Hazard Regression for Interval-Censored Data with Penalized Spline

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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.

Keywords: Mixed model; Proportional hazards; Restricted maximum likelihood

Document Type: Research Article

DOI: http://dx.doi.org/10.1111/1541-0420.00067

Publication date: September 1, 2003

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