{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T14:31:42Z","timestamp":1759847502904,"version":"3.41.0"},"reference-count":17,"publisher":"Association for Computing Machinery (ACM)","issue":"4","license":[{"start":{"date-parts":[[2005,10,1]],"date-time":"2005-10-01T00:00:00Z","timestamp":1128124800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["ACM Trans. Model. Comput. Simul."],"published-print":{"date-parts":[[2005,10]]},"abstract":"<jats:p>We present a concise representation of fractional factorials and an algorithm to quickly generate resolution V designs. The description is based on properties of a complete, orthogonal discrete-valued basis set called Walsh functions. We tabulate two-level resolution V fractional factorial designs, as well as central composite designs allowing estimation of full second-order models, for experiments involving up to 120 factors. The simple algorithm provided can be used to characterize even larger designs, and a fast Walsh transform method quickly generates design matrices from our representation.<\/jats:p>","DOI":"10.1145\/1113316.1113320","type":"journal-article","created":{"date-parts":[[2006,2,6]],"date-time":"2006-02-06T15:07:09Z","timestamp":1139238429000},"page":"362-377","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":60,"title":["Very large fractional factorial and central composite designs"],"prefix":"10.1145","volume":"15","author":[{"given":"Susan M.","family":"Sanchez","sequence":"first","affiliation":[{"name":"Naval Postgraduate School, Monterey, CA"}]},{"given":"Paul J.","family":"Sanchez","sequence":"additional","affiliation":[{"name":"Naval Postgraduate School, Monterey, CA"}]}],"member":"320","published-online":{"date-parts":[[2005,10]]},"reference":[{"key":"e_1_2_1_1_1","unstructured":"Beauchamp K. G. 1984. Applications of Walsh and Related Functions With an Introduction to Sequency Theory. Academic Press London.]]  Beauchamp K. G. 1984. Applications of Walsh and Related Functions With an Introduction to Sequency Theory. Academic Press London.]]"},{"key":"e_1_2_1_2_1","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/S0377-2217(96)00156-7","article-title":"Searching for important factors in simulation models with many factors: Sequential bifurcation","volume":"96","author":"Bettonvil B. J.","year":"1997","journal-title":"Eur. J. Oper. Res."},{"key":"e_1_2_1_3_1","unstructured":"Box G. E. P. Hunter W. G. and Hunter J. S. 1978. Statistics for Experimenters: An Introduction to Design Data Analysis and Model Building. Wiley New York NY.]]  Box G. E. P. Hunter W. G. and Hunter J. S. 1978. Statistics for Experimenters: An Introduction to Design Data Analysis and Model Building. Wiley New York NY.]]"},{"key":"e_1_2_1_4_1","doi-asserted-by":"crossref","first-page":"131","DOI":"10.2307\/1403599","article-title":"A catalogue of two-level and three-level fractional factorial designs with small runs","volume":"61","author":"Chen J.","year":"1993","journal-title":"Internat. Statist. Rev."},{"key":"e_1_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1287\/opre.49.5.744.10606"},{"key":"e_1_2_1_6_1","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4612-1478-6","volume-title":"Orthogonal Arrays: Theory and Applications","author":"Hedayat A. S.","year":"1999"},{"key":"e_1_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1287\/ijoc.1050.0136"},{"key":"e_1_2_1_8_1","unstructured":"Law A. M. and Kelton W. D. 2000. Simulation Modeling and Analysis 3rd ed. McGraw-Hill New York NY.]]   Law A. M. and Kelton W. D. 2000. Simulation Modeling and Analysis 3rd ed. McGraw-Hill New York NY.]]"},{"key":"e_1_2_1_9_1","doi-asserted-by":"crossref","first-page":"400","DOI":"10.1080\/00224065.2004.11980287","article-title":"Efficient two-level designs for estimating all main effects and two-factor interactions","volume":"36","author":"Mee R. W.","year":"2004","journal-title":"J. Qual. Tech."},{"key":"e_1_2_1_10_1","unstructured":"Montgomery D. C. 2000. Design and Analysis of Experiments 5th ed. Wiley New York NY.]]   Montgomery D. C. 2000. Design and Analysis of Experiments 5th ed. Wiley New York NY.]]"},{"key":"e_1_2_1_11_1","unstructured":"NIST\/SEMATECH. 2005. e-Handbook of Statistical Methods. Available at &lt;http:\/\/www.itl.nist.gov\/div898\/handbook\/&gt;.]]  NIST\/SEMATECH. 2005. e-Handbook of Statistical Methods. Available at &lt;http:\/\/www.itl.nist.gov\/div898\/handbook\/&gt;.]]"},{"key":"e_1_2_1_12_1","doi-asserted-by":"crossref","unstructured":"Sanchez P. J. Head K. L. and Ramberg J. S. 2002. Life in the fast lane: Yates' algorithm fast Fourier and Walsh transforms. In Modeling Uncertainty M. Dror P. L\u2018Ecuyer and F. Szidarovszky eds. Kluwer Academic Publishers Norwell MA 652--684.]]  Sanchez P. J. Head K. L. and Ramberg J. S. 2002. Life in the fast lane: Yates' algorithm fast Fourier and Walsh transforms. In Modeling Uncertainty M. Dror P. L\u2018Ecuyer and F. Szidarovszky eds. Kluwer Academic Publishers Norwell MA 652--684.]]","DOI":"10.1007\/0-306-48102-2_26"},{"key":"e_1_2_1_13_1","unstructured":"Sanchez P. J. and Sanchez S. M. 2005. Resolution V fractional factorial generating program. Available via \u201cSoftware downloads\u201d link at &lt;http:\/\/diana.cs.nps.navy.mil\/seedlab\/&gt;. Naval Postgraduate School.]]  Sanchez P. J. and Sanchez S. M. 2005. Resolution V fractional factorial generating program. Available via \u201cSoftware downloads\u201d link at &lt;http:\/\/diana.cs.nps.navy.mil\/seedlab\/&gt;. Naval Postgraduate School.]]"},{"key":"e_1_2_1_14_1","unstructured":"SAS Institute. 2004. JMP-In Version 5.1 for Windows Macintosh and Unix. Duxbury Thompson Learning Pacific Grove CA.]]  SAS Institute. 2004. JMP-In Version 5.1 for Windows Macintosh and Unix. Duxbury Thompson Learning Pacific Grove CA.]]"},{"volume-title":"Proceedings of the 1992 Winter Simulation Conference, J. J. Swain, D. Goldsman, R. C. Crain, and J. R. Wilson, Eds. IEEE","author":"Schruben L. W.","key":"e_1_2_1_15_1"},{"key":"e_1_2_1_16_1","doi-asserted-by":"crossref","unstructured":"Wan H. Ankenman B. and Nelson B. L. 2005. Controlled sequential bifurcation: A new factor-screening method for discrete-event simulation. Oper. Res. forthcoming.]]  Wan H. Ankenman B. and Nelson B. L. 2005. Controlled sequential bifurcation: A new factor-screening method for discrete-event simulation. Oper. 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