{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,31]],"date-time":"2025-12-31T15:01:02Z","timestamp":1767193262181},"reference-count":28,"publisher":"Wiley","issue":"21","license":[{"start":{"date-parts":[[2012,6,19]],"date-time":"2012-06-19T00:00:00Z","timestamp":1340064000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"},{"start":{"date-parts":[[2015,9,1]],"date-time":"2015-09-01T00:00:00Z","timestamp":1441065600000},"content-version":"tdm","delay-in-days":1169,"URL":"http:\/\/doi.wiley.com\/10.1002\/tdm_license_1.1"}],"content-domain":{"domain":["wiley.com"],"crossmark-restriction":true},"short-container-title":["Statistics in Medicine"],"published-print":{"date-parts":[[2012,9,20]]},"abstract":"<jats:p>Statistical approaches for estimating and drawing inference on the correlation between two biomarkers that are repeatedly assessed over time and subject to left\u2010censoring because minimum detection levels are lacking. We propose a linear mixed\u2010effects model and estimate the parameters with the Monte Carlo expectation maximization (MCEM) method. Inferences regarding the model parameters and the correlation between the biomarkers are performed by applying Louis's method and the delta method. Simulation studies were conducted to compare the proposed MCEM method with existing methods including the maximum likelihood estimation method, the multiple imputation method, and two widely used ad hoc approaches: replacing the censored values with the detection limit or with half of the detection limit. The results show that the performance of the MCEM with respect to relative bias and coverage probability for the 95% confidence interval is superior to the detection limit and half of the detection limit approaches and exceeds that of the multiple imputation method at medium to high levels of censoring, and the standard error estimates from the MCEM method are close to ideal. The maximum likelihood estimation method can estimate the parameters accurately; however, a nonpositive definite information matrix can occur so that the variances are not estimable. These five methods are illustrated with data from a longitudinal human immunodeficiency virus study to estimate and draw inference on the correlation between human immunodeficiency virus RNA levels measured in plasma and in cervical secretions at multiple time points. Copyright \u00a9 2012 John Wiley &amp; Sons, Ltd.<\/jats:p>","DOI":"10.1002\/sim.5371","type":"journal-article","created":{"date-parts":[[2012,6,19]],"date-time":"2012-06-19T16:04:45Z","timestamp":1340121885000},"page":"2275-2289","update-policy":"http:\/\/dx.doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Estimation and inference on correlations between biomarkers with repeated measures and left\u2010censoring due to minimum detection levels"],"prefix":"10.1002","volume":"31","author":[{"given":"Xianhong","family":"Xie","sequence":"first","affiliation":[{"name":"Department of Epidemiology and Population Health Albert Einstein College of Medicine Bronx NY 10461 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiaonan","family":"Xue","sequence":"additional","affiliation":[{"name":"Department of Epidemiology and Population Health Albert Einstein College of Medicine Bronx NY 10461 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Stephen J.","family":"Gange","sequence":"additional","affiliation":[{"name":"Department of Epidemiology John Hopkins Bloomberg School of Public Health Baltimore MD 21205 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Howard D.","family":"Strickler","sequence":"additional","affiliation":[{"name":"Department of Epidemiology and Population Health Albert Einstein College of Medicine Bronx NY 10461 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mimi Y.","family":"Kim","sequence":"additional","affiliation":[{"name":"Department of Epidemiology and Population Health Albert Einstein College of Medicine Bronx NY 10461 USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"WIHS HPV","family":"Study\u2009Group","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2012,6,19]]},"reference":[{"key":"e_1_2_8_2_1","doi-asserted-by":"publisher","DOI":"10.1136\/bmj.308.6933.896"},{"key":"e_1_2_8_3_1","unstructured":"HamlettA RyanL WolfingerR.On the use of PROC MIXED to estimate correlation in the presence of repeated measures.Proceedings of the Twenty\u2010Ninth Annual SAS Users Group International Conference SAS Institute Inc. 2004. 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