Open Access

A note on the D-optimality and D-efficiency of nonorthogonal blocked main effects plans

   | Dec 10, 2016

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Bose M., Bagchi S. (2007): Optimal main effect plans in blocks of small size. Statistics & Probability Letters 77: 142–147.10.1016/j.spl.2006.06.011Search in Google Scholar

Bulutoglu D.A., Ryan K.J. (2009): D-optimal and near D-optimal 2k fractional factorial designs of resolution V. Journal of Statistical Planning and Inference 139: 16–22.10.1016/j.jspi.2008.05.012Search in Google Scholar

Cheng C.S., Tsai P.W. (2009): Optimal two-level regular fractional factorial block and split-plot designs. Biometrika 96: 83–93.10.1093/biomet/asn066Search in Google Scholar

Cheng S.W., Li W., Ye K.Q. (2004): Blocked non-regular two-level factorial designs. Technometrics 46: 269–279.10.1198/004017004000000301Search in Google Scholar

Das A., Dey A. (2004): Optimal main effect plans with non-orthogonal blocks. Sankhyā 66: 378–384.Search in Google Scholar

Davies O.L., Hay W.A. (1950): Construction and uses of fractional factorial designs in industrial research. Biometrics 6: 233–249.10.2307/3001821Search in Google Scholar

Domijan K. (2012): tabuSearch: R based tabu search algorithm. R package version 1.1. http://CRAN.R-project.org/package=tabuSearchSearch in Google Scholar

Harman R., Bachratá A., Filová L. (2016): Construction of efficient experimental designs under multiple resource constraints. Applied Stochastic Models in Business and Industry 32: 3–17.10.1002/asmb.2117Search in Google Scholar

Jacroux M. (2009): Blocking in two-level non-regular fractional factorial designs. Journal of Statistical Planning and Inference 139: 1215–1220.10.1016/j.jspi.2008.08.001Search in Google Scholar

Jacroux M. (2011a): On the D-optimality of orthogonal and nonorthogonal blocked main effects plans. Statistics & Probability Letters 81: 116–120.10.1016/j.spl.2010.09.026Search in Google Scholar

Jacroux M. (2011b): On the D-optimality of nonorthogonal blocked main effects plans. Sankhyā 73: 62–69.10.1007/s13571-011-0023-ySearch in Google Scholar

Jacroux M. (2013): Optimal blocked main effect plans. Statistics 47: 1022–1029.10.1080/02331888.2012.694439Search in Google Scholar

Jacroux M., Kealy-Dichone B. (2014): On the E-optimality of blocked main effects plans when n ≡ 3 (mod 4). Statistics & Probability Letters 87: 143–148.10.1016/j.spl.2014.01.005Search in Google Scholar

Jacroux M., Kealy-Dichone B. (2015): On the type I optimality of blocked 2-level main effects plans having blocks of different sizes. Statistics & Probability Letters 98: 39–43.10.1016/j.spl.2014.12.009Search in Google Scholar

Jacroux M., Wong C.S., Masaro J. (1983): On the optimality of chemical balance weighing designs. Journal of Statistical Planning and Inference 8: 231–240.10.1016/0378-3758(83)90041-1Search in Google Scholar

Jung J.S., Yum B.J. (1996): Construction of exact D-optimal designs by tabu search. Computational Statistics & Data Analysis 21: 181–191.10.1016/0167-9473(95)00014-3Search in Google Scholar

Katulska K., Smaga Ł. (2016): D-optimal and highly D-efficient designs with nonnegatively correlated observations. Kybernetika 52: 575–588.Search in Google Scholar

Marshall A.W., Olkin I., Arnold B.C. (2011): Inequalities: Theory of Majorization and Its Applications. Second Edition, Springer Series in Statistics, New York.10.1007/978-0-387-68276-1Search in Google Scholar

Mukerjee R., Dey A., Chatterjee K. (2002): Optimal main effect plans with nonorthogonal blocking. Biometrika 89: 225–229.10.1093/biomet/89.1.225Search in Google Scholar

Radhakrishna Rao C., Bhaskara Rao M. (1998): Matrix Algebra and Its Applications to Statistics and Econometrics. World Scientific, Singapore.Search in Google Scholar

R Core Team (2015): R: A language and environment for statistical computing. R Foundation for Statistical Computing, Vienna, Austria. http://www.R-project.org/Search in Google Scholar

eISSN:
1896-3811
Language:
English
Publication timeframe:
2 times per year
Journal Subjects:
Life Sciences, Bioinformatics, other, Mathematics, Probability and Statistics, Applied Mathematics