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Article: Model checking for additive hazards model with multivariate survival data
Title | Model checking for additive hazards model with multivariate survival data |
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Authors | |
Keywords | Cumulative sum Marginal model Martingale residual Multivariate failure time data Parallel hazards Score process |
Issue Date | 2007 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmva |
Citation | Journal Of Multivariate Analysis, 2007, v. 98 n. 5, p. 1018-1032 How to Cite? |
Abstract | Multivariate failure time data often arise in biomedical studies due to natural or artificial clustering. With appropriate adjustment for the underlying correlation, the marginal additive hazards model characterizes the hazard difference via a linear link function between the hazard and covariates. We propose a class of graphical and numerical methods to assess the overall fitting adequacy of the marginal additive hazards model. The test statistics are based on the supremum of the stochastic processes derived from the cumulative sum of the martingale-based residuals over time and/or covariates. The distribution of the stochastic process can be approximated through a simulation technique. The proposed tests examine how unusual the observed stochastic process is, compared to a large number of realizations from the approximated process. This class of tests is very general and suitable for various purposes of model fitting evaluation. Simulation studies are conducted to examine the finite sample performance, and the model-checking methods are illustrated with data from an otitis media study. © 2006 Elsevier Inc. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/146580 |
ISSN | 2023 Impact Factor: 1.4 2023 SCImago Journal Rankings: 0.837 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Yin, G | en_HK |
dc.date.accessioned | 2012-05-02T08:37:10Z | - |
dc.date.available | 2012-05-02T08:37:10Z | - |
dc.date.issued | 2007 | en_HK |
dc.identifier.citation | Journal Of Multivariate Analysis, 2007, v. 98 n. 5, p. 1018-1032 | en_HK |
dc.identifier.issn | 0047-259X | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/146580 | - |
dc.description.abstract | Multivariate failure time data often arise in biomedical studies due to natural or artificial clustering. With appropriate adjustment for the underlying correlation, the marginal additive hazards model characterizes the hazard difference via a linear link function between the hazard and covariates. We propose a class of graphical and numerical methods to assess the overall fitting adequacy of the marginal additive hazards model. The test statistics are based on the supremum of the stochastic processes derived from the cumulative sum of the martingale-based residuals over time and/or covariates. The distribution of the stochastic process can be approximated through a simulation technique. The proposed tests examine how unusual the observed stochastic process is, compared to a large number of realizations from the approximated process. This class of tests is very general and suitable for various purposes of model fitting evaluation. Simulation studies are conducted to examine the finite sample performance, and the model-checking methods are illustrated with data from an otitis media study. © 2006 Elsevier Inc. All rights reserved. | en_HK |
dc.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/jmva | en_HK |
dc.relation.ispartof | Journal of Multivariate Analysis | en_HK |
dc.subject | Cumulative sum | en_HK |
dc.subject | Marginal model | en_HK |
dc.subject | Martingale residual | en_HK |
dc.subject | Multivariate failure time data | en_HK |
dc.subject | Parallel hazards | en_HK |
dc.subject | Score process | en_HK |
dc.title | Model checking for additive hazards model with multivariate survival data | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Yin, G: gyin@hku.hk | en_HK |
dc.identifier.authority | Yin, G=rp00831 | en_HK |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1016/j.jmva.2006.02.005 | en_HK |
dc.identifier.scopus | eid_2-s2.0-33947145671 | en_HK |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-33947145671&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 98 | en_HK |
dc.identifier.issue | 5 | en_HK |
dc.identifier.spage | 1018 | en_HK |
dc.identifier.epage | 1032 | en_HK |
dc.identifier.isi | WOS:000246002900009 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Yin, G=8725807500 | en_HK |
dc.identifier.issnl | 0047-259X | - |