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Regression Analysis of Relative Survival Rates

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  • T. Hakulinen
  • L. Tenkanen

Abstract

Survival from cancer or other chronic diseases is often measured using the relative survival rate. This, in turn, is defined as the ratio of the observed survival rate in the patient group under consideration to the expected survival rate in a group taken from the general population. At the beginning of the follow‐up period, apart from the disease under study, factors affecting survival (e.g. age and sex) should be similar in the two groups. This paper outlines how a proportional hazards regression model may be adapted to the relative survival rates using GLIM. The method is illustrated by data on lung cancer patients diagnosed in Finland in 1968–1970.

Suggested Citation

  • T. Hakulinen & L. Tenkanen, 1987. "Regression Analysis of Relative Survival Rates," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 36(3), pages 309-317, November.
  • Handle: RePEc:bla:jorssc:v:36:y:1987:i:3:p:309-317
    DOI: 10.2307/2347789
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    Cited by:

    1. Weihua Guan & Roberto G. Gutierrez, 2002. "Programmable GLM: Two user-defined links," Stata Journal, StataCorp LP, vol. 2(4), pages 378-390, November.
    2. Sanjib Basu & Ram C. Tiwari, 2010. "Breast cancer survival, competing risks and mixture cure model: a Bayesian analysis," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 173(2), pages 307-329, April.
    3. Lu Tang & Ling Zhou & Peter X. K. Song, 2019. "Fusion learning algorithm to combine partially heterogeneous Cox models," Computational Statistics, Springer, vol. 34(1), pages 395-414, March.
    4. Jun, Duk Bin & Kim, Kyunghoon & Park, Myoung Hwan, 2016. "Forecasting annual lung and bronchus cancer deaths using individual survival times," International Journal of Forecasting, Elsevier, vol. 32(1), pages 168-179.
    5. Øystein Kravdal, 1997. "The Attractiveness of an Additive Hazard Model: An Example from Medical Demography," European Journal of Population, Springer;European Association for Population Studies, vol. 13(1), pages 33-47, March.

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