Balanced arrays of strength 4 and balanced fractional \(3^m\) factorial designs

DOI10.1016/0378-3758(79)90031-4zbMath0425.62058OpenAlexW2049762115MaRDI QIDQ1135597

Masahide Kuwada

Publication date: 1979

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(79)90031-4

zbMATH Keywords

information matrixorthogonal arrayrelationshipbalanced arraybalanced fractional factorial design

Mathematics Subject Classification ID

Other designs, configurations (05B30) Orthogonal arrays, Latin squares, Room squares (05B15) Factorial statistical designs (62K15)

Related Items (17)

Analysis of variance of balanced fractional \(S^ m\) factorial designs of resolution \(V_{p,q}\) ⋮ On the characteristic polynomial of the information matrix of balanced fractional \(s^ m\) factorial designs for resolution \(V_{p,q}\) ⋮ On the maximum number of constraints for s-symbol balanced arrays of strength t ⋮ D-optimality in \(3^ k\)-designs for N\(\equiv 1\) mod 9 observations ⋮ An extension method for balanced arrays ⋮ Characteristic polynomials of the information matrices of balanced fractional \(3^ m\) factorial designs of resolution V ⋮ Existence conditions for balanced fractional 3^mfactorial designs of resolution R({00, 10, 01, 20, 11}) ⋮ Characterization of Balanced Fractional 3^mFactorial Designs of Resolution III ⋮ Bounds on the number of constraints for balanced arrays of strength t ⋮ Fractional factorial designs of two and three levels ⋮ Robustness of balanced fractional \(2^ m\) factorial designs derived from simple arrays ⋮ Analysis of variance of balanced fractional factorial designs ⋮ Characterization of singular balanced fractional s^mfactorial designs derivable from balanced arrays with maximum number of constraints ⋮ Characterization of balanced second-order designs for \(3^m\) factorials ⋮ Best alias designs in some class of balanced fractional 3^mfactorial designs of resolution V ⋮ Balanced fractional \(\text{3}^m\) designs of resolution IV ⋮ On some optimal fractional \(2^ m \)factorial designs of resolution V

Cites Work

• The characteristic polynomial of the information matrix for second-order models
• 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 \(\mu_\ell= 0\)
• Optimal balanced fractional \(2^m\) factorial designs of resolution VII, \(6\leq m\leq 8\)
• Note on balanced fractional \(2^m\) factorial designs of resolution \(2l+1\)
• 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
• Economical Second-Order Designs Based on Irregular Fractions of the 3 n Factorial
• 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
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Balanced arrays of strength 4 and balanced fractional \(3^m\) factorial designs