{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,7]],"date-time":"2026-07-07T16:26:48Z","timestamp":1783441608035,"version":"3.54.6"},"reference-count":0,"publisher":"Oxford University Press (OUP)","issue":"1","license":[{"start":{"date-parts":[[1998,1,1]],"date-time":"1998-01-01T00:00:00Z","timestamp":883612800000},"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":[[1998,1,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>The weighted least squares (WLS) estimator is often employed in linear regression using complex survey data to deal with the bias in ordinary least squares (OLS) arising from informative sampling. In this paper a \u2018quasi-Aitken WLS\u2019 (QWLS) estimator is proposed. QWLS modifies WLS in the same way that Cragg\u2019s quasi-Aitken estimator modifies OLS. It weights by the usual inverse sample inclusion probability weights multiplied by a parameterized function of covariates, where the parameters are chosen to minimize a variance criterion. The resulting estimator is consistent for the superpopulation regression coefficient under fairly mild conditions and has a smaller asymptotic variance than WLS.<\/jats:p>","DOI":"10.1111\/1467-9868.00112","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T19:34:45Z","timestamp":1047497685000},"page":"115-126","source":"Crossref","is-referenced-by-count":30,"title":["Improving Survey-weighted Least Squares Regression"],"prefix":"10.1093","volume":"60","author":[{"given":"Lonnie","family":"Magee","sequence":"first","affiliation":[{"name":"McMaster University , Hamilton , Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2002,1,6]]},"container-title":["Journal of the Royal Statistical Society Series B: Statistical Methodology"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00112","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00112","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/60\/1\/115\/49589031\/jrsssb_60_1_115.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/60\/1\/115\/49589031\/jrsssb_60_1_115.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T05:21:16Z","timestamp":1679462476000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/60\/1\/115\/7083098"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,1,1]]},"references-count":0,"journal-issue":{"issue":"1","published-online":{"date-parts":[[2002,1,6]]},"published-print":{"date-parts":[[1998,1,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00112","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[1998,1]]},"published":{"date-parts":[[1998,1,1]]}}}