{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,10]],"date-time":"2024-09-10T00:06:26Z","timestamp":1725926786716},"reference-count":1,"publisher":"Oxford University Press (OUP)","issue":"2","license":[{"start":{"date-parts":[[1973,1,1]],"date-time":"1973-01-01T00:00:00Z","timestamp":94694400000},"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":[[1973,1,1]]},"abstract":"<jats:title>Summary<\/jats:title>\n               <jats:p>In a non-singular bivariate Gaussian distribution the regression curve of y on x has smaller slope (measured by dy\/dx) than the regression curve of x on y. Calling this the standard position and defining in a fairly obvious way a \u201cclear-cut reversal\u201d of it, we show that, for a distribution whose mean exists, such a reversal is impossible overall if the curves cross only once, and impossible at the extremities if the curves interlace in a more complicated way. Examples are given of distributions in which a \u2018reversed\u2019 configuration is found in a central portion of the range, and of pathological distributions (having no mean) with a reversed configuration everywhere.<\/jats:p>\n               <jats:p>Some extensions to the trivariate case are indicated.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1973.tb00961.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T07:00:49Z","timestamp":1544166049000},"page":"316-322","source":"Crossref","is-referenced-by-count":1,"title":["The Relative Position of the Two Regression Curves"],"prefix":"10.1093","volume":"35","author":[{"given":"H. M.","family":"Finucan","sequence":"first","affiliation":[{"name":"University of Queensland \u00a0 Australia"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"volume-title":"Mathematical Statistics, a Decision Theoretic Approach.","year":"1967","author":"Ferguson","key":"2024090920473457800_rssb00961-cit-0001"}],"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%2Fj.2517-6161.1973.tb00961.x","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/35\/2\/316\/49096191\/jrsssb_35_2_316.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/academic.oup.com\/jrsssb\/article-pdf\/35\/2\/316\/49096191\/jrsssb_35_2_316.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,9,9]],"date-time":"2024-09-09T21:04:04Z","timestamp":1725915844000},"score":1,"resource":{"primary":{"URL":"https:\/\/academic.oup.com\/jrsssb\/article\/35\/2\/316\/7027255"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1973,1,1]]},"references-count":1,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2018,12,5]]},"published-print":{"date-parts":[[1973,1,1]]}},"URL":"https:\/\/doi.org\/10.1111\/j.2517-6161.1973.tb00961.x","relation":{},"ISSN":["1369-7412","1467-9868"],"issn-type":[{"type":"print","value":"1369-7412"},{"type":"electronic","value":"1467-9868"}],"subject":[],"published-other":{"date-parts":[[1973,1]]},"published":{"date-parts":[[1973,1,1]]}}}