ReviewPeriod analysis for ‘up-to-date’ cancer survival data: theory, empirical evaluation, computational realisation and applications
Introduction
Long-term survival rates are the most commonly used outcome measures for patients with cancer. They are widely used to monitor progress in cancer care over time, or to compare quality of cancer care between different populations (e.g. 1, 2, 3, 4). Furthermore, cancer survival statistics are increasingly accessible through the Internet to clinicians and cancer patients, and their knowledge has a strong impact on both clinicians’ management of the disease as well as patients’ coping strategies.
However, traditional long-term survival rates, which have been derived by cohort-based types of analysis 5, 6, 7, have essentially reflected the survival expectations of patients diagnosed many years ago. They have often been severely outdated at the time they became available as they failed to account for ongoing improvements in survival over time. A few years ago, a new method of survival analysis, denoted period analysis, has been introduced to derive more up-to-date estimates of long-term survival rates 8, 9. Meanwhile, this methodology has undergone extensive empirical evaluation 10, 11, 12, 13, 14, which showed that the method provides much more up-to-date estimates of long-term survival rates than traditional methods of survival analysis indeed. Furthermore, software has been developed which allows easy implementation of this new analytical tool for both absolute and relative survival rates [15]. The method is now applied to derive more up-to-date long-term survival rates in an increasing number of countries 16, 17, 18, 19, 20, 21, 22, 23, 24. These analyses suggest that long-term survival rates achieved by the end of the 20th century are much higher than previously suggested by traditional cohort-based analysis. For example, a recent period analysis of cancer patient survival in the United States [22] indicated that 20-year relative survival rates for all cancers combined are now approximately 51% rather than 40% as suggested by traditional cohort-based analysis (see Fig. 1). Even larger differences are seen for many common forms of cancer, such as breast cancer (65% versus 52%) or ovarian cancer (50% versus 35%).
In this review, a comprehensive presentation of the new methodology, its statistical background, empirical evaluation, computational realisation and applications is given. We thereby hope to expedite widespread availability of more up-to-date cancer survival statistics.
Section snippets
Theory
The methodological principle of period analysis, which has been described in detail by Brenner and Gefeller 8, 9 is very simple. In order to provide up-to-date estimates of long-term survival for some recent time period, all observations included in the analysis are left-truncated at the beginning of the period of interest in addition to being right censored at its end. This is illustrated in Fig. 2 for 5-, 10-, 15-, and 20-year survival estimates that might be obtained for a recent time
Empirical evaluation
Two major avenues have been followed for empirical evaluation of the performance of period analysis.
In one approach, it was evaluated how well survival estimates obtained by period analysis (compared with estimates obtained by traditional survival analysis) within some calendar period actually agree with the survival rates later observed for patients diagnosed with cancer in that period. This approach is of particular relevance in the clinical setting, where the prognosis of newly-diagnosed
Computational realisation
The previously available special software for relative survival analysis used by most cancer registries has not included options to perform period analysis 29, 30. Recently, easy to use SAS macros have been developed and made publicly available, by which both traditional analysis as well as period analysis of both absolute and relative survival rates can be performed. Two macro versions are currently available. They provide identical results for absolute survival rates, but they differ in the
Applications
In previous work, both cohort and complete analyses have been applied to derive population-based cancer survival rates. Pure cohort analysis has been very popular. For example, the previous report of the EUROCARE project, an international collaborative study of European cancer registries, has included cohort estimates of 5-year survival of patients diagnosed in 1985–1989 and followed until 1994 [2]. Pure forms of complete analysis have been rare (e.g. [34]), but ‘close to complete analysis’ has
Discussion
Since the first publication suggesting the use of period analysis for cancer patient survival appeared in the literature in 1996, a thorough empirical evaluation has disclosed that
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this method provides more ‘up-to-date’ estimates of long-term cancer patient survival than traditional methods of survival analysis
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period estimates of long-term cancer patient survival within some recent time period quite closely predict long-term survival rates observed later for patients diagnosed in that period
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2022, PathologyCitation Excerpt :Directly age standardised incidence rates were calculated using the Australian 2001 standard age distribution.20 Relative survival estimates were produced using the period approach.21 Poisson generalised linear models22 were fitted to both the incidence and survival data to calculate age-adjusted, sex-specific rates for incidence and survival separately by three area-based factors: state or territory, remoteness and area-level socioeconomic index.