Regression splines for threshold selection in survival data analysis

Autor:	Jean-François Durand, Nicolas Molinari, Jean-Pierre Daurès
Rok vydání:	2001
Předmět:	Statistics and Probability Piecewise linear function Spline (mathematics) Multivariate adaptive regression splines Epidemiology Proportional hazards model Likelihood-ratio test Covariate Statistics Hazard ratio Confidence interval Mathematics
Zdroj:	Statistics in Medicine. 20:237-247
ISSN:	1097-0258 0277-6715
DOI:	10.1002/1097-0258(20010130)20:2<237::aid-sim654>3.0.co;2-i
Popis:	The Cox proportional hazards model restricts the hazard ratio to be linear in the covariates. A survival model based on data from a clinical trial is developed using spline functions with variable knots to estimate the log hazard function. Moreover, the main point of the method is that a knot, seen as free parameters for a piecewise linear spline, represents a break point in the log hazard function which may be interpreted as a threshold value. The likelihood ratio test is used to select the final model and to determine the threshold number for a covariate. Confidence intervals for these threshold values are computed by bootstrapping the data. Two examples illustrate the method.
Databáze:	OpenAIRE
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