{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,8]],"date-time":"2026-10-08T04:12:41Z","timestamp":1791432761683,"version":"4.3.3"},"reference-count":43,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[2020,5,4]],"date-time":"2020-05-04T00:00:00Z","timestamp":1588550400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"funder":[{"name":"Mayo Clinic-UIUC Alliance"},{"DOI":"10.13039\/100000002","name":"National Institutes of Health","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000002","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2020,9,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>Mediation analysis is difficult when the number of potential mediators is larger than the sample size. In this paper we propose new inference procedures for the indirect effect in the presence of high-dimensional mediators for linear mediation models. We develop methods for both incomplete mediation, where a direct effect may exist, and complete mediation, where the direct effect is known to be absent. We prove consistency and asymptotic normality of our indirect effect estimators. Under complete mediation, where the indirect effect is equivalent to the total effect, we further prove that our approach gives a more powerful test compared to directly testing for the total effect. We confirm our theoretical results in simulations, as well as in an integrative analysis of gene expression and genotype data from a pharmacogenomic study of drug response. We present a novel analysis of gene sets to understand the molecular mechanisms of drug response, and also identify a genome-wide significant noncoding genetic variant that cannot be detected using standard analysis methods.<\/jats:p>","DOI":"10.1093\/biomet\/asaa016","type":"journal-article","created":{"date-parts":[[2020,2,18]],"date-time":"2020-02-18T20:12:41Z","timestamp":1582056761000},"page":"573-589","source":"Crossref","is-referenced-by-count":52,"title":["Estimation and inference for the indirect effect in high-dimensional linear mediation models"],"prefix":"10.1093","volume":"107","author":[{"given":"Ruixuan Rachel","family":"Zhou","sequence":"first","affiliation":[{"name":"Department of Statistics, University of Illinois at Urbana-Champaign, 725 S. Wright Street, Champaign, Illinois 61820, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liewei","family":"Wang","sequence":"additional","affiliation":[{"name":"Division of Clinical Pharmacology, Department of Molecular Pharmacology and Experimental Therapeutics, Mayo Clinic, 200 First St. SW, Rochester, Minnesota 55905, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Sihai Dave","family":"Zhao","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of Illinois at Urbana-Champaign, 725 S. Wright Street, Champaign, Illinois 61820, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2020,5,4]]},"reference":[{"key":"2021050400063785700_B1","author":"Athey,","year":"2020","journal-title":"Estimating treatment effects using multiple surrogates: The role of the surrogate score and the surrogate index"},{"key":"2021050400063785700_B2","doi-asserted-by":"crossref","first-page":"597","DOI":"10.1111\/rssb.12268","article-title":"Approximate residual balancing: Debiased inference of average treatment effects in high dimensions","volume":"80","author":"Athey,","year":"2018","journal-title":"J. R. Statist. Soc."},{"key":"2021050400063785700_B3","doi-asserted-by":"crossref","first-page":"824","DOI":"10.1002\/gepi.22084","article-title":"Testing for the indirect effect under the null for genome-wide mediation analyses","volume":"41","author":"Barfield,","year":"2017","journal-title":"Genet. 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