What can lattices do for experimental designs?

DOI10.1016/0165-4896(86)90028-4zbMath0609.62118OpenAlexW2040131513MaRDI QIDQ1086956

Vincent Duquenne

Publication date: 1986

Published in: Mathematical Social Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0165-4896(86)90028-4

zbMATH Keywords

Möbius functionmodular latticesanalysis of varianceanalysis of comparisonscanonical decomposition of comparatorscommutativity of comparatorsdirect meet representationlabelling processlocally orthogonal designslocally orthogonal partitionspartition sublatticespermutable partitionsprojective intervalquasi complete designsrelative interaction

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Analysis of variance and covariance (ANOVA) (62J10) Mathematical psychology (91E99) Applications of statistics to psychology (62P15) Distributive lattices (06D99)

Related Items (3)

The geometry of diagonal groups ⋮ The presence of lattice theory in discrete problems of mathematical social sciences. Why. ⋮ Latticial structures in data analysis.

Cites Work

• Theory of equivalence relations
• The Möbius function of a lattice
• [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
• The analysis of randomized experiments with orthogonal block structure. I. Block structure and the null analysis of variance
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