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On Estimation in Relative Survival
Author(s) -
Perme Maja Pohar,
Stare Janez,
Estève Jacques
Publication year - 2012
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/j.1541-0420.2011.01640.x
Subject(s) - estimator , relative survival , comparability , statistics , econometrics , estimation , variance (accounting) , population , survival analysis , interpretation (philosophy) , efficiency , computer science , mathematics , medicine , cancer registry , economics , environmental health , management , accounting , combinatorics , programming language
Summary Estimation of relative survival has become the first and the most basic step when reporting cancer survival statistics. Standard estimators are in routine use by all cancer registries. However, it has been recently noted that these estimators do not provide information on cancer mortality that is independent of the national general population mortality. Thus they are not suitable for comparison between countries. Furthermore, the commonly used interpretation of the relative survival curve is vague and misleading. The present article attempts to remedy these basic problems. The population quantities of the traditional estimators are carefully described and their interpretation discussed. We then propose a new estimator of net survival probability that enables the desired comparability between countries. The new estimator requires no modeling and is accompanied with a straightforward variance estimate. The methods are described on real as well as simulated data.