Modeling correlated healthcare costs

Expert Review of Pharmacoeconomics and Outcomes Research

Volumn 11, Issue 1, 2011, Pages 101-111

  Daggy, Joanne K ^a   Thomas, Joseph ^b,d   Craig, Bruce A ^c,d  

^a INDIANA UNIVERSITY   (United States)

^b PURDUE UNIVERSITY   (United States)

^c PURDUE UNIVERSITY   (United States)

^d PURDUE UNIVERSITY   (United States)

Author keywords

copulas; excess zeros; healthcare costs; heavy tailed distributions; two part models

Indexed keywords

BINOMIAL DISTRIBUTION; CHI SQUARE TEST; CLASSIFICATION ALGORITHM; COST BENEFIT ANALYSIS; COVARIANCE; CURVE FITTING; DEMENTIA; HEALTH CARE COST; HEALTH CARE UTILIZATION; HUMAN; MATHEMATICAL COMPUTING; MEDICAID; NORMAL DISTRIBUTION; NURSING HOME; POISSON DISTRIBUTION; PRESCRIPTION; PROBABILITY; REGRESSION ANALYSIS; REVIEW; STATISTICAL MODEL;

DECISION MAKING; HEALTH CARE COSTS; HEALTH POLICY; HUMANS; MODELS, ECONOMIC; MODELS, STATISTICAL;

EID: 79952174237     PISSN: 14737167     EISSN: 17448379     Source Type: Journal    
DOI: 10.1586/erp.10.92     Document Type: Review

References (33)

1. Manning WG, Mullahy J. Estimating log models: to transform or not to transform? J. Health Econ. 20, 461-494 (2001). (Pubitemid 32515166)
2. Duan N, Manning WG, Morris CN, Newhouse JP. A comparison of alternative models for the demand for medical care. J. Bus. Econ. Stat. 1, 115-126 (1983).
3. Baser O. Modeling transformed health care cost with unknown heteroskedasticity. Appl. Econ. Res. Bull. 1, 1-6 (2007).
4. Welsh AH, Zhou XH. Estimating the retransformed mean in a heteroscedastic two-part model. J. Stat. Plan. Inference 136(3), 860-881 (2006). (Pubitemid 41683354)
5. Manning WG, Basu A, Mullahy J. Generalized modeling approaches to risk adjustment of skewed outcomes data. J. Health Econ. 24(3), 465-488 (2005). (Pubitemid 40461909)
6. Basu A, Rathouz PJ. Estimating marginal and incremental effects on health outcomes using flexible link and variance function models. Biostatistics 6(1), 93-109 (2005). (Pubitemid 41240372)
7. Zhou XH, Lin H, Johnson E. Non-parametric heteroscedastic transformation regression models for skewed data with an application to health care costs. J. R. Stat. Soc. Series B Stat. Methodol. 70(5), 1029-1047 (2009).
8. Lipscomb J, Ancukiewicz M, Parmigiani G et al. Predicting the cost of illness: a comparison of alternative models applied to stroke. Med. Decis. Making 18, S39-S56 (1998). (Pubitemid 28175942)
9. Jain A, Strawderman R. Flexible hazard regression modeling for medical cost data. Biostatistics 3, 101-118 (2000).
10. Basu A, Manning WG, Mullahy J. Comparing alternative models: log vs Cox proportional hazard? Health Econ. 13, 749-765 (2004). (Pubitemid 39136901)
11. Lambert D. Zero-inflated Poisson regression, with an application to defects in manufacturing. Technometrics 34(1), 1-14 (1992).
12. Manning WG. The logged dependent variable, heteroscedasticity, and the retransformation problem. J. Health Econ. 17(3), 283-295 (1998). (Pubitemid 28300217)
13. Manning WG, Morris CN, Newhouse JP. A two-part model of the demand for medical care: preliminary results from the Health Insurance Study. In: Health, Economics, and Health Economics. van der Gaag J, Perlman M (Eds). North-Holland Publishing Company, Amsterdam, The Netherlands, 103-123 (1981).
14. Grunwald GK, Jones RH. Markov models for time series with mixed distribution. Environmetrics 11(3), 327-339 (2000). (Pubitemid 30343233)
15. Tooze JA, Grunwald GK, Jones RH. Analysis of repeated measures data with clumping at zero. Stat. Methods Med. Res. 11(4), 341-355 (2002).
16. Moulton LH, Curriero FC, Barroso PF. Mixture models for quantitative HIV RNA data. Stat. Methods Med. Res. 11(4), 317-325 (2002).
17. Hall DB, Zhang Z. Marginal models for zero inflated clustered data. Stat. Model. 4, 161-180 (2004).
18. Olsen MK, Schafer JL. A two-part random-effects model for semicontinuous longitudinal data. J. Am. Stat. Assoc. 96, 730-745 (2001).
19. Albert PS, Shen J. Modelling longitudinal semicontinuous emesis volume data with serial correlation in an acupuncture clinical trial. J. R. Stat. Soc. Ser. C Appl. Stat. 54(4), 707-720 (2005). (Pubitemid 41328331)
20. Liu L, Strawderman RL, Cowen ME, Shih YC. A flexible two-part random effects model for correlated medical costs. J. Health Econ. 29(1), 110-123 (2010).
21. Liu L, Conaway MR, Knaus WA, Bergin JD. A random effects four-part model, with application to correlated medical costs. Comput. Stat. Data Analysis 52, 4458-4473 (2008).
22. Wang P. A bivariate zero-inflated negative binomial regression model for count data with excess zeros. Econ. Lett. 78(3), 373-378 (2003). (Pubitemid 36136300)
23. Gurmu S, Elder J. A bivariate zero-inflated count data regression model with unrestricted correlation. Econ. Lett. 100(2), 245-248 (2008).
24. Pitt M, Chan D, Kohn R. Efficient Bayesian inference for Gaussian copula regression models. Biometrika 93(3), 537-554 (2006). (Pubitemid 44599849)
25. Zimmer DM, Trivedi PK. Using trivariate copulas to model sample selection and treatment effects: application to family health care demand. J. Bus. Econ. Stat. 24, 63-76 (2006).
26. Sun J, Frees EW, Rosenberg MA. Heavy-tailed longitudinal data modeling using copulas. Insur. Math. Econ. 42(2), 817-830 (2008).
27. Frees EW, Sun Y. Household life insurance demand - a multivariate two-part model. NAAJ 14(3), 338-354 (2010).
28. Sklar A. Fonctions de répartition à n dimensions et leurs marges. Publ. Institut. Statist. Univ. Paris 8, 229-231 (1959).
29. Genest C, MacKay J. The joy of copulas: bivariate distributions with uniform marginals. Am. Stat. 40, 280-283 (1986).
30. Nelson RB. An Introduction to Copulas. Springer, NY, USA (2006).
31. Joe H, Xu J. The estimation method of inference functions for margins for multivariate models. In: Technical Report 166. Department of Statistics, University of British Columbia, BC, Canada (1996).
32. Joe H. Asymptotic efficiency of the two-stage estimation method for copula-based models. J. Multivar. Anal. 94, 401-419 (2005).
33. Mullahy JP. Econometric modeling of health care costs and expenditures: a survey of analytical issues and related policy considerations. Med. Care 47(7 Suppl. 1), S104-S108 (2009).