Main effect plus one or two plans for \(2^ m\) factorials

DOI10.1016/0378-3758(91)90082-PzbMath0733.62081MaRDI QIDQ809522

Teruhiro Shirakura

Publication date: 1991

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

zbMATH Keywords

linear modelBIB designsearch designtwo-factor interactionsminimum number of treatmentsminimum treatments

Mathematics Subject Classification ID

Factorial statistical designs (62K15)

Related Items (15)

Construction of supersaturated designs involving \(s\)-level factors ⋮ Search designs for estimating main effects and searching several two-factor interactions in general factorials ⋮ Search designs for estimating main effects and searching several two- factor interactions in general factorials ⋮ Resolution v.2 search designs ⋮ Searching probabilities for nonzero effects in search designs for the noisy case ⋮ A new series of main effects plus one plan for \(2^m\) factorial experiments with \(m=4\lambda \pm 1\) and \(2m\) runs ⋮ An infinite series of resolution III.2 designs for the \(2^ m\) factorial experiment ⋮ Main effect plans with an additional search property for \(2^ m\) factorial experiments ⋮ 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 ⋮ An MEP.2 plan in \(3^n\) factorial experiment and its probability of correct identification ⋮ A series of single array 2^mfactorial search designs for evenm ⋮ Construction of search designs from orthogonal arrays ⋮ Comparing search and estimation performances of designs based on a compound criterion ⋮ Comparisons of search designs using search probabilities ⋮ Construction of main effect plus two plans for \(2^m\) factorials

Cites Work

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• Search designs for \(2^ m\) factorials derived from balanced arrays of strength \(2(\ell +1)\) and AD-optimal search designs
• Some search designs for symmetric and asymmetric factorials
• Search designs for \(2^ m\) factorial experiments
• 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
• A bound connected with 2⁶factorial search designs of resolution 3.1
• A necessary condition for the existence of main effect plus one plans for 2^mfactorials
• Balanced 2^mfactorial designs of resolution v which allow search and estimation of one extra unknown effect, 4 ≤ m ≤ 8

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