One approach to assessing progress against cancer is to examine changes in the survival of cancer patients over time. Survival data for patients registered with cancer are compiled centrally by the Office for National Statistics (ONS) from information collected by regionally based cancer registries, and these data provide the main source of routine survival statistics for England and Wales. Although the ONS data include information on time from diagnosis to death, the specific cause of death is not routinely collected and so conventional estimates of survival based on these data reflect death from all causes rather than just the cancer of interest. Corresponding trends in survival estimates are sometimes difficult to interpret because it may be unclear whether changes in survival over time among a given group of cancer patients are in fact due to changes in the risk of death from the cancer itself, or to changes in the risk of death from causes other than that cancer.In situations like this, it is common to use some form of 'relative survival rate ' (Ederer et al, 1961) which is usually defined as a measure of survival 'corrected' for the effect of other independent causes of death, commonly referred to as background mortality.Although this approach appears simple in principle, there has been considerable debate in the statistical literature as to the correct choice of estimate, and it has been shown that use of certain estimates can lead to spurious results for long-term relative survival (Hakulinen, 1977). This paper aims to provide a straightforward introduction to the concept of relative survival and reviews some of the suggested methods for estimation. In particular, a simple person-years approach is described that is based on directly interpretable measures such as observed and expected numbers of deaths. This approach is illustrated using preliminary data from ONS on cancer survival in patients born after 1939 who were diagnosed with cancer during the period 1972-84.
Materials and methodsThe concept of relative survival was devised to provide an objective measure of the proportion of patients dying from the direct or indirect consequence of a disease in a given population and, hence, a measure of survival corrected for the effect of other independent causes of death. The basic definition of the relative survival rate is given below.Let T d denote the time to death assuming that the subject is only at risk of death from the disease of interest, T e the time to death assuming that the subject is only at risk of death from all other causes, and T=minimum(T d ,T e ) the observed time to death, all measured from some suitable reference point such as date of diagnosis. Assuming that the cause of interest and all other causes are independent, the overall probability of surviving to time t is Summary Because routinely collected survival data for cancer patients in England and Wales do not typically specify cause of death, conventional estimates of survival in cancer patients based on such data are a measure of th...