Volume 35 - Article 15 | Pages 399–454
Variance models of the last age interval and their impact on life expectancy at subnational scales
By Ernest Lo, Dan Vatnik, Andrea Benedetti, Robert Bourbeau
References
Andreev, K.F. and Bourbeau, R. (2006). Frailty modeling of Canadian and Swedish mortality at adult and advanced ages. Unpublished manuscript .
Bajekal, M. (2005). Healthy life expectancy by area deprivation: Magnitude and trends in England, 1994‒1999. Health Statistics Quarterly 25: 18–27.
Bebbington, M., Lai, C.D., and Zitikis, R. (2011). Modelling deceleration in senescent mortality. Mathematical Population Studies 18(1): 18–37.
Bourbeau, R. and Desjardins, B. (2007). Mortality at extreme ages and data quality: The Canadian experience. In: Robine, J.-M., Crimmins, E.M., Horiuchi, S., and Zeng, Y. (eds.). Human longevity, individual life duration, and growth of the oldest-old population. Berlin: Springer: 167–185.
Bourbeau, R. and Lebel, A. (2000). Mortality statistics for the oldest-old: An evaluation of Canadian data. Demographic Research 2(2).
Brillinger, D.R. (1986). The natural variability of vital rates and associated statistics. Biometrics 42(4): 693–734.
Brown, R.L. (1993). Introduction to the mathematics of demography. New Hartford: ACTEX Publications.
Canada, Statistics (2006). Census of population.
Casella, G. and Berger, R.L. (2002). Statistical inference. Pacific Grove: Duxbury.
Chiang, C.L. (1960). A stochastic study of the life table and its applications: II. Sample variance of the observed expectation of life and other biometric functions. Human Biology 32(3): 221–238.
Chiang, C.L. (1984). The life table and its applications. Malabar: Robert E. Krieger.
CHMD (2015). Canadian Human Mortality Database [electronic resource].
Coale, A.J. and Kisker, E.E. (1990). Defects in data on old-age mortality in the United States: New procedures for calculating mortality schedules and life tables at the highest ages. Asian and Pacific Population Forum 4(1): 1–32.
Cox, C. (2005). Delta method. In: Armitage, P. and Colton, T. (eds.). Encyclopedia of biostatistics. New York: John Wiley: 1540–1542.
DeGroot, M.H. (1986). Probability and statistics. Reading: Addison-Wesley.
Eayres, D. and Williams, E.S. (2004). Evaluation of methodologies for small area life expectancy estimation. Journal of Epidemiology and Community Health 58: 243–249.
Geronimus, A.T., Bound, J., Waidmann, T.A., Colen, C.G., and Steffick, D. (2001). Inequality in life expectancy, functional status, and active life expectancy across selected black and white populations in the United States. Demography 38(2): 227–251.
Geruso, M. (2012). Black-White disparities in life expectancy: How much can the standard SES variables explain? Demography 49(2): 553‒574.
Gravetter, F.J. and Wallnau, L.B. (2002). Essentials of statistics for the behavioral sciences. Pacific Grove: Wadsworth.
Greville, T.N.E. (1943). Short methods of constructing abridged life tables. Record of the American Institute of Actuaries 32(1): 29–42.
Horsman, J., Furlong, W., Feeny, D., and Torrance, G. (2003). The Health Utilities Index (HUI): Concepts, measurement properties and applications. Health and Quality of Life Outcomes 1(54).
Keyfitz, N. (1966). Sampling variance of standardized mortality rates. Human Biology 38(3): 309–317.
Keyfitz, N. and Frauenthal, J. (1975). An improved life table method. Biometrics 31(4): 889–899.
Kyte, L. and Wells, C. (2010). Variations in life expectancy between rural and urban areas of England, 2001‒07. Health Statistics Quarterly 46: 25–50.
Lloyd-Smith, J.O. (2007). Maximum likelihood estimation of the negative binomial dispersion parameter for highly overdispersed data, with applications to infectious diseases. PLoS One 2(2): e180.
Loukine, L., Waters, C., Choi, B.C., and Ellison, J. (2012). Impact of diabetes mellitus on life expectancy and health-adjusted life expectancy in Canada. Population Health Metrics 10(1): 7.
Manton, K.G. and Stallard, E. (1981). Methods for the analysis of mortality risks across heterogeneous small populations: Examination of space-time gradients in cancer mortality in North Carolina counties 1970‒75. Demography 18(2): 217–230.
