A-optimal partially balanced fractional \(2^{m_ 1+m_ 2}\) factorial designs of resolution V, with \(4\leq m_ 1+m_ 2\leq 6\)

DOI10.1016/0378-3758(88)90004-3zbMath0652.62068OpenAlexW2064283329MaRDI QIDQ1107241

Masahide Kuwada

Publication date: 1988

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(88)90004-3

zbMATH Keywords

partially balanced arraytwo-factor interactionsA-optimal PBFF designscharacteristic polynomial of the information matrixdesigns of resolution Vextended triangular multi- dimensional partially balanced association schemesfractional factorial (FF) designs

Mathematics Subject Classification ID

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

Related Items (5)

Balanced fractional factorial designs of resolution \(2\ell +1\) for interesting effects orthogonal to some nuisance parameters: \(2^{m_ 1+m_ 2}\) series ⋮ Fractional factorial designs of two and three levels ⋮ Robustness of balanced fractional \(2^ m\) factorial designs derived from simple arrays ⋮ GA-optimal partially balanced fractional \(2^{m_1+m_2}\) factorial designs of resolutions \(\mathrm{R}(\{10,01\} \cup{\Omega}^\ast | {\omega})\) with \(2 \leq m_1, m_2 \leq 4\) ⋮ GA-Optimal Partially Balanced Fractional 2^m₁+m₂Factorial Designs of Resolution R({00, 10, 01, 20}|Ω) with 2 ≤ m₁,m₂ ≤ 4

Cites Work

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• More precise tables of Srivastava-Chopra balanced optimal \(2^ m\) fractional factorial designs of resolution V, m\(\leq 6\)
• Balanced fractional \(r^m\times s^n\) factorial designs and their analysis
• Contributions to the theory and construction of balanced arrays
• Optimal balanced \(2^7\) fractional factorial designs of resolution \(v\), with \(N\leq 42\)
• Optimal balanced fractional \(2^m\) factorial designs of resolution VII, \(6\leq m\leq 8\)
• Note on the construction of partially balanced arrays
• Contributions to balanced fractional \(2^m\) factorial designs derived from balanced arrays of strength \(2l\)
• 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
• Orthogonal and partially balanced arrays and their application in design of experiments
• On Some Methods of Construction of Partially Balanced Arrays
• Optimal Fractional Factorial Plans for Main Effects Orthogonal to Two- Factor Interactions: 2 m Series
• Balanced Optimal 2 m Fractional Factorial Designs of Resolution V, m <= 6
• On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications
• Optimal balanced 2⁷fractional factorial designs of resolution V, 49 ≤ N ≤55

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