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Journal of statistical planning and inference >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/2241/113301
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| Title: | Optimal selection and ordering of columns in supersaturated designs |
| Authors: | Niki, N.
Iwata, M.
Hashiguchi, H.
Yamada, S.
山田, 秀 |
| Issue Date: | Jul-2011 |
| Publisher: | ElsevierB.V. |
| Journal Title: | Journal of statistical planning and inference |
| Volume: | 141 |
| Issue: | 7 |
| Start Page: | 2449 |
| End Page: | 2462 |
| DOI: | 10.1016/j.jspi.2011.02.007 |
| Abstract: | Two methods to select columns for assigning factors to work on supersaturated designs are proposed. The focus of interest is the degree of non-orthogonality between the selected columns. One method is the exhaustive enumeration of selections of p columns from all k columns to find the exact optimality, while the other is intended to find an approximate solution by applying techniques used in the corresponding analysis, aiming for ease of use as well as a reduction in the large computing time required for large k with the first method. Numerical illustrations for several typical design matrices reveal that the resulting “approximately” optimal assignments of factors to their columns are exactly optimal for any p. Ordering the columns in E(s2)-optimal designs results in promising new findings including a large number of E(s2)-optimal designs. |
| URI: | http://hdl.handle.net/2241/113301 |
| Rights: | © 2011 ElsevierB.V.
“NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Statistical Planning and Inference. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in PUBLICATION, Volume 141, Issue 7, 2011 DOI:10.1016/j.jspi.2011.02.007” |
| Text Version: | author |
| Appears in Collections: | 山田 秀 (Yamada Shu)
Journal of statistical planning and inference
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