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A novel nonparametric measure of explained variation for survival data with an easy graphical interpretation.


ABSTRACT: INTRODUCTION:For survival data the coefficient of determination cannot be used to describe how good a model fits to the data. Therefore, several measures of explained variation for survival data have been proposed in recent years. METHODS:We analyse an existing measure of explained variation with regard to minimisation aspects and demonstrate that these are not fulfilled for the measure. RESULTS:In analogy to the least squares method from linear regression analysis we develop a novel measure for categorical covariates which is based only on the Kaplan-Meier estimator. Hence, the novel measure is a completely nonparametric measure with an easy graphical interpretation. For the novel measure different weighting possibilities are available and a statistical test of significance can be performed. Eventually, we apply the novel measure and further measures of explained variation to a dataset comprising persons with a histopathological papillary thyroid carcinoma. CONCLUSION:We propose a novel measure of explained variation with a comprehensible derivation as well as a graphical interpretation, which may be used in further analyses with survival data.

SUBMITTER: Weiß V 

PROVIDER: S-EPMC4633600 | biostudies-literature | 2015

REPOSITORIES: biostudies-literature

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A novel nonparametric measure of explained variation for survival data with an easy graphical interpretation.

Weiß Verena V   Schmidt Matthias M   Hellmich Martin M  

German medical science : GMS e-journal 20151029


<h4>Introduction</h4>For survival data the coefficient of determination cannot be used to describe how good a model fits to the data. Therefore, several measures of explained variation for survival data have been proposed in recent years.<h4>Methods</h4>We analyse an existing measure of explained variation with regard to minimisation aspects and demonstrate that these are not fulfilled for the measure.<h4>Results</h4>In analogy to the least squares method from linear regression analysis we devel  ...[more]

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