Search designs for \(2^ m\) factorials derived from balanced arrays of strength \(2(\ell +1)\) and AD-optimal search designs

DOI10.1016/0378-3758(85)90012-6zbMath0582.62068OpenAlexW1986363694MaRDI QIDQ1068499

Teruhiro Shirakura, Toshio Ohnishi

Publication date: 1985

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(85)90012-6

zbMATH Keywords

resolutionbalanced designsearch designbalanced arrayAD-optimalityfactor interactionsrelation of association

Mathematics Subject Classification ID

Optimal statistical designs (62K05) Other designs, configurations (05B30) Factorial statistical designs (62K15)

Related Items (8)

J.N. Srivastava and experimental design ⋮ Common variance fractional factorial designs and their optimality to identify a class of models ⋮ Linear programming bounds for balanced arrays ⋮ An infinite series of resolution III.2 designs for the \(2^ m\) factorial experiment ⋮ Sequential factorial probing designs for identifying and estimating non- negligible factorial effects for the \(2^ m\) experiment under the tree structure ⋮ A series of search designs for \(2^ m\) factorial designs of resolution V which permit search of one or two unknown extra three-factor interactions ⋮ Fractional factorial designs of two and three levels ⋮ Main effect plus one or two plans for \(2^ m\) factorials

Cites Work

• Main effect plan for \(2^n\) factorials which allow search and estimation of one unknown effect
• On main effect plus one plans for \(2^ m\) factorials
• Weakly resolvable IV.3 search designs for the \(p^ n\) factorial experiment
• On some new search designs for \(2^ m\) factorial experiments
• Optimal balanced \(2^7\) fractional factorial designs of resolution \(v\), with \(N\leq 42\)
• Balanced fractional \(2^m\) factorial designs of even resolution obtained from balanced arrays of strength \(2\ell\) with index \(\mu_\ell= 0\)
• Balanced arrays of strength 21 and balanced fractional \(2^m\) factorial designs
• Some general existence conditions for balanced arrays of strength \(t\) and 2 symbols
• Balanced 2^mfactorial designs of resolution v which allow search and estimation of one extra unknown effect, 4 ≤ m ≤ 8
• Balanced Optimal 2 m Fractional Factorial Designs of Resolution V, m <= 6
• Optimal balanced 2⁷fractional factorial designs of resolution V, 49 ≤ N ≤55
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