Inequality for equireplicated \(n\)-ary block designs with unequal block sizes

DOI10.1016/0378-3758(79)90002-8zbMath0435.62076OpenAlexW2004118645MaRDI QIDQ1140393

Takumi Tsuji, Sanpei Kageyama

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)90002-8

zbMATH Keywords

inequalitiesspectral expansionBIB designC- matrixunequal block sizesaffine mu-resolvableBB designequireplicated n-ary block designsPBB design

Mathematics Subject Classification ID

Eigenvalues, singular values, and eigenvectors (15A18) Statistical block designs (62K10)

Related Items (3)

Mathematical expression of an inequality for a block design ⋮ The family of block designs with some combinatorial properties ⋮ A note on the inequality b\(\geq t\) for block designs

Cites Work

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• Reduction of associate classes for block designs and related combinatorial arrangements
• Resolvability of block designs
• Characterization of certain incomplete block designs
• The Relationship Algebra and the Analysis of Variance of a Partially Balanced Incomplete Block Design
• A Note on Balanced Designs

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