{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:40:06Z","timestamp":1723128006478},"reference-count":0,"publisher":"Informa UK Limited","issue":"2","license":[{"start":{"date-parts":[[1997,1,1]],"date-time":"1997-01-01T00:00:00Z","timestamp":852076800000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics and Decision Sciences"],"published-print":{"date-parts":[[1997,1,1]]},"abstract":"<jats:p>The concept of the multirelation coefficient is defined to describe the closeness of a set of variables to a linear relation. This concept extends the linear correlation between two variables to two or more variables. Parameters of a beta distribution are determined that are utilized to approximate significance levels of the multirelation coefficient for any given number of observations and variables. A generalized Student <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"$t$\"><mml:mi>t<\/mml:mi><\/mml:math> distribution is defined. This distribution, which is termed the multirelated <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"$t$\"><mml:mi>t<\/mml:mi><\/mml:math> distribution, reduces to the Student <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" alttext=\"$t$\"><mml:mi>t<\/mml:mi><\/mml:math> distribution for two variables. It is useful in the determination of the significance level of the multirelation coefficient.<\/jats:p>","DOI":"10.1155\/s1173912697000114","type":"journal-article","created":{"date-parts":[[2007,3,8]],"date-time":"2007-03-08T07:44:28Z","timestamp":1173339868000},"page":"119-130","source":"Crossref","is-referenced-by-count":6,"title":["On the significance level of the multirelation coefficient"],"prefix":"10.1080","volume":"1","author":[{"given":"Roger","family":"Dear","sequence":"first","affiliation":[{"name":"Department of Management Science\/Information Systems, California State University-Fullerton, Fullerton 92834, CA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zvi","family":"Drezner","sequence":"additional","affiliation":[{"name":"Department of Management Science\/Information Systems, California State University-Fullerton, Fullerton 92834, CA, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"301","container-title":["Journal of Applied Mathematics and Decision Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/archive\/1997\/630494.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/archive\/1997\/630494.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,8,8]],"date-time":"2024-08-08T14:22:52Z","timestamp":1723126972000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ads\/1997\/630494\/abs\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1997,1,1]]},"references-count":0,"journal-issue":{"issue":"2","published-print":{"date-parts":[[1997,1,1]]}},"alternative-id":["630494"],"URL":"https:\/\/doi.org\/10.1155\/s1173912697000114","relation":{},"ISSN":["1173-9126"],"issn-type":[{"type":"print","value":"1173-9126"}],"subject":[],"published":{"date-parts":[[1997,1,1]]}}}