Pseudo R-squared measures for Poisson regression models with over- or underdispersion

Computational Statistics and Data Analysis

Volumn 44, Issue 1-2, 2003, Pages 253-271

  Heinzl, Harald ^a   Mittlböck, Martina ^a  

^a UNIVERSITY OF VIENNA   (Austria)

Author keywords

Adjusted R squared measure; Deviance residuals; Extra Poisson variation; Likelihood ratio; Overdispersion; Poisson regression; Quasi likelihood; Shrinkage; Underdispersion

Indexed keywords

COMPUTER SIMULATION; POISSON DISTRIBUTION; REGRESSION ANALYSIS;

BIAS ADJUSTMENTS;

DATA REDUCTION;

NUMERICAL METHOD; POISSON RATIO;

EID: 0141958552     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(03)00062-8     Document Type: Article

References (17)

1. 2 measures for count data regression models with applications to health-care utilization J. Bus. Econom. Statist. 14 1996 209-220
2. Copas J.B. Regression, prediction and shrinkage (with discussion) J. Roy. Statist. Soc. B 45 1983 311-354
3. Copas J.B. Cross-validation shrinkage of regression predictors J. Roy. Statist. Soc. B 49 1987 175-183
4. Copas J.B. Using regression models for prediction: shrinkage and regression to the mean Statist. Methods Med. Res. 6 1997 165-183
5. Cox D.R. Some remarks on overdispersion Biometrika 70 1983 269-274
6. Harrell F.E. Lee K.L. Mark D.B. Tutorial in biostatistics: multivariable prognostic models: issues in developing models, evaluating assumptions and adequacy, and measuring and reducing errors Statist. Med. 15 1996 361-387
7. Heinzl H. Mittlböck M. R-squared measures for the inverse Gaussian regression model Comput. Statist. 17 2002 525-544
8. McCullagh P. Nelder J.A. Generalized Linear Models 1989 Chapman - Hall Ltd London
9. 2 measures for Poisson regression models Comput. Methods Programs Biomed. 68 2002 205-214
10. 2 measures for Poisson and logistic regression models when both models are applicable J. Clin. Epidemiol. 54 2001 99-103
11. Mittlböck M. Heinzl H. Measures of explained variation in Gamma regression model Comm. Statist. Simulation Comput. 31 2002 61-73
12. 2-measures for Poisson regression models Comput. Statist. Data Anal. 34 2000 461-472
13. Myers R.H. Montgomery D.C. Vining G.G. Generalized Linear Models-with Applications in Engineering and the Sciences 2002 Wiley-Interscience New York
14. Paul S.R. Plackett R.L. Inference sensitivity for Poisson mixtures Biometrika 65 1978 591-602
15. Van Houwelingen J.C. Le Cessie S. Predictive value of statistical models Statist. Med. 9 1990 1303-1325
16. 2 measures for Poisson regression by simulation J. Epidemiol. Biostatist. 3 1998 209-215
17. 2-values based on deviance residuals in Poisson regression models Inform. Biometrie Epidemiol. Med. Biol. 32 2001 341-347