Evidence map›Paper›PMID 29955581›Full record

ArticleAnnals of translational medicine2018

Time-varying covariates and coefficients in Cox regression models.

Zhongheng Zhang, Jaakko Reinikainen, Kazeem Adedayo Adeleke, Marcel E Pieterse, Catharina G M Groothuis-Oudshoorn

Registry-linked trialAbstract readEditorial
In one paragraph

Article in Annals of translational medicine, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. It is linked to trial NCT06666647 (Ambulance and Helicopter Response Times in Danish Emergency Medical Services), which is not on this map. Cited by 416 papers, 3 of them syntheses that pooled it.

0numbers the graph read from it
0cells of the map it votes in
416citing papers in PubMed, 3 pooled it
–field-weighted citation impact
1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

NCT06666647 active not recruitingnot on this mapstarted 2025, after this paper: background citation

Ambulance and Helicopter Response Times in Danish Emergency Medical Services: Protocol for an Epidemiological Study. The AHRTEMIS Study

TypeobservationalSponsorPeter Martin HansenRan2025 to 2026Enrolled2,500,000ConditionsEmergency Medical Services, Response, Triage, Survival OutcomesArmsTreatment by ambulance or helicopter services with response times
3 · Its place in the literature

Who cites it

416 citing papers in PubMed, 3 syntheses or guidelines pooled it.

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356 more citing papers are in PubMed but not listed here.

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

5 authors.

Zhongheng ZhangDepartment of Emergency Medicine, Sir Run-Run Shaw Hospital, Zhejiang University School of Medicine, Hangzhou 310016, China.
Jaakko ReinikainenDepartment of Public Health Solutions, National Institute for Health and Welfare, Helsinki, Finland.
Kazeem Adedayo AdelekeDepartment of Mathematics, Obafemi Awolowo University, Nigeria.
Marcel E PieterseDepartment of Psychology, Health and Technology, Centre for eHealth & Well-being Research, University of Twente, Enschede, The Netherlands.
Catharina G M Groothuis-OudshoornDepartment of Health Technology and Services Research, University of Twente, Enschede, The Netherlands.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

Time-varying covariance occurs when a covariate changes over time during the follow-up period. Such variable can be analyzed with the Cox regression model to estimate its effect on survival time. For this it is essential to organize the data in a counting process style. In situations when the proportional hazards assumption of the Cox regression model does not hold, we say that the effect of the covariate is time-varying. The proportional hazards assumption can be tested by examining the residuals of the model. The rejection of the null hypothesis induces the use of time varying coefficient to describe the data. The time varying coefficient can be described with a step function or a parametric time function. This article aims to illustrate how to carry out statistical analyses in the presence of time-varying covariates or coefficients with R.

Indexed as

Cox proportional hazardsSchoenfeld residualstime dependenttime-to-eventtime varying

Identifiers

PMID29955581
PMCPMC6015946

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Registered trials

Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.