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Stat Med. 2001 Jan 30;20(2):237-47.

Regression splines for threshold selection in survival data analysis.

Author information

1
Laboratoire de Biostatistique, Institut Universitaire de Recherche Clinique, 641, avenue Gaston Giraud, 34093 Montpellier, France.

Abstract

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.

PMID:
11169599
[Indexed for MEDLINE]

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