Empirical evaluation of statistical models for counts or rates

作者: Robert A. Wolfe , Gina R. Petroni , Catherine G. McLaughlin , Laurence F. McMahon

DOI: 10.1002/SIM.4780100908

关键词: EconometricsDeviance (statistics)Poisson distributionMathematicsStatisticsPoisson regressionResidualAnalysis of varianceStatistical modelRegressionOutlier

摘要: We consider methods for selecting the joint specification of mean and variance functions in statistical models rates or counts. Based on analyses diagnosis-specific hospital discharge Michigan, we show that a Poisson model with an extra component systematic variation is superior to several other probability regard error structure. Further, deviance residual appears Pearson residual. The proper such crucial many types analyses, as identification outliers regression designed explain variation.

参考文章(19)
N. E. Breslow, Extra‐Poisson Variation in Log‐Linear Models Applied statistics. ,vol. 33, pp. 38- 44 ,(1984) , 10.2307/2347661
P Wilson, P Tedeschi, Community correlates of hospital use. Health Services Research. ,vol. 19, pp. 333- 355 ,(1984)
R. B. Fetter, J. L. Freeman, Y. Shin, R. F. Averill, J. D. Thompson, Case mix definition by diagnosis-related groups. Medical Care. ,vol. 18, pp. 1- 53 ,(1980)
Bischak Dp, Wilson Pa, Griffith, Wolfe Ra, Clinical profiles of hospital discharge rates in local communities. Health Services Research. ,vol. 20, pp. 131- 151 ,(1985)
Bruce J. Collings, Barry H. Margolin, Testing Goodness of Fit for the Poisson Assumption When Observations are Not Identically Distributed Journal of the American Statistical Association. ,vol. 80, pp. 411- 418 ,(1985) , 10.1080/01621459.1985.10478132
J. F. Lawless, Regression Methods for Poisson Process Data Journal of the American Statistical Association. ,vol. 82, pp. 808- 815 ,(1987) , 10.1080/01621459.1987.10478502
Laurence F. McMahon, Robert A. Wolfe, Philip J. Tedeschi, Variation in hospital admissions among small areas. A comparison of Maine and Michigan. Medical Care. ,vol. 27, pp. 623- 631 ,(1989) , 10.1097/00005650-198906000-00005
Sherman Folland, Miron Stano, Small Area Variations: A Critical Review of Propositions, Methods, and Evidence Medical Care Review. ,vol. 47, pp. 419- 465 ,(1990) , 10.1177/107755879004700403
John E. Wennberg, Small Area Variations in Health Care Delivery Science. ,vol. 182, pp. 1102- 1108 ,(1973) , 10.1126/SCIENCE.182.4117.1102