A Cox regression model for the relative mortality and its application to diabetes mellitus survival data.
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.
D000293:Adolescent; D000328:Adult; D000367:Age Factors; D000368:Aged; D000704:Analysis of Variance; D002648:Child; D002675:Child, Preschool; D003920:Diabetes Mellitus / Q000401:mortality*; D003922:Diabetes Mellitus, Type 1 / Q000401:mortality; D005260:Female; D006801:Humans; D007223:Infant; D008297:Male; D008875:Middle Aged; D012044:Regression Analysis; D012737:Sex Factors