{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,10,17]],"date-time":"2026-10-17T14:13:36Z","timestamp":1792246416438,"version":"4.4.0"},"reference-count":31,"publisher":"Oxford University Press (OUP)","issue":"4","license":[{"start":{"date-parts":[[2020,12,19]],"date-time":"2020-12-19T00:00:00Z","timestamp":1608336000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/academic.oup.com\/journals\/pages\/open_access\/funder_policies\/chorus\/standard_publication_model"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2021,11,15]]},"abstract":"<jats:title>Summary<\/jats:title>\n                  <jats:p>Randomized experiments have become important tools in empirical research. In a completely randomized treatment-control experiment, the simple difference in means of the outcome is un- biased for the average treatment effect, and covariate adjustment can further improve the efficiency without assuming a correctly specified outcome model. In modern applications, experimenters often have access to many covariates, motivating the need for a theory of covariate adjustment under the asymptotic regime with a diverging number of covariates. We study the asymptotic properties of covariate adjustment under the potential outcomes model and propose a bias-corrected estimator that is consistent and asymptotically normal under weaker conditions. Our theory is based purely on randomization without imposing any parametric outcome model assumptions. To prove the theoretical results, we develop novel vector and matrix concentration inequalities for sampling without replacement.<\/jats:p>","DOI":"10.1093\/biomet\/asaa103","type":"journal-article","created":{"date-parts":[[2020,11,30]],"date-time":"2020-11-30T23:17:43Z","timestamp":1606778263000},"page":"815-828","source":"Crossref","is-referenced-by-count":40,"title":["Regression adjustment in completely randomized experiments with a diverging number of covariates"],"prefix":"10.1093","volume":"108","author":[{"given":"Lihua","family":"Lei","sequence":"first","affiliation":[{"name":"Department of Statistics, Stanford University, 202 Sequoia Hall, 390 Serra Mall, Stanford, California 94305, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peng","family":"Ding","sequence":"additional","affiliation":[{"name":"Department of Statistics, University of California, Berkeley, 425 Evans Hall, Berkeley, California 94720, U.S.A"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2020,12,19]]},"reference":[{"key":"2021111803493828900_B1","doi-asserted-by":"crossref","first-page":"170","DOI":"10.1177\/0193841X13513025","article-title":"Covariance adjustments for the analysis of randomized field experiments","volume":"37","author":"Berk","year":"2013","journal-title":"Eval. 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