Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data

The Cox proportional hazards model is most widely used in survival analysis for modeling censored survival data. In this model, the effect of the covariates is assumed to act multiplicatively on the baseline hazard rate and the ratio of the hazards is constant over survival time. This is an importan...

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Main Author: Başar, Emel
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia 2017
Online Access:http://journalarticle.ukm.my/10718/
http://journalarticle.ukm.my/10718/
http://journalarticle.ukm.my/10718/1/15%20Aditif%20Aalen.pdf
id ukm-10718
recordtype eprints
spelling ukm-107182017-10-07T15:29:30Z http://journalarticle.ukm.my/10718/ Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data Başar, Emel The Cox proportional hazards model is most widely used in survival analysis for modeling censored survival data. In this model, the effect of the covariates is assumed to act multiplicatively on the baseline hazard rate and the ratio of the hazards is constant over survival time. This is an important assumption and sometimes may not hold in some survival studies. The Cox model can lead to biased results when the proportionality assumption is not satisfied. In such a situation, the additive hazards regression models have been an alternative to proportional hazards models. The Aalen model allows for time-varying covariate effects. In some situations, some covariate effects may be constant but the others may not. In such cases, the Cox-Aalen model is a better alternative since it allows to combine both kinds of covariates in the same model. In this study the Cox proportional hazards model, Aalen’s additive hazards model and the Cox-Aalen model have been considered. These models have been applied to kidney transplant data and the differences in estimates of the unknown parameters obtained by the Aalen’s model, the Cox model and the Cox-Aalen model are investigated. Penerbit Universiti Kebangsaan Malaysia 2017-03 Article PeerReviewed application/pdf en http://journalarticle.ukm.my/10718/1/15%20Aditif%20Aalen.pdf Başar, Emel (2017) Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data. Sains Malaysiana, 46 (3). pp. 469-476. ISSN 0126-6039 http://www.ukm.my/jsm/english_journals/vol46num3_2017/contentsVol46num3_2017.html
repository_type Digital Repository
institution_category Local University
institution Universiti Kebangasaan Malaysia
building UKM Institutional Repository
collection Online Access
language English
description The Cox proportional hazards model is most widely used in survival analysis for modeling censored survival data. In this model, the effect of the covariates is assumed to act multiplicatively on the baseline hazard rate and the ratio of the hazards is constant over survival time. This is an important assumption and sometimes may not hold in some survival studies. The Cox model can lead to biased results when the proportionality assumption is not satisfied. In such a situation, the additive hazards regression models have been an alternative to proportional hazards models. The Aalen model allows for time-varying covariate effects. In some situations, some covariate effects may be constant but the others may not. In such cases, the Cox-Aalen model is a better alternative since it allows to combine both kinds of covariates in the same model. In this study the Cox proportional hazards model, Aalen’s additive hazards model and the Cox-Aalen model have been considered. These models have been applied to kidney transplant data and the differences in estimates of the unknown parameters obtained by the Aalen’s model, the Cox model and the Cox-Aalen model are investigated.
format Article
author Başar, Emel
spellingShingle Başar, Emel
Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data
author_facet Başar, Emel
author_sort Başar, Emel
title Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data
title_short Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data
title_full Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data
title_fullStr Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data
title_full_unstemmed Aalen’s additive, Cox proportional hazards and the Cox-Aalen model: application to kidney transplant data
title_sort aalen’s additive, cox proportional hazards and the cox-aalen model: application to kidney transplant data
publisher Penerbit Universiti Kebangsaan Malaysia
publishDate 2017
url http://journalarticle.ukm.my/10718/
http://journalarticle.ukm.my/10718/
http://journalarticle.ukm.my/10718/1/15%20Aditif%20Aalen.pdf
first_indexed 2023-09-18T19:58:16Z
last_indexed 2023-09-18T19:58:16Z
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