{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T20:57:23Z","timestamp":1773867443045,"version":"3.50.1"},"reference-count":0,"publisher":"Oxford University Press (OUP)","issue":"3","license":[{"start":{"date-parts":[[1997,9,1]],"date-time":"1997-09-01T00:00:00Z","timestamp":873072000000},"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":[[1997,9,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>In some applications it is cost efficient to sample data in two or more stages. In the first stage a simple random sample is drawn and then stratified according to some easily measured attribute. In each subsequent stage a random subset of previously selected units is sampled for more detailed and costly observation, with a unit\u2019s sampling probability determined by its attributes as observed in the previous stages. This paper describes multistage sampling designs and estimating equations based on the resulting data. Maximum likelihood estimates (MLEs) and their asymptotic variances are given for designs using parametric models. Horvitz\u2013Thompson estimates are introduced as alternatives to MLEs, their asymptotic distributions are derived and their strengths and weaknesses are evaluated. The designs and the estimates are illustrated with data on corn production.<\/jats:p>","DOI":"10.1111\/1467-9868.00084","type":"journal-article","created":{"date-parts":[[2003,3,12]],"date-time":"2003-03-12T19:34:29Z","timestamp":1047497669000},"page":"589-602","source":"Crossref","is-referenced-by-count":36,"title":["Multistage Sampling Designs and Estimating Equations"],"prefix":"10.1093","volume":"59","author":[{"given":"Alice S.","family":"Whittemore","sequence":"first","affiliation":[{"name":"Stanford University , USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"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%2F1467-9868.00084","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1111%2F1467-9868.00084","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/59\/3\/589\/49588948\/jrsssb_59_3_589.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/59\/3\/589\/49588948\/jrsssb_59_3_589.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T05:19:59Z","timestamp":1679462399000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/59\/3\/589\/7083074"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,9,1]]},"references-count":0,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2002,1,6]]},"published-print":{"date-parts":[[1997,9,1]]}},"URL":"https:\/\/doi.org\/10.1111\/1467-9868.00084","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"value":"1369-7412","type":"print"},{"value":"1467-9868","type":"electronic"}],"subject":[],"published-other":{"date-parts":[[1997,9]]},"published":{"date-parts":[[1997,9,1]]}}}