Careful use of pseudoR-squared measures in epidemiological studies

作者: Harald Heinzl , Thomas Waldhör , Martina Mittlböck

DOI: 10.1002/SIM.2168

关键词:

摘要: Many epidemiological research problems deal with large numbers of exposed subjects whom only a small number actually suffers the adverse event interest. Such rare events data can be analysed by employing an approximate Poisson model. The objective this study is to challenge interpretability corresponding pseudo R-squared measure. It will lack sensible interpretation whenever outcome generated counting within covariate patterns formed cross-tabulating categorical covariates. failure caused immanent arbitrariness in definition patterns, that is, independent Bernoulli events, B(1,pi), are arbitrarily combined into binomially distributed ones, B(n,pi), which then approximated

参考文章(12)
P. J. Cheek, P. McCullagh, J. A. Nelder, Generalized Linear Models, 2nd Edn. Applied Statistics. ,vol. 39, pp. 385- 386 ,(1990) , 10.2307/2347392
Waldhoer T, Haidinger G, Langgassner J, Tuomilehto J, The effect of maternal age and birth weight on the temporal trend in stillbirth rate in Austria during 1984-1993. Wiener Klinische Wochenschrift. ,vol. 108, pp. 643- 648 ,(1996)
Martina Mittlböck, Michael Schemper, Computing measures of explained variation for logistic regression models. Computer Methods and Programs in Biomedicine. ,vol. 58, pp. 17- 24 ,(1998) , 10.1016/S0169-2607(98)00061-3
A. Colin Cameron, Frank A. G. Windmeijer, R-Squared Measures for Count Data Regression Models With Applications to Health-Care Utilization Journal of Business & Economic Statistics. ,vol. 14, pp. 209- 220 ,(1996) , 10.1080/07350015.1996.10524648
David E. Hapeman, Categorical Data Analysis Technometrics. ,vol. 33, pp. 241- 241 ,(1991) , 10.1080/00401706.1991.10484817
MARTINA MITTLBÖCK, MICHAEL SCHEMPER, EXPLAINED VARIATION FOR LOGISTIC REGRESSION Statistics in Medicine. ,vol. 15, pp. 1987- 1997 ,(1996) , 10.1002/(SICI)1097-0258(19961015)15:19<1987::AID-SIM318>3.0.CO;2-9
Martina Mittlböck, Harald Heinzl, A note on R2 measures for Poisson and logistic regression models when both models are applicable. Journal of Clinical Epidemiology. ,vol. 54, pp. 99- 103 ,(2001) , 10.1016/S0895-4356(00)00292-4
Harald Heinzl, Martina Mittlböck, Pseudo R-squared measures for Poisson regression models with over- or underdispersion Computational Statistics & Data Analysis. ,vol. 44, pp. 253- 271 ,(2003) , 10.1016/S0167-9473(03)00062-8
Sander Greenland, Ecologic versus individual-level sources of bias in ecologic estimates of contextual health effects International Journal of Epidemiology. ,vol. 30, pp. 1343- 1350 ,(2001) , 10.1093/IJE/30.6.1343
M. Mittlböck, T. Waldhör, Adjustments for R 2 -measures for Poisson regression models Computational Statistics & Data Analysis. ,vol. 34, pp. 461- 472 ,(2000) , 10.1016/S0167-9473(99)00113-9