Goodness-of-fit tests for logistic regression models when data are collected using a complex sampling design

Computational Statistics and Data Analysis

Volumn 51, Issue 9, 2007, Pages 4450-4464

  Archer, Kellie J ^a   Lemeshow, Stanley ^b   Hosmer, David W ^c  

^a VIRGINIA COMMONWEALTH UNIVERSITY   (United States)

^b Department of Computational Medicine and Bioinformatics School of Public Health   (United States)

^c UNIVERSITY OF MASSACHUSETTS   (United States)

Author keywords

Design based estimation; Goodness of fit; Logistic regression; Survey sampling

Indexed keywords

DATA REDUCTION; EPIDEMIOLOGY; MATHEMATICAL MODELS; PARAMETER ESTIMATION; PROBLEM SOLVING;

DESIGN BASED ESTIMATION; GOODNESS-OF-FIT; LOGISTIC REGRESSION; SURVEY SAMPLING;

REGRESSION ANALYSIS;

EID: 34147115663     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2006.07.006     Document Type: Article

References (25)

1. Archer K.J., and Lemeshow S. Goodness-of-fit test for a logistic regression model estimated using survey sample data. The Stata J. 6 1 (2006) 97-105
2. Azzalini A., Bowman A.W., and Härdle W. On the use of nonparametric regression for model checking. Biometrika 76 1 (1989) 1-11
3. Brown C.C. On a goodness-of-fit test for the logistic model based on score statistics. Comm. Statist. Theory Meth. 11 10 (1982) 1087-1105
4. Cox D.R. Two further applications of a model for binary responses. Biometrika 45 (1958) 562-565
5. Graubard B.I., Korn E.L., and Midthune D. Testing goodness-of-fit for logistic regression with survey data. Proceedings of the Section on Survey Research Methods (1997), American Statistical Association
6. Horton N.J., et al. Goodness-of-fit for GEE: an example with mental health service utilization. Statist. Medicine 18 (1999) 213-222
7. Hosmer D.W., and Lemeshow S. Goodness-of-fit tests for the multiple logistic regression model. Comm. Statist. Theory Meth. A A9 10 (1980) 1043-1069
8. Hosmer D.W., and Lemeshow S. Applied Logistic Regression (2000), Wiley, New York
9. Hosmer D.W., et al. A comparison of goodness-of-fit tests for the logistic regression model. Statist. Medicine 16 (1997) 965-980
10. Korn E.L., and Graubard B.I. Surveys: accounting for the sampling design. Amer. J. Public Health 81 9 (1991) 1166-1173
11. Korn E.L., and Graubard B.I. Analysis of large health surveys: accounting for the sampling design. J. Roy. Statist. Soc. A 158 (1995) 263-295
12. Korn E.L., and Graubard B.I. Analysis of Health Surveys (1999), Wiley, New York
13. le Cessie S., and van Houwelingen J.C. A goodness-of-fit test for binary regression models, based on smoothing methods. Biometrics 47 (1991) 1267-1282
14. le Cessie S., and van Houwelingen H.C. Testing the fit of a regression model via score tests in random effects models. Biometrics 51 (1995) 600-614
15. Lemeshow S., et al. Illustration of analysis taking into account complex survey considerations: the association between wine consumption and dementia in the PAQUID study: personnes ages quid. Amer. J. Epidemiology 148 (1998) 298-306
16. Levy, P.S., Lemeshow, S., 1999. Variance estimation in complex sample surveys. In: Sampling of Populations: Methods and Applications. Wiley, New York, pp. 365-390.
17. National Center for Health Statistics, 1999. National Health Interview Survey: Research for the 1995-2004 redesign. vol. Series 2. Vital and Health Statistics, Hyattsville, MD.
18. Osius G., and Rojek D. Normal goodness-of-fit tests for multinomial models with large degrees of freedom. J. Amer. Statist. Assoc. 87 420 (1992) 1145-1152
19. Pigeon J.G., and Heyse J.F. An improved goodness-of-fit statistic for probability prediction models. Biometrical J. 41 1 (1999) 71-82
20. Pigeon J.G., and Heyse J.F. A cautionary note about assessing the fit of logistic regression models. J. Appl. Statist. 26 7 (1999) 847-853
21. In: Skinner C.J., Holt D., and Smith T.M.F. (Eds). Analysis of Complex Surveys (1989), Wiley, New York
22. StataCorp, 2005. Stata Statistical Software: Release 9. College Station, TX.
23. Su J.Q., and Wei L.J. A lack-of-fit test for the mean function in a generalized linear model. J. Amer. Statist. Assoc. 86 414 (1991) 420-426
24. Thomas D.R., and Rao J.N.K. Small-sample comparisons of level and power for simple goodness-of-fit statistics under cluster sampling. J. Amer. Statist. Assoc. 82 398 (1987) 630-636
25. Tsiatis A.A. A note on a goodness-of-fit test for the logistic regression model. Biometrika 67 1 (1980) 250-251