Optimal selection and ordering of columns in supersaturated designs

N. Niki, M. Iwata, H. Hashiguchi, S. Yamada

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2449-2462
ページ数14
ジャーナルJournal of Statistical Planning and Inference
141
7
DOI
出版ステータスPublished - 2011 7
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 統計学、確率および不確実性
  • 応用数学

フィンガープリント

「Optimal selection and ordering of columns in supersaturated designs」の研究トピックを掘り下げます。これらがまとまってユニークなフィンガープリントを構成します。

引用スタイル