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- Publisher Website: 10.1002/sim.8491
- Scopus: eid_2-s2.0-85079191907
- PMID: 32034921
- WOS: WOS:000511655900001
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Article: Testing for change‐point in the covariate effects based on the Cox regression model
Title | Testing for change‐point in the covariate effects based on the Cox regression model |
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Authors | |
Keywords | asymptotic properties change‐point model Cox regression model Monte Carlo method score test |
Issue Date | 2020 |
Publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/0277-6715/ |
Citation | Statistics in Medicine, 2020, v. 39 n. 10, p. 1473-1488 How to Cite? |
Abstract | Models with change-point in covariates have wide applications in cancer research with the response being the time to a certain event. A Cox model with change-point in covariate is considered at which the pattern of the change-point effects can be flexibly specified. To test for the existence of the change-point effects, three statistical tests, namely, the maximal score, maximal normalized score, and maximal Wald tests are proposed. The asymptotic properties of the test statistics are established. Monte Carlo approaches to simulate the critical values are suggested. A large-scale simulation study is carried out to study the finite sample performance of the proposed test statistics under the null hypothesis of no change-points and various alternative hypothesis settings. Each of the proposed methods provides a natural estimate for the location of the change-point, but it is found that the performance of the maximal score test can be sensitive to the true location of the change-point in some cases, while the performance of the maximal Wald test is very satisfactory in general even in cases with moderate sample size. For illustration, the proposed methods are applied to two medical datasets concerning patients with primary biliary cirrhosis and breast cancer, respectively. |
Persistent Identifier | http://hdl.handle.net/10722/287596 |
ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 1.348 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | LEE, CY | - |
dc.contributor.author | Chen, X | - |
dc.contributor.author | Lam, KF | - |
dc.date.accessioned | 2020-10-05T12:00:23Z | - |
dc.date.available | 2020-10-05T12:00:23Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Statistics in Medicine, 2020, v. 39 n. 10, p. 1473-1488 | - |
dc.identifier.issn | 0277-6715 | - |
dc.identifier.uri | http://hdl.handle.net/10722/287596 | - |
dc.description.abstract | Models with change-point in covariates have wide applications in cancer research with the response being the time to a certain event. A Cox model with change-point in covariate is considered at which the pattern of the change-point effects can be flexibly specified. To test for the existence of the change-point effects, three statistical tests, namely, the maximal score, maximal normalized score, and maximal Wald tests are proposed. The asymptotic properties of the test statistics are established. Monte Carlo approaches to simulate the critical values are suggested. A large-scale simulation study is carried out to study the finite sample performance of the proposed test statistics under the null hypothesis of no change-points and various alternative hypothesis settings. Each of the proposed methods provides a natural estimate for the location of the change-point, but it is found that the performance of the maximal score test can be sensitive to the true location of the change-point in some cases, while the performance of the maximal Wald test is very satisfactory in general even in cases with moderate sample size. For illustration, the proposed methods are applied to two medical datasets concerning patients with primary biliary cirrhosis and breast cancer, respectively. | - |
dc.language | eng | - |
dc.publisher | John Wiley & Sons Ltd. The Journal's web site is located at http://www.interscience.wiley.com/jpages/0277-6715/ | - |
dc.relation.ispartof | Statistics in Medicine | - |
dc.rights | Preprint This is the pre-peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. Postprint This is the peer reviewed version of the following article: [FULL CITE], which has been published in final form at [Link to final article using the DOI]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. | - |
dc.subject | asymptotic properties | - |
dc.subject | change‐point model | - |
dc.subject | Cox regression model | - |
dc.subject | Monte Carlo method | - |
dc.subject | score test | - |
dc.title | Testing for change‐point in the covariate effects based on the Cox regression model | - |
dc.type | Article | - |
dc.identifier.email | Lam, KF: hrntlkf@hkucc.hku.hk | - |
dc.identifier.authority | Lam, KF=rp00718 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1002/sim.8491 | - |
dc.identifier.pmid | 32034921 | - |
dc.identifier.scopus | eid_2-s2.0-85079191907 | - |
dc.identifier.hkuros | 314784 | - |
dc.identifier.volume | 39 | - |
dc.identifier.issue | 10 | - |
dc.identifier.spage | 1473 | - |
dc.identifier.epage | 1488 | - |
dc.identifier.isi | WOS:000511655900001 | - |
dc.publisher.place | United Kingdom | - |
dc.identifier.issnl | 0277-6715 | - |