REFERENCES Aiken, L.H. Clarke, SP. Cheung, RB. Sloane, D.M. and Silber, J.H., 2003. Educational levels of hospital nurses and surgical patient mortality. JAMA, 290, pp.1617-1623. Aiken, LH. Clarke, SP. Sloane, DM. Sochalski, J. and Silber, J.H., 2002. Hospital nurse staffing and patient mortality, nurse burnout, and job dissatisfaction.” JAMA, 288, pp.1987-1993. Aiken, LH. Clarke, SP. Sloane, DM. Sochalski, JA. Busse, R. Clarke, H. Giovannetti, P. Hunt, J. Rafferty, AM. and Shamian, J., 2001. Nurses' reports on hospital care in five countries. Health Affairs, 20, pp.43-53. Aiken, LH. Sochalski, J. and Anderson, GF., 1996. Downsizing the hospital nursing workforce. Health Affairs, 15, pp.88-92. Akkoyunlu, S. Lichtenberg, F. Siliverstoves, B. and Zweifel, P., 2010. Spurious correlation in estimation of the health production: a note. Economic Bulletin, 30, pp. 2505-2514. Auster, R. Levenson, I. and Sarachek, D., 1969. The production of health, an exploratory study. Journal of Human Resources, 4, pp.411-36. Baltagi, BH. Moscone, F. and Tosetti, E., 2012. Medical technology and the production of health care. Empirical Economics, 42, pp.395-411. Bayati, M. Akbarian, R. and Kavosi, Z., 2013. Determinants of life expactancy in eastern Mediterranean region: a health production function. International Journal of Health Policy and Management, 1(1), pp. 57-61. Bhat, C., 2001. Quasi-random maximum simulated likelihood estimation of the mixed multinomial logit model. Transportation Research, 35B, pp.667-693. Brown, TT. Martinez-Gutierrez, MS. and Navab, B., 2014. The impact of changes in county public health expenditures on general health in the population. Health Economics, Policy and Law, 9(3), pp. 251-269. Buerhaus, PI. Staiger, DO. and Auerbach, DI., 2000. Implications of an aging registered nurse workforce. JAMA, 283, pp.2948-2954. Buerhaus, PI. Needleman, J. Mattke, S. and Stewart, M. 2002. Strengthening hospital nursing. Health Affairs, 21, pp.123-132. Cameron, C. and Trivedi, P. 2005. Microeconometrics: methods and application. New York: Cambridge University Press. Carey, K. Bugress, JF. and Young, GJ., 2015. Economies of scale and scope: the case of specialty hospitals. Contemporary Economic Policy, 33(1), 104-117. Castelli, A. Street, A. Verzulli, R. and Ward, P., 2015. Examining various in hospital productivity in the English NHS. European Journal of Health Economics, 16, pp. 243-254. Coffman, JM. Seago, JA. and Spetz, J., 2002. Minimum nurse-to-patient ratios in acute care hospitals in California. Health Affairs, 21, pp.53-64. Department of Health., 2010. The statistical annual report of medical care institution’s status and hospital’s utilization. Executive Yuan, Department of Health, Taiwan. Diggle, P. Heagerty, P. Liang, KY. and Zeger, S., 2002. Analysis of longitudinal data. Oxford: Oxford University Press. Gaynor, M. Town, RJ., 2012. Competition in health care markets. In: Pauly, MV. McGuire, TG. and Barros, PP. (eds.) Handbook of Health Economics, Vol 2, pp. 449-637, Elsevier, Oxford. Greene, W., 2012. Limdep 10.0 Econometric Modeling Guide Vol.2. New York: Econometric Software, Inc.,. Grossman, M., 1972. On the concept of health capital and the demand for health. Journal of Political Economy, 80(2), pp. 223-255. Halicioglu, F., 2011. Modelling life expectancy in Turkey. Economic Modelling, 28, pp. 2075-2082. Hall, D., 2000. Zero-inflated Poisson and binomial regression with random effects: a case study. Biometrics, 56, pp.1030-1039. Heijnk, R. Koolman, X. and Westert, GP., 2013. Spending more money, saving more lives? The relationship between avoidable mortality and healthcare spending in 14 countries. European Journal of Health Economis, 14, pp. 527-538. Heinz, D., 2004. Hospital nurse staffing and patient outcomes: a review of current literature. Dimensions of Critical Care Nursing, 23, pp.44-50. Institute of Medicine., 2004. Keeping Patients Safe: transforming the work