Hazard regression for interval-censored data with penalized spline

Tianxi Cai; Rebecca A. Betensky

doi:10.1111/1541-0420.00067

Hazard regression for interval-censored data with penalized spline

Tianxi Cai, Rebecca A. Betensky

Global Public Health

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	570-579
Number of pages	10
Journal	Biometrics
Volume	59
Issue number	3
DOIs	https://doi.org/10.1111/1541-0420.00067
State	Published - Sep 2003

Keywords

Mixed model
Proportional hazards
Restricted maximum likelihood

ASJC Scopus subject areas

Statistics and Probability
Biochemistry, Genetics and Molecular Biology(all)
Immunology and Microbiology(all)
Agricultural and Biological Sciences(all)
Applied Mathematics

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AB - 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.

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KW - Proportional hazards

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Hazard regression for interval-censored data with penalized spline

Abstract

Keywords

ASJC Scopus subject areas

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