{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T06:14:12Z","timestamp":1788329652435,"version":"build-2803163510"},"reference-count":43,"publisher":"Wiley","issue":"5","license":[{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2026,9,1]],"date-time":"2026-09-01T00:00:00Z","timestamp":1788220800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Biometrical J"],"published-print":{"date-parts":[[2026,10]]},"abstract":"<jats:title>ABSTRACT<\/jats:title>\n                  <jats:p>Matched case\u2010control studies are commonly employed in epidemiological research for their convenience and efficiency. Analysis of secondary outcomes can yield valuable insights into biological pathways and help identify genetic variants of importance. Naive analysis using standard statistical methods, such as least\u2010squares regression for quantitative traits, can be misleading because they fail to account for unequal sampling induced by the case\u2010control design and matching. In this paper, we propose novel statistical methods that appropriately reflect the study design and sampling scheme in the analysis of secondary outcome data. The new methods provide consistent estimation and accurate coverage probabilities for the confidence interval estimators. We demonstrate the advantages of the new methods through simulation studies and a real application with diabetes patients. R code implementing the proposed methods is publicly\u00a0available.<\/jats:p>","DOI":"10.1002\/bimj.70163","type":"journal-article","created":{"date-parts":[[2026,9,2]],"date-time":"2026-09-02T05:34:07Z","timestamp":1788327247000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Likelihood Approach to Proper Analysis of Secondary Outcomes in Matched Case\u2010Control Studies"],"prefix":"10.1002","volume":"68","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-3596-1827","authenticated-orcid":false,"given":"Shanshan","family":"Liu","sequence":"first","affiliation":[{"name":"Department of Biostatistics and Bioinformatics George Washington University Washington, DC USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7304-9591","authenticated-orcid":false,"given":"Guoqing","family":"Diao","sequence":"additional","affiliation":[{"name":"Department of Biostatistics and Bioinformatics George Washington University Washington, DC USA"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"311","published-online":{"date-parts":[[2026,9,1]]},"reference":[{"issue":"10","key":"e_1_2_9_2_1","doi-asserted-by":"crossref","first-page":"781","DOI":"10.1038\/nrg1916","article-title":"A Tutorial on Statistical Methods for Population Association Studies","volume":"7","author":"Balding D. 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K.Cios J.DeShazo andB.Strack.2014. \u201cDiabetes 130\u2010US Hospitals for Years 1999\u20102008.\u201dUCI Machine Learning Repository.https:\/\/doi.org\/10.24432\/C5230J."},{"issue":"2","key":"e_1_2_9_10_1","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1111\/j.2517-6161.1972.tb00899.x","article-title":"Regression Models and Life\u2010Tables","volume":"34","author":"Cox D. 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