Characterization of certain incomplete block designs

DOI10.1016/0378-3758(77)90020-9zbMath0371.62106OpenAlexW2001310368MaRDI QIDQ1243558

Takumi Tsuji, Sanpei Kageyama

Publication date: 1977

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(77)90020-9

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Statistical block designs (62K10)

Related Items

Inequality for equireplicated \(n\)-ary block designs with unequal block sizes, Mathematical expression of an inequality for a block design, General upper bound for the number of blocks having a given number of treatments common with a given block, The family of block designs with some combinatorial properties, On non-existence of affine \({\alpha}\)-resolvable triangular designs, 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
• On \(\mu\)-resolvable and affine \(\mu\)-resolvable balanced incomplete block designs
• On Partially Balanced Linked Block Designs
• The Uniqueness of the Triangular Association Scheme
• The Uniqueness of the $\mathrm{L}_2$ Association Scheme
• The Non-Existence of Certain PBIB Designs
• On the Block Structure of Certain PBIB Designs with Two Associate Classes Having Triangular and $L_2$ Association Schemes
• Relations Among the Blocks of the Kronecker Product of Designs
• An Upper Bound for the Number of Disjoint Blocks in Certain PBIB Designs
• On the Block Structure of Singular Group Divisible Designs
• On the Duals of Symmetric Partially-Balanced Incomplete Block Designs
• Combinatorial Properties of Group Divisible Incomplete Block Designs
• Some Relations among the Blocks of Symmetrical Group Divisible Designs