Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus

There are several statistical methods for time-to-event analysis, among which is the Cox proportional hazards model that is most commonly used. However, when the absolute change in risk, instead of the risk ratio, is of primary interest or when the proportional hazard assumption for the Cox proporti...

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Main Authors: Xie, Xianhong, Strickler, Howard D., Xue, Xiaonan
Format: Online
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3569891/
id pubmed-3569891
recordtype oai_dc
spelling pubmed-35698912013-02-19 Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus Xie, Xianhong Strickler, Howard D. Xue, Xiaonan Research Article There are several statistical methods for time-to-event analysis, among which is the Cox proportional hazards model that is most commonly used. However, when the absolute change in risk, instead of the risk ratio, is of primary interest or when the proportional hazard assumption for the Cox proportional hazards model is violated, an additive hazard regression model may be more appropriate. In this paper, we give an overview of this approach and then apply a semiparametric as well as a nonparametric additive model to a data set from a study of the natural history of human papillomavirus (HPV) in HIV-positive and HIV-negative women. The results from the semiparametric model indicated on average an additional 14 oncogenic HPV infections per 100 woman-years related to CD4 count < 200 relative to HIV-negative women, and those from the nonparametric additive model showed an additional 40 oncogenic HPV infections per 100 women over 5 years of followup, while the estimated hazard ratio in the Cox model was 3.82. Although the Cox model can provide a better understanding of the exposure disease association, the additive model is often more useful for public health planning and intervention. Hindawi Publishing Corporation 2013 2013-01-28 /pmc/articles/PMC3569891/ /pubmed/23424606 http://dx.doi.org/10.1155/2013/796270 Text en Copyright © 2013 Xianhong Xie et al. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
repository_type Open Access Journal
institution_category Foreign Institution
institution US National Center for Biotechnology Information
building NCBI PubMed
collection Online Access
language English
format Online
author Xie, Xianhong
Strickler, Howard D.
Xue, Xiaonan
spellingShingle Xie, Xianhong
Strickler, Howard D.
Xue, Xiaonan
Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus
author_facet Xie, Xianhong
Strickler, Howard D.
Xue, Xiaonan
author_sort Xie, Xianhong
title Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus
title_short Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus
title_full Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus
title_fullStr Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus
title_full_unstemmed Additive Hazard Regression Models: An Application to the Natural History of Human Papillomavirus
title_sort additive hazard regression models: an application to the natural history of human papillomavirus
description There are several statistical methods for time-to-event analysis, among which is the Cox proportional hazards model that is most commonly used. However, when the absolute change in risk, instead of the risk ratio, is of primary interest or when the proportional hazard assumption for the Cox proportional hazards model is violated, an additive hazard regression model may be more appropriate. In this paper, we give an overview of this approach and then apply a semiparametric as well as a nonparametric additive model to a data set from a study of the natural history of human papillomavirus (HPV) in HIV-positive and HIV-negative women. The results from the semiparametric model indicated on average an additional 14 oncogenic HPV infections per 100 woman-years related to CD4 count < 200 relative to HIV-negative women, and those from the nonparametric additive model showed an additional 40 oncogenic HPV infections per 100 women over 5 years of followup, while the estimated hazard ratio in the Cox model was 3.82. Although the Cox model can provide a better understanding of the exposure disease association, the additive model is often more useful for public health planning and intervention.
publisher Hindawi Publishing Corporation
publishDate 2013
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3569891/
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