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Comparison of two discrimination indexes in the categorisation of continuous predictors in time-to-event studies. (English) Zbl 1378.62131

Summary: The Cox proportional hazards model is the most widely used survival prediction model for analysing time-to-event data. To measure the discrimination ability of a survival model the concordance probability index is widely used. In this work we studied and compared the performance of two different estimators of the concordance probability when a continuous predictor variable is categorised in a Cox proportional hazards regression model. In particular, we compared the c-index and the concordance probability estimator. We evaluated the empirical performance of both estimators through simulations. To categorise the predictor variable we propose a methodology which considers the maximal discrimination attained for the categorical variable. We applied this methodology to a cohort of patients with chronic obstructive pulmonary disease, in particular, we categorised the predictor variable forced expiratory volume in one second in percentage.

MSC:

62P10 Applications of statistics to biology and medical sciences; meta analysis
62N01 Censored data models
62N02 Estimation in survival analysis and censored data

Software:

R; rgenoud; CPE
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Full Text: DOI

References:

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