Characterization of singular balanced fractional smfactorial designs derivable from balanced arrays with maximum number of constraints

DOI10.1080/03610929208830886zbMath0780.62060OpenAlexW1998831896MaRDI QIDQ4202708

Fuzhi Yuan

Publication date: 2 February 1994

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610929208830886

zbMATH Keywords

balanced arraysbalanced fractional factorial designsnegligible higher order interactionsBIB factorial designestimable factorial effectssingular balanced designsupper bound on the maximum number of constraints

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Factorial statistical designs (62K15)

Cites Work

• Balanced arrays and main-effect plans from regular group-divisible designs
• A construction of balanced arrays of strength t and some related incomplete block designs
• On the characteristic polynomial of the information matrix of balanced fractional \(s^ m\) factorial designs for resolution \(V_{p,q}\)
• Balanced arrays of strength 4 and balanced fractional \(3^m\) factorial designs
• The family of t-designs. Part I
• Contributions to the theory and construction of balanced arrays
• Three symbol partially balanced arrays
• Note on the construction of partially balanced arrays
• Balanced arrays of strength 21 and balanced fractional \(2^m\) factorial designs
• The family of t-designs. II
• Bounds on the number of constraints for balanced arrays of strength t
• Some general existence conditions for balanced arrays of strength \(t\) and 2 symbols
• On Some Methods of Construction of Partially Balanced Arrays
• A note on an upper bound for the constraints of balancedarrays with strength t
• On the maximum number of constraints for s-symbol balanced arrays of strength t
• BALANCED ARRAYS AND WEIGHING DESIGNS
• On the problem of augmented fractional factorial designs
• On the construction of balanced and orthogonal arrays
• On the Characteristic Roots of the Information Matrix of $2^m$ Balanced Factorial Designs of Resolution V, with Applications
• Orthogonal Arrays of Strength two and three

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