A semiparametric Cox-Aalen transformation model with censored data

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Ning, X., Pan, Y., Sun, Y., & Gilbert, P. B. (2023). A semiparametric Cox-Aalen transformation model with censored data. Biometrics. https://doi.org/doi:10.1111/biom.13895
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Faculty, We propose a broad class of so-called Cox–Aalen transformation models that incorporate both multiplicative and additive covariate effects on the baseline hazard function within a transformation. The proposed models provide a highly flexible and versatile class of semiparametric models that include the transformation models and the Cox–Aalen model as special cases. Specifically, it extends the transformation models by allowing potentially time-dependent covariates to work additively on the baseline hazard and extends the Cox–Aalen model through a predetermined transformation function. We propose an estimating equation approach and devise an expectation-solving (ES) algorithm that involves fast and robust calculations. The resulting estimator is shown to be consistent and asymptotically normal via modern empirical process techniques. The ES algorithm yields a computationally simple method for estimating the variance of both parametric and nonparametric estimators. Finally, we demonstrate the performance of our procedures through extensive simulation studies and applications in two randomized, placebo-controlled human immunodeficiency virus (HIV) prevention efficacy trials. The data example shows the utility of the proposed Cox–Aalen transformation models in enhancing statistical power for discovering covariate effects.

Details
Title

A semiparametric Cox-Aalen transformation model with censored data

Author(s)

Ning, Xi
Pan, Yinghao
Sun, Yanqing
Gilbert, Peter B.

UNC Charlotte Affiliate Type

Faculty

Extent

1 online resource

Date Created

2023

Genre

articles

Resource Type

text

Abstract

We propose a broad class of so-called Cox–Aalen transformation models that incorporate both multiplicative and additive covariate effects on the baseline hazard function within a transformation. The proposed models provide a highly flexible and versatile class of semiparametric models that include the transformation models and the Cox–Aalen model as special cases. Specifically, it extends the transformation models by allowing potentially time-dependent covariates to work additively on the baseline hazard and extends the Cox–Aalen model through a predetermined transformation function. We propose an estimating equation approach and devise an expectation-solving (ES) algorithm that involves fast and robust calculations. The resulting estimator is shown to be consistent and asymptotically normal via modern empirical process techniques. The ES algorithm yields a computationally simple method for estimating the variance of both parametric and nonparametric estimators. Finally, we demonstrate the performance of our procedures through extensive simulation studies and applications in two randomized, placebo-controlled human immunodeficiency virus (HIV) prevention efficacy trials. The data example shows the utility of the proposed Cox–Aalen transformation models in enhancing statistical power for discovering covariate effects.

Subjects--Topics

Mathematical models
Models and modelmaking

Is Part Of

Biometrics

Language

English

Published Version (Please cite this version)

doi:10.1111/biom.13895

Publisher's Version

https://doi.org/10.1111/biom.13895

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