A Cox regression model for the relative mortality and its application to diabetes mellitus survival data

Biometrics. 1985 Dec;41(4):921-32.


A Cox-type regression model for the ratio between the mortality in a cohort and that in a reference population is introduced. By means of the model it is possible to include in the survival analysis both individual (possibly time-dependent) characteristics for the study cohort and changing trends in the mortality in the reference population. This is particularly relevant in long-term follow-up studies where there may be considerable changes in the mortality in the reference population. Estimation procedures in the model are discussed and large-sample properties of the estimators are outlined. The model is applied to the analysis of two sets of data concerning the survival among insulin-dependent diabetics in Denmark.

Publication types

  • Research Support, Non-U.S. Gov't

MeSH terms

  • Adolescent
  • Adult
  • Age Factors
  • Aged
  • Analysis of Variance
  • Child
  • Child, Preschool
  • Diabetes Mellitus / mortality*
  • Diabetes Mellitus, Type 1 / mortality
  • Female
  • Humans
  • Infant
  • Male
  • Middle Aged
  • Regression Analysis
  • Sex Factors