{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,17]],"date-time":"2024-06-17T17:51:28Z","timestamp":1718646688381},"reference-count":22,"publisher":"Wiley","issue":"6","license":[{"start":{"date-parts":[[2009,10,19]],"date-time":"2009-10-19T00:00:00Z","timestamp":1255910400000},"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":[[2010,10]]},"abstract":"Abstract<\/jats:title>Orthogonal arrays (OA's) are widely used in design of experiments. Each OA has a specific number of rows that is fixed by the number of factors in the OA and the number of levels in each factor. In a practical application of an industrial experiment, however, because of various operational constraints it could happen that the number of runs of the experiment cannot be set exactly equal to the number of rows of an OA. In this case, a lean design can be used. A lean design is obtained by removing some specific rows and columns from the extended design matrix formed from an OA, so that the resulting sub\u2010matrix still allows efficient estimation of the effects of some of the factors. Tables for 2\u2010level lean designs are already available in the literature. In this paper, the authors will investigate 3\u2010level lean designs and mixed\u2010level lean designs, and construct tables for such designs for convenient use. Copyright \u00a9 2009 John Wiley & Sons, Ltd.<\/jats:p>","DOI":"10.1002\/qre.1072","type":"journal-article","created":{"date-parts":[[2009,10,19]],"date-time":"2009-10-19T15:35:48Z","timestamp":1255966548000},"page":"529-539","source":"Crossref","is-referenced-by-count":4,"title":["Three\u2010level and mixed\u2010level orthogonal arrays for lean designs"],"prefix":"10.1002","volume":"26","author":[{"given":"Chang\u2010Xing","family":"Ma","sequence":"first","affiliation":[]},{"given":"Ming\u2010Yao","family":"Ai","sequence":"additional","affiliation":[]},{"given":"L. Y.","family":"Chan","sequence":"additional","affiliation":[]},{"given":"T. N.","family":"Goh","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2009,10,19]]},"reference":[{"key":"e_1_2_1_2_2","first-page":"128","article-title":"Factorial experiments derivable from combinatorial arrangements of arrays","volume":"9","author":"Rao CR","year":"1947","journal-title":"Journal of the Royal Statistical Society, Series B"},{"key":"e_1_2_1_3_2","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-7204-2262-7.50034-X"},{"key":"e_1_2_1_4_2","doi-asserted-by":"publisher","DOI":"10.1002\/qre.839"},{"key":"e_1_2_1_5_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ress.2005.11.024"},{"key":"e_1_2_1_6_2","doi-asserted-by":"publisher","DOI":"10.1002\/9780470316986"},{"key":"e_1_2_1_7_2","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-1478-6"},{"key":"e_1_2_1_8_2","volume-title":"Experiments: Planning, Analysis, and Parameter Design Optimization","author":"Wu CFJ","year":"2000"},{"key":"e_1_2_1_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.ecoenv.2007.03.011"},{"key":"e_1_2_1_10_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmatprotec.2007.03.051"},{"key":"e_1_2_1_11_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.matdes.2004.09.029"},{"key":"e_1_2_1_12_2","doi-asserted-by":"publisher","DOI":"10.1198\/004017004000000653"},{"key":"e_1_2_1_13_2","doi-asserted-by":"publisher","DOI":"10.1080\/00224065.2004.11980287"},{"key":"e_1_2_1_14_2","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1638(199609)12:5<383::AID-QRE51>3.0.CO;2-8"},{"issue":"2","key":"e_1_2_1_15_2","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1080\/00224065.2003.11980202","article-title":"Orthogonal arrays for experiments with lean designs","volume":"35","author":"Chan LY","year":"2002","journal-title":"Journal of Quality Technology"},{"key":"e_1_2_1_16_2","doi-asserted-by":"publisher","DOI":"10.1111\/j.1467-9868.2007.00576.x"},{"key":"e_1_2_1_17_2","volume-title":"Design and Analysis of Experiments","author":"Montgomery DC","year":"1997"},{"key":"e_1_2_1_18_2","volume-title":"Response Surface Methodology","author":"Myers RH","year":"2002"},{"key":"e_1_2_1_19_2","volume-title":"Chebyshev Polynomials","author":"Mason JC","year":"2003"},{"key":"e_1_2_1_20_2","volume-title":"Biometrika Tables for Statisticians","author":"Pearson ES","year":"1966"},{"key":"e_1_2_1_21_2","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-7152(01)00051-7"},{"key":"e_1_2_1_22_2","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995286076"},{"key":"e_1_2_1_23_2","volume-title":"Probability and Statistics for Engineers and Scientists","author":"Walpole RE","year":"1998"}],"container-title":["Quality and Reliability Engineering International"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.wiley.com\/onlinelibrary\/tdm\/v1\/articles\/10.1002%2Fqre.1072","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/pdf\/10.1002\/qre.1072","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,11,21]],"date-time":"2023-11-21T10:13:12Z","timestamp":1700561592000},"score":1,"resource":{"primary":{"URL":"https:\/\/onlinelibrary.wiley.com\/doi\/10.1002\/qre.1072"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2009,10,19]]},"references-count":22,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2010,10]]}},"alternative-id":["10.1002\/qre.1072"],"URL":"https:\/\/doi.org\/10.1002\/qre.1072","archive":["Portico"],"relation":{},"ISSN":["0748-8017","1099-1638"],"issn-type":[{"value":"0748-8017","type":"print"},{"value":"1099-1638","type":"electronic"}],"subject":[],"published":{"date-parts":[[2009,10,19]]}}}