

Volumn 61, Issue 4, 2005, Pages 1000-1009

  Pan, Zhiying ^a   Lin, D Y ^a  

^a IL   (United States)

Author keywords

Linear mixed models; Longitudinal data; Model checking; Model misspecification; Random effects; Regression diagnostics; Repeated measures; Residual plots

Indexed keywords

DIAGNOSIS; INTELLIGENT SYSTEMS; MODEL CHECKING; MONTE CARLO METHODS; NUMERICAL METHODS; STOCHASTIC MODELS; STOCHASTIC SYSTEMS;

GENERALIZED LINEAR MIXED MODELS; GOODNESS OF FIT; LINEAR MIXED MODELS; LONGITUDINAL DATA; MODEL MISSPECIFICATION; MODELS CHECKING; RANDOM EFFECTS; REGRESSION DIAGNOSTICS; REPEATED MEASURES; RESIDUAL PLOT;

RANDOM PROCESSES;

BIOMETRY; GRAPHICAL METHOD; LINEARITY; MODEL VALIDATION; MONTE CARLO ANALYSIS; NUMERICAL MODEL;

ANALYSIS OF VARIANCE; ARTICLE; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; MEDICAL RESEARCH; MONTE CARLO METHOD; CD4 LYMPHOCYTE COUNT; COMPUTER SIMULATION; FEMALE; HUMAN; HUMAN IMMUNODEFICIENCY VIRUS INFECTION; IMMUNOLOGY; INDONESIA; MALE; METABOLISM; PRESCHOOL CHILD; RESPIRATORY TRACT INFECTION; STATISTICAL ANALYSIS; STATISTICAL MODEL;

ANTI HUMAN IMMUNODEFICIENCY VIRUS AGENT; RETINOL; ZIDOVUDINE;

ANTI-HIV AGENTS; CD4 LYMPHOCYTE COUNT; CHILD, PRESCHOOL; COMPUTER SIMULATION; DATA INTERPRETATION, STATISTICAL; FEMALE; HIV INFECTIONS; HUMANS; INDONESIA; LINEAR MODELS; MALE; MONTE CARLO METHOD; RESPIRATORY TRACT INFECTIONS; VITAMIN A; ZIDOVUDINE;

EID: 33644859249     PISSN: 0006341X     EISSN: 15410420     Source Type: Journal    
DOI: 10.1111/j.1541-0420.2005.00365.x     Document Type: Article

References (22)

1. Akaike H. ( 1974). A new look at the statistical model identification. IEEE Transactions on Automatic Control AC-19, 716 723.
2. Breslow N. E. and Clayton D. G. ( 1993). Approximate inference in generalized linear mixed models. Journal of the American Statistical Association 88, 9 25.
3. Cook D. R. and Weisberg S. ( 1994). An Introduction to Regression Graphics. New York : Wiley.
4. Dawson K. S. Gennings C., and Carter W. H. ( 1997). Two graphical techniques useful in detecting correlation structure in repeated measure data. American Statistician 51, 275 283.
5. Diggle P. J. ( 1988). An approach to the analysis of repeated measurements. Biometrics 40, 959 971.
6. Diggle P. J. Heagerty P. J. Liang K. Y., and Zeger S. L. ( 2002). Analysis of Longitudinal Data, 2nd edition. Oxford : Oxford University Press.
7. Fischl M. A. Richman D. D. Nansen N., et al 1990). The safety and efficacy of zidovudine (AZT) in the treatment of subjects with mildly symptomatic human immunodeficiency virus type 1 (HIV) infection. Annals of Internal Medicine 112, 727 737.
8. Heagerty P. J. and Kurland B. F. ( 2001). Misspecified maximum likelihood estimates and generalized linear mixed models. Biometrika 88, 973 985.
9. Laird N. M. and Ware J. H. ( 1982). Random-effects models for longitudinal data. Biometrics 38, 963 974.
10. Lange N. and Ryan L. ( 1989). Assessing normality in random effects models. Annals of Statistics 17, 624 642.
11. Lin D. Y. Wei L. J., and Ying Z. ( 1993). Checking the Cox model with cumulative sums of martingale-based residuals. Biometrika 80, 557 572.
12. Lin D. Y. Wei L. J., and Ying Z. ( 2002). Model-checking techniques based on cumulative residuals. Biometrics 58, 1 12.
13. McCullagh P. and Nelder J. A. ( 1989). Generalized Linear Models, 2nd edition. London : Chapman and Hall.
14. Pollard D. ( 1990). Empirical Processes: Theory and Applications. Hayward, California : Institute of Mathematical Statistics.
15. Schwartz G. ( 1978). Estimating the dimensions of a model. Annals of Statistics 6, 461 464.
16. Sommer A. Katz J., and Tarwotjo I. ( 1984). Increased risk of respiratory infection and diarrhea in children with pre-existing mild vitamin A deficiency. American Journal of Clinical Nutrition 40, 1090 1095.
17. Su J. Q. and Wei L. J. ( 1991). A lack-of-fit test for the mean function in a generalized linear model. Journal of the American Statistical Association 86, 420 426.
18. van der Vaart A. W. and Wellner J. A. ( 1996). Weak Convergence and Empirical Processes. New York : Springer-Verlag.
19. Vonesh E. F. Chinchilli V. M., and Pu K. ( 1996). Goodness-of-fit in generalized nonlinear mixed-effects models. Biometrics 52, 572 587.
20. Zeger S. L. and Karim M. R. ( 1991). Generalized linear models with random effects: A Gibbs sampling approach. Journal of the American Statistical Association 86, 79 86.
21. Zeger S. L. Liang K. Y., and Albert P. ( 1988). Models for longitudinal data: A generalized estimating equation approach. Biometrics 44, 1049 1060.
22. Zhang D. and Lin X. ( 2003). Hypothesis testing in semiparametric additive mixed models. Biostatistics 4, 57 74.