Premium
Hazard Regression for Interval‐Censored Data with Penalized Spline
Author(s) -
Cai Tianxi,
Betensky Rebecca A.
Publication year - 2003
Publication title -
biometrics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.298
H-Index - 130
eISSN - 1541-0420
pISSN - 0006-341X
DOI - 10.1111/1541-0420.00067
Subject(s) - spline (mechanical) , statistics , hazard , mathematics , hazard ratio , covariate , smoothing , interval (graph theory) , piecewise , proportional hazards model , computer science , confidence interval , econometrics , engineering , mathematical analysis , chemistry , structural engineering , organic chemistry , combinatorics
Summary . This article introduces a new approach for estimating the hazard function for possibly interval‐ and right‐censored survival data. We weakly parameterize the log‐hazard function with a piecewise‐linear spline and provide a smoothed estimate of the hazard function by maximizing the penalized likelihood through a mixed model–based approach. We also provide a method to estimate the amount of smoothing from the data. We illustrate our approach with two well‐known interval‐censored data sets. Extensive numerical studies are conducted to evaluate the efficacy of the new procedure.