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However, linkage errors are usually unavoidable, regardless of record linkage methods, and ignoring these errors may lead to biased estimates. While different methods have been developed to deal with the linkage errors in the generalized linear model, there is not much interest on Cox regression model, although this is one of the most important statistical models in clinical and epidemiological research. In this work, we propose an adjusted estimating equation for secondary Cox regression analysis, where linked data have been prepared by a third\u2010party operator, and no information on matching variables is available to the analyst. Through a Monte Carlo simulation study, the proposed method is shown to lead to substantial bias reductions in the estimation of the parameters of the Cox model caused by false links. An asymptotically unbiased variance estimator for the adjusted estimators of Cox regression coefficients is also proposed. Finally, the proposed method is applied to a linked database from the Brest stroke registry in France.<\/jats:p>","DOI":"10.1002\/sim.9960","type":"journal-article","created":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T22:58:17Z","timestamp":1700607497000},"page":"296-314","update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Cox regression with linked data"],"prefix":"10.1002","volume":"43","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-8764-9256","authenticated-orcid":false,"given":"Thanh Huan","family":"Vo","sequence":"first","affiliation":[{"name":"Univ Rennes, INSA, CNRS, IRMAR\u2013UMR 6625 Rennes France"},{"name":"IRT b&lt;&gt;com Laboratoire IA Rennes France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Val\u00e9rie","family":"Gar\u00e8s","sequence":"additional","affiliation":[{"name":"Univ Rennes, INSA, CNRS, IRMAR\u2013UMR 6625 Rennes France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li\u2010Chun","family":"Zhang","sequence":"additional","affiliation":[{"name":"Department of Social Statistics and Demography University of Southampton Southampton UK"},{"name":"Statistics Norway Oslo Norway"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Andr\u00e9","family":"Happe","sequence":"additional","affiliation":[{"name":"Univ Rennes, EA 7449 REPERES Rennes France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emmanuel","family":"Oger","sequence":"additional","affiliation":[{"name":"Univ Rennes, EA 7449 REPERES Rennes France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"St\u00e9phane","family":"Paquelet","sequence":"additional","affiliation":[{"name":"IRT b&lt;&gt;com Laboratoire IA Rennes France"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guillaume","family":"Chauvet","sequence":"additional","affiliation":[{"name":"Univ Rennes, ENSAI, CNRS, IRMAR\u2013UMR 6625 Rennes France"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2023,11,20]]},"reference":[{"key":"e_1_2_7_2_1","doi-asserted-by":"publisher","DOI":"10.1371\/journal.pone.0164667"},{"key":"e_1_2_7_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10654-018-0442-4"},{"key":"e_1_2_7_4_1","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-8462.2011.00673.x"},{"key":"e_1_2_7_5_1","volume-title":"An Application of the Fellegi\u2010Sunter Model of Record Linkage to the 1990 U.S","author":"Winkler W","year":"1987"},{"key":"e_1_2_7_6_1","volume-title":"Data Quality and Record Linkage Techniques","author":"Herzog T","year":"2007"},{"key":"e_1_2_7_7_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-31164-2"},{"key":"e_1_2_7_8_1","doi-asserted-by":"publisher","DOI":"10.1080\/01621459.1969.10501049"},{"key":"e_1_2_7_9_1","unstructured":"WinklerWE.Using the EM algorithm for weight computation in the Fellegi\u2010Sunter model of record linkage. 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