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Mortality studies: measurement of experience and comparison with a standard

Published online by Cambridge University Press:  20 April 2012

S. Haberman
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Extract

The paper describes in some detail the statistical methods that may be used for analysing mortality data from medical and epidemiological studies, with particular reference to quantifying survival and the risk of mortality and to comparing the experience with a standard.

Type
Research Article
Information
Journal of the Institute of Actuaries , Volume 109 , Issue 2 , September 1982 , pp. 203 - 223
Copyright
Copyright © Institute and Faculty of Actuaries 1982

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References

(1) Habekman, S. (1981) ‘Statistical Analysis of Survival After Stroke and the Derivation of Life Assurance Underwriting Ratings’ (Ph.D. thesis).Google Scholar
(2) Gross, A. J. & Clark, V. A. (1975) Survival Distributions: Reliability Applications in the Biomedical Sciences. J. Wiley: New York.Google Scholar
(3) Elandt-Johnson, R. C. & Johnson, N. L. (1980) Survival Models and Data Analysis. J. Wiley: New York.Google Scholar
(4) Kalbfleisch, J. D. & Prentice, R. L. (1980) The Statistical Analysis of Failure Time Data. J. Wiley: New York.Google Scholar
(5) Haberman, S., Capildeo, R. & Clifford Ross, F. (1981) ‘Sex Differences in the Incidence of Stroke’. J. Epidemiol. Comm. Health 35, 45–50.CrossRefGoogle Scholar
(6) Feinstein, A. (1973) Clinical Biostatistics XX. Clin. Pharmacol. Ther. 14, 291–307.CrossRefGoogle ScholarPubMed
(7) Greenwood, M. (1926) The ‘Errors of Sampling’ of the Survivorship Tables: A Report on the Natural Duration of Cancer. (Reports on Public Health and Medical Subjects, No. 33, App. 1, pp. 23–5.) H.M.S.O.: London.Google Scholar
(8) Gehan, E. A. (1969) ‘Estimating Survival Functions from the Life Table’. J. Chron. Dis. 21, 629–44.CrossRefGoogle ScholarPubMed
(9) Irwin, J. O. (1947) ‘The Standard Error of an Estimate of an Expectation of Life, With Special Reference to Expectations of Tumourless Life in Experiments with Mice’. J. Hyg. (Camb.) 49, 188–9.Google Scholar
(10) Kaplan, E. & Meier, P. (1958) ‘Nonparametric Estimation from Incomplete Observations’, J. Amer. Stat. Assoc. 53, 457–81.CrossRefGoogle Scholar
(11) Chiang, C. (1968) Introduction to Stochastic Processes in Biostatistics. J. Wiley: New York.Google Scholar
(12) Kendall, M. G. & Stuart, A. (1976) The Advanced Theory of Statistics, Vol. 1 (4th edn). Griffin: London.Google Scholar
(13) Gail, M. (1975) ‘A Review and Critique of Some Models Used in Competing Risk Analysis’. Biometrics 31, 209–22.CrossRefGoogle ScholarPubMed
(14) Kuzma, J. (1967) ‘A Comparison of Two Life Table Methods’. Biometrics 23, 51–64.CrossRefGoogle ScholarPubMed
(15) Gillespie, M. J. & Fisher, L. (1979) ‘Confidence Bands for the Kaplan–Meier Survival Curve Estimate’. Ann. Stat. 7, 920–4.CrossRefGoogle Scholar
(16) Mantel, N. (1966) ‘Evaluation of Survival Data and Two New Rank Order Statistics Arising in Its Consideration’. Cancer Chemother. Rep. 50, 163–70.Google ScholarPubMed
(17) Peto, R. & Peto, J. (1972) ‘Asymptotically Efficient Rank Invariant Test Procedures (With Discussion)’. J. Roy. Stat. Soc., Ser. A 135, 185–206.CrossRefGoogle Scholar
(18) Gehan, E. A. (1965) ‘A Generalised Wilcoxon Test for Comparing K Samples Subject to Unequal Patterns of Censorship’. Biometrika 52, 203–23.CrossRefGoogle Scholar
(19) Breslow, N. (1970) ‘A Generalised Kruskal–Wallis Test for Comparing K Samples Subject to Unequal Pattern of Censorship’. Biometrika 57, 579–94.CrossRefGoogle Scholar
(20) Singer, R. B. & Levinson, L. (1976) Medical Risks—Patterns of Mortality and Survival. Heath: Lexington.Google Scholar
(21) Ederer, F., Axtell, L. M. & Cutler, S. J. (1961) ‘The Relative Survival Rate: A Statistical Methodology’. Nat. Cancer Inst. Monogr. 6, 101–21.Google ScholarPubMed
(22) Cutler, S. J. & Ederer, F. (1963) ‘Partitioning of a Patient Population with Respect to Different Mortality Risks’. J. Amer. Stat. Assoc. 58, 701–12.CrossRefGoogle Scholar
(23) Haberman, S. (1978) ‘Rating of Lives Impaired by Cerebrovascular Disease’. Trans. Assurance Med. Soc. 6, 1–12.Google Scholar
(24) Marx, A. (1972) ‘A Life Insurer's Interpretation of Survival Rates’. Annals of Life Ins. Med. 3, 1–14.Google Scholar
(25) Hansen, M. H., Hurwitz, W. N. & Madow, W. G. (1953) Sample Survey Methods and Theory, Vol. 2. p. 107. J. Wiley: New York.Google Scholar
(26) Perks, W. (1966) ‘Discussion on an Investigation into the Mortality of Impaired Lives During the Period 1947–1963 by T. W. Preston and R. D. Clarke’. J.I.A. 92, 64.Google Scholar
(27) Benjamin, B. & Pollard, J. H. (1980) The Analysis of Mortality and & Her Actuarial Statistics. Heinemann: London.Google Scholar
(28) Axtell, L. M., Cutler, S. J. & Myers, M. H. (1972) End Results in Cancer, Report No. 4. End Results Section, Biometry Branch, National Cancer Institute Bethesda. (Dept. of Health, Education and Welfare Publ. No. NIH 73–272.)Google Scholar
(29) Daykin, C.D. (1979) ‘The Recent Trend of Mortality in Great Britain’. J.I.A. 106, 219–24.Google Scholar
(30) Pollard, J. H. (1977) Handbook of Numerical and Statistical Techniques. C.U.P.: London.CrossRefGoogle Scholar
(31) Pearson, E. S. & Hartley, H. O. (eds) (1958) Biometrika Tables for Statisticians, Vol. 1, p. 204. C.U.P.: London.Google Scholar
(32) Build and Blood Pressure Study (1959) Society of Actuaries: Chicago.Google Scholar