Manuel, D.G., Schultz, S.E., and Kopec, J.A. (2002). Measuring the health burden of chronic disease and injury using health adjusted life expectancy and the Health Utilities Index. Journal of Epidemiology and Community Health 56(11): 843–850.
Martel, L., Provost, M., Lebel, A., Coulombe, S., and Sherk, A. (2012). Methods for constructing life tables for Canada, provinces and territories. Statistics Canada.
Mathers, C. (1991). Health expectancies in Australia 1981 and 1988. Canberra: Australian Institute of Health.
Molla, M.T., Wagener, D.K., and Madans, J.H. (2001). Summary measures of population health: Methods for calculating healthy life expectancy. Healthy People 2010, Statistical Notes 21: 1–11.
MSSS (2011). Pour guider l’action: Portrait de santé et de ses régions, les statistiques. Québec: Ministère de la Santé et des Services sociaux en collaboration avec l’Institut national de santé publique du Québec et l’Institut de la statistique du Québec.
Page, A., Begg, S., Taylor, R., and Lopez, A.D. (2007). Global comparative assessments of life expectancy: The impact of migration with reference to Australia. Bulletin of the World Health Organization 85(6): 474–481.
Pampalon, R., Hamel, D., Gamache, P., Philibert, M.D., Raymond, G., and Simpson, A. (2012). An area-based material and social deprivation index for public health in Québec and Canada. Canadian Journal of Public Health 103(Suppl 2): S17–S22.
Pelletier, G. (2005). La population du Québec par territoire des centres locaux de services communautaires, par territoire des réseaux locaux de services et par région sociosanitaire de 1981 à 2026. Québec: Santé et Services sociaux Québec.
Robine, J.M., Romieu, I., and Cambois, E. (1999). Health expectancy indicators. Bulletin of the World Health Organization 77(2): 181–185.
Salomon, J.A., Wang, H., Freeman, M.K., Vos, T., Flaxman, A.D., Lopez, A.D., and Murray, C.J. (2012). Healthy life expectancy for 187 countries, 1990‒2010: A systematic analysis for the Global Burden Disease Study 2010. Lancet 380(9859): 2144–2162.
Scherbov, S. and Ediev, D. (2012). Significance of life table estimates for small populations: Simulation-based study of standard errors. Demographic Research 24(22): 527–550.
Schoen, R. (1978). Calculating life tables by estimating Chiang’s a from observed rates. Demography 15(4): 625–635.
Shyrock, H.S. and Siegel, J.S. (1976). The methods and materials of demography (abridged edition). New York: Academic Press.
Siegel, J.S. (2012). The life table. In: Siegel, J.S. (ed.). The demography and epidemiology of human health and aging. New York: Springer: 135–216.
Silcocks, P.B.S., Jenner, D.A., and Reza, R. (2001). Life expectancy as a summary of mortality in a population: Statistical considerations and suitability for use by health authorities. Journal of Epidemiology and Community Health 55: 38–43.
Stratton, J., Mowat, D.L., Wilkins, R., and Tjepkema, M. (2012). Income disparities in life expectancy in the City of Toronto and Region of Peel, Ontario. Chronic Diseases and Injuries in Canada 32(4): 208–215.
Sullivan, D.F. (1971). A single index of mortality and morbidity. HSMHA Health Report 86(4): 347–354.
Thatcher, A.R., Kannisto, V., and Vaupel, J.W. (1998). The force of mortality at ages 80 to 120. In: Jeune, B. and Vaupel, J.W. (eds.). Odense Monographs on Population Aging 5. Odense: Odense University Press.
Ting, L., Yang, C.Y., and Anderson, J.J. (2013). Mortality increase in late-middle and early-old age: Heterogeneity in death processes as a new explanation. Demography 50(5): 1563–1591.
Toson, B. and Baker, A. (2003). Life expectancy at birth: Methodological options for small populations [electronic resource].
Vaupel, J.W., Manton, K.G., and Stallard, E. (1979). The impact of heterogeneity in individual frailty on the dynamics of mortality. Demography 16(3): 439–454.
Ver Hoef, J.M. (2012). Who invented the delta method? The American Statistician 66(2): 124–127.
Von Gaudecker, H.M. and Scholz, R.D. (2007). Differential mortality by lifetime earnings in Germany. Demographic Research 17(4): 83–108.
Wilmoth, J.R., Andreev, D., Jdanov, D., and Glei, D.A. (2007). Methods protocol for the human mortality database [electronic resource].
Wilmoth, J.R. and Lundstrom, H. (1996). Extreme longevity in five countries: Presentation of trends with special attention to issues of data quality. European Journal of Population 12(1): 63–93.