Abstract
In this article, we estimate accelerated time-to-failure and proportional-hazard functions with about 100,000 members of the Dorn sample, finding greater hazards associated with smoking and some dependence on occupational variables that measure risk and physical activity. We answer three questions: (1) How sensitive are the estimates to sample length, using monthly data for the periods 1954–1969 and 1954–1980? The results differ somewhat between these sample periods. (2) How sensitive are the estimates to alternative functions for the hazard? Within a given time period, the estimates are fairly robust to specification changes in the distribution of the hazard in the accelerated time-to-failure models. (3) How sensitive are the estimates to alternative controls for unobserved frailty? Within a given sample period, the estimates are fairly robust to the allowance for parametric or nonparametric heterogeneity in the proportional-hazard models.
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Anderson, K., & Burkhauser, R. (1985). “The Retirement Health Nexus: A New Measure of an Old Puzzle.” Journal of Human Resources, 20, 315–333.
Beebe, G., & Simon, A. (1969). “Ascertainment of Mortality in the U.S. Veteran Population. American Journal of Epidemiology, 89, 636–643.
Behrman, J. R., Hrubec, Z., Taubman, P., & Wales, T. J. (1980). Socioeconomic Success: A Study of the Effects of Genetic Endowments, Family Environment and Schooling. Amsterdam: North-Holland.
Bchrman, J. R., Sickles, R., & Taubman, P. (1988). “Age Specific Death Rates.” In Issues in Contemporary Retirement, eds. E. Lazear & R. Ricardo-Campbell. Stanford, CA: Hoover Institution Press, pp. 162–190.
Behrman, J. R., & Wolfe, B. L. (1987). “How Does Mother’s Schooling Affect Family Health, Nutrition, Medical Care Usage, and Household Sanitation. Journal of Econometrics, 36, 185–204.
Chesher, A. D. (1984). “Testing for Neglected Heterogeneity.” Econometrica, 52, 865–872.
Cohen, B. (1953). “Methodology of Record Follow-up Studies on Veterans.” American Journal of Public Health, 43, 1292–1298.
Cox, D. (1972). “Regression Models and Life Tables.” Journal of the Royal Statistical Society, Ser. B, 33, 187–202.
—. (1975). “Partial Likelihood.” Biometrika, 62, 269–276.
Cox, D. R., & Snell, E. J. (1968). “A General Definition of Residuals.” Journal of the Royal Statistical Society 131, 265–279.
DeBakey, M., & Beebe, G. (1952). “Medical Follow-up Studies on Veterans.” Journal of the American Medical Association, 182, 1103–1109.
Dorn, H. (1958). “The Mortality of Smokers and Non-smokers.” In Proceedings of the Social Statistics Section, American Statistical Association. Alexandria, VA: American Statistical Association, pp. 34–71.
Duleep, H. (1986). “The Socioeconomic Determinants of Mortality: The Role of Income.” Journal of Human Resources, 21, 238–251.
Grossman, M. (1972). The Demand for Health: A Theoretical and Empirical Investigation. New York: Columbia University Press.
Heckman, J., & Singer, B. (1984). “A Method for Minimizing the Impact of Distributional Assumptions in Econometric Models for Duration Data.” Econometrica, 52, 271–320.
Kahn, H. (1966). “The Dorn Study of Smoking and Mortality Among U.S. Veterans: Report of 8½ Years of Observation.” In Epidemiological Approaches to the Study of Cancer and Other Diseases, ed. W. Haenszel, Monograph 19. Bethesda, MD: U.S. Public Health Service, National Cancer Institute, pp. 1–125.
Kalbfleisch, J., & Prentice, R. (1980). Statistical Analysis of Failure Time Data. New York: Wiley.
Kaplan, E., Seeman, T. E., Cohen, R. D., Knudsen, L. F., & Guralnik, J. (1987). “Mortality Among the Elderly in the Alameda County Study: Behavioral and Demographic Risk Factors.’ Journal of Public Health, 77, 307–312.
Kitagawa, E., & Hauser, P. (1973). Differential Mortality in the United States of America: A Study in Socioeconomic Epidemiology. Cambridge, MA: Harvard University Press.
