{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T00:39:45Z","timestamp":1725410385610},"reference-count":4,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,1,6]],"date-time":"2011-01-06T00:00:00Z","timestamp":1294272000000},"content-version":"vor","delay-in-days":0,"URL":"http:\/\/onlinelibrary.wiley.com\/termsAndConditions#vor"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Quality & Reliability Eng"],"published-print":{"date-parts":[[2011,2]]},"abstract":"Abstract<\/jats:title>Most two\u2010level fractional factorial designs used in practice involve independent or fully confounded effects (so\u2010called regular designs). For example, for 16 runs and 6 factors, the classical resolution IV design with defining relation I = ABCE = BCDF = ADEF has become the de facto<\/jats:italic> gold standard. Recent work has indicated that non\u2010regular orthogonal designs could be preferable in some circumstances. Inhibiting a wider usage of these non\u2010regular designs seems to be a combination of inertia\/status quo and perhaps the general resistance and suspicion to designs that are computer generated to achieve \u2018X<\/jats:italic>\u2013Y<\/jats:italic>\u2013Z<\/jats:italic>\u2019 optimality. In this paper each of the orthogonal non\u2010isomorphic two\u2010level, 16 run designs with 6, 7, or 8 factors (both regular and non\u2010regular) are shown to have a classical\u2010type construction with a 24<\/jats:sup> or a replicated 23<\/jats:sup> starting point. Additional factor columns are defined either using the familiar one\u2010term column generators or generators using weighted sums of effects. Copyright \u00a9 2010 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/qre.1170","type":"journal-article","created":{"date-parts":[[2011,1,6]],"date-time":"2011-01-06T09:47:44Z","timestamp":1294307264000},"page":"61-70","source":"Crossref","is-referenced-by-count":6,"title":["Classical design structure of orthogonal designs with six to eight factors and sixteen runs"],"prefix":"10.1002","volume":"27","author":[{"given":"Mark E.","family":"Johnson","sequence":"first","affiliation":[]},{"given":"Bradley","family":"Jones","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2011,1,6]]},"reference":[{"key":"e_1_2_12_2_2","doi-asserted-by":"publisher","DOI":"10.1504\/IJEDPO.2010.034986"},{"key":"e_1_2_12_3_2","doi-asserted-by":"publisher","DOI":"10.1198\/004017007000000100"},{"key":"e_1_2_12_4_2","volume-title":"Design and Analysis of Experiments","author":"Montgomery DC","year":"2009"},{"key":"e_1_2_12_5_2","unstructured":"SunDX LiW YeKQ.An algorithm for sequentially constructing non\u2010isomorphic orthogonal designs and its applications. Technical Report SUNYSB\u2010AMS\u201002\u201013 Department of Applied Mathematics and Statistics State University of New York at Stony Brook 2002."}],"container-title":["Quality and Reliability Engineering International"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fqre.1170","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fqre.1170","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.1170","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,30]],"date-time":"2023-10-30T23:10:56Z","timestamp":1698707456000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/qre.1170"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,1,6]]},"references-count":4,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2011,2]]}},"alternative-id":["10.1002\/qre.1170"],"URL":"https:\/\/doi.org\/10.1002\/qre.1170","archive":["Portico"],"relation":{},"ISSN":["0748-8017","1099-1638"],"issn-type":[{"value":"0748-8017","type":"print"},{"value":"1099-1638","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,1,6]]}}}