environment of nurses. National Academy Press, Washington DC. Jaba, E. Balan, CB. and Robu, IB., 2014. The relationship between life expectancy at birth and health expenditures estimated by a cross-country and time- series. Procedia Economics and Finance, 15, pp. 108-114. Kazanjian, A. Green,C. Wong, J. and Reid, R., 2005. Effect of the hospital nursing environment on patient mortality: a systematic review. Journal of Health Services Research & Policy, 10, pp.111-117. Lee, J. McCullough, JS. and Town, RJ., 2013. The impact of health information technology on hospital productivity. Rand Journal of Economics, 44(3), pp.545-568. Liang, YW. Chen, WY. Lee, JL. and Huang, L.C., 2012. Nurse staffing, direct nursing care hours and patient mortality in Taiwan: the longitudinal analysis of hospital nurse staffing and patient outcome study. BMC Health Services Research, 12, 44. doi:10.1186/1472-6963-12-44. Liang, YW. Tsai, SF. and Chen, WY., 2012. A longitudinal study of the effects of nurse staffing on patient outcomes for Taiwan acute care hospital. Journal of Nursing Research, 20(1), pp.1-7. Lopez-Casasnovas, G. Soley-Bori, M., 2014. The socioeconomic determinants of health: economic growthand health in the OECD countries during the last three decades. International Journal of Environmental Research and Public Health, 11, pp. 815-829. Lordan, G. Soto,EJ. Brown, RPC. and Correa-valez, I., 2012. Socioeconomic status and health outcomes in a developing country. Health Economics, 20, pp. 178-186. Mark, BA. Harless, DW. and McCue, M., 2005. The impact of HMO penetration on the relationship between nurse staffing and quality. Health Economics, 14, pp.737-753. Mark, BA. Harless, DW. and Spetz, J., 2009. California's minimum-nurse-staffing legislation and nurses' wages. Health Affairs, 28, pp.w326-w334. Mateus, C. Joaquim, I. and Nunes, C. 2015. Measuring hospital efficiency-comparing four European countries. European Journal of Public Health, 25(S1), pp. 52-58. Ministry of Interior., 2015. Statistical yearbook of interior. Taipei: Executive Yuan, Ministry of Interior, Taiwan. Molenbergh, G. and Verbeke, G., 2007. Models for discrete longitudinal data. New York: Springer-Verlag. National Development Council., 2014. Population projections for R.O.C. (Taiwan): 2014~2060. Taipei: Executive Yuan, National Development Council, Taiwan. Person, SD. Allison, JJ. Kiefe, CI. Weaver, MT. Williams, OD. Centor, RM. and Weissman, NW., 2004. Nurse staffing and mortality for Medicare patients with acute myocardial infarction. Medical Care, 42, pp.4-12. Pourmohammadi, K. Hatam, N. Bastani, P. and Lotfi, F., 2014. Estimating production: a tool for hospital resource management. Shiraz E-Medical Journal, 15(4), e23068. Schoder, J. Zweifel, P. 2011. Flat-of-the-curve medicine: a new perspective on the production of health. Health Economics Review, 1:2. doi:10.1186/2191-1991-1-2 Sun, CC. Lin, PF. Kao, CC. Change, TY. and Shaw, F. L., 2005. National survey of clinical nurses in Taiwan. Department of Health, Executive Yuan, Taiwan. Van den Heede, K. Diya, L. Lesaffre, E. Vleugels, A. and Sermeus, W., 2008. Benchmarking nursing staffing levels: the development of a nationwide feedback tool. Journal of Advanced Nursing, 63, pp.607-618. Van den Heede, K. Sermeus, W. Diya, L. Lesaffre, E. and Vleugels, AK., 2006. Adverse outcomes in Belgian acute hospitals: retrospective analysis of the national hospital discharge dataset. International Journal for Quality in Health Care, 18, pp.211-219. Verbeke, G. and Molenbergh, G., 2000. Linear Mixed Models for Longitudinal Data. New York:Springer-Verlag. Vuong, Q.H., 1989. Likelihood ratio tests for model selection and non-nested hypotheses. Econometrica, 57, pp.307-333. Warwick, WB. Frank, AS., 1998. Transferred patients-more complex and more costly? The Medical Journal of Australia, 169, pp.S42-S43. Winkelmann, R., 2000. Econometric analysis of count data. New York: Springer-Verlag