Lancaster, T. (1985). “Generalized Residuals and Heterogenous Duration Models.” Journal of Econometrics, 28, 155–169.
Madans, J. (1987). “10 Years After NHANES 1: Report of Initial Followup, 1982–84.” Office of Analysis and Epidemiology Program, National Center for Health Statistics (mimeograph).
Madans, J. H., Cox, C. S., Kleinman, J. C., Makuc, D., Feldman, J. J., Finucane, F. F., Barbano, H. E., & Cornoni-Huntley, J. (1986). “10 Years After NHANES 1: Mortality Experience at Initial Followup, 1982–1984.” Public Health Reports, 101, 465–473.
Maddala, G. S. (1977). Econometrics. New York: McGraw-Hill.
Manton, K. G., Stallard, E., & Vaupel, J. W. (1986). “Alternative Models for the Heterogeneity of Mortality Risks Among the Aged.” Journal of the American Statistical Association, 81, 635–644.
Manton, K. G., & Stallard, E. (1979). “Maximum Likelihood Estimation of a Stochastic Compartment Model of Cancer Latency: Lung Cancer Mortality Among White Females in the U.S.” Computers and Biomedical Research, 12, 313–325.
Manton, K. G. (1981). “Heterogeneity and Its Effect on Mortality Measurement.” In Methodologies for the Collection and Analysis of Mortality Data, eds. J. Vallin & J. H. Pollard. Liege, Belgium: pp. 265–299.
Moore, D., & Haywood, M. (1988). “Death of a Salesman: Occupational Difference in Mortality Among a Cohort of Older Men.” Battelle Memorial Institute, Columbus, Ohio (mimeograph).
Rogot, E. (1974). Smoking and General Mortality Among U.S. Veterans 1954–1969. Washington, DC: Dept. of Health, Education and Welfare. [DHEW Publication (NIH) 74–544].
Rogot, E., & Murray, J. (1980). “Smoking and Causes of Death Among U.S. Veterans: 16 Years of Observation.” Public Health Reports. 95, 213–222.
Rosen, S., & Taubman, P. (1984). “Changes in the Impact of Education and Income on Mortality in the U.S.” Statistical Uses of Administrative Records: Recent Research and Present Prospects. Washington, DC: U.S. Dept. of Health, Education and Welfare, pp. 549–554.
Sickles, R., & Taubman, P. (1986). “An Analysis of the Health and Retirement Status of the Elderly. Econometrica, 54, 1339–1356.
Taubman, P., & Rosen, S. (1982). “Healthiness, Education and Marital Status. In Economic Aspects of Health, ed. V. Fuchs. Chicago: University of Chicago Press, pp. 121–140.
U.S. Employment Service, Bureau of Employment Security. (1961). Estimates of Worker Trait Requirements for 4,000 Jobs as Defined in the Directory of Occupational Titles. Washington, DC: U.S. Government Printing Office.
Vaupel, J., Manton, K., & Stallard, E. (1979). “The Impact of Heterogeneity in Individual Frailty on the Dynamics of Mortality.” Demography, 16, 439–454.
White, H. (1982). “Maximum Likelihood Estimation of Misspeeified Models.” Econometrica, 50, 1–26.
Wolfe, B. L., & Behrman, J. R. (1987). “Women’s Schooling and Children’s Health: Are the Effects Robust With Adult Sibling Control for the Women’s Childhood Background?” Journal of Health Economics, 6, 239–254.
Yi, K. M., Honorer, B., & Walker, J. (1986). CTM: A Program for the Estimation and Testing of Continuous Multi-Spell Models—Users Manual, Program Version 5.0. Chicago: National Opinion Research Corporation.
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Behrman, J.R., Sickles, R.C. & Taubman, P. Age-Specific Death Rates With Tobacco Smoking and Occupational Activity: Sensitivity to Sample Length, Functional Form, and Unobserved Frailty. Demography 27, 267–284 (1990). https://doi.org/10.2307/2061453
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DOI: https://doi.org/10.2307/2061453