Factorial design and Abelian groups

DOI10.1016/0024-3795(85)90064-3zbMath0586.62123OpenAlexW2067614022MaRDI QIDQ1071450

R. A. Bailey

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(85)90064-3

zbMATH Keywords

decompositionSylow subgroupsblocked single replicatesconstruction of factorial designsfractional replicatesprime- power order

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Finite abelian groups (20K01) Factorial statistical designs (62K15)

Related Items (20)

A UNIFIED FRAMEWORK FOR MINIMUM ABERRATION ⋮ Comparing the classes of single replicate generalized cyclic factorial designs with and without pseudofactors ⋮ Optimal design for interacting blocks with OAVS incidence ⋮ Automatic generation of generalised regular factorial designs ⋮ The problem of confounding in two-factor experiments ⋮ Fractions of resolution \(\omega\) and finite abelian groups ⋮ Unnamed Item ⋮ The geometry of diagonal groups ⋮ Row‐column factorial designs with multiple levels ⋮ Structure function for aliasing patterns in \(2^{l-n}\) design with multiple groups of factors ⋮ The diagonal graph ⋮ Orthogonal partitions in designed experiments ⋮ Global sensitivity analysis using complex linear models ⋮ General balance and treatment permutations ⋮ On the equivalence of definitions for regular fractions of mixed-level factorial designs ⋮ Space-filling orthogonal arrays of strength two ⋮ Optimal design with many blocking factors. ⋮ Complex linear models and cyclic designs ⋮ Construction d'orthogonaux dans les groupes abéliens finis et confusions d'effets dans les plans factoriels ⋮ Confounding in relation to duality of finite Abelian groups

Cites Work

• Orthogonal partitions in designed experiments
• A unified theory for generalized cyclic designs
• Generators for asymmetrical factorial experiments
• Analysis of Variance Models in Orthogonal Designs
• Design Keys for Factorial Experiments
• Combinatorial Problems of Experimental Design II: Factorial Designs
• A Unified Approach to Design of Experiments
• Generalized Wreath Products of Permutation Groups
• Identification of effects and confounding patterns in factorial designs
• Patterns of confounding in factorial designs
• Endliche Gruppen I
• Generalized cyclic designs in factorial experiments
• The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance
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