A Note on Balanced Incomplete Block Designs

DOI10.1214/aoms/1177697740zbMath0169.50302OpenAlexW2075424715MaRDI QIDQ5556873

Henry B. Mann

Publication date: 1969

Published in: The Annals of Mathematical Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoms/1177697740

zbMATH Keywords

balanced incomplete block designsnot necessarily distinct blocks

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Statistical block designs (62K10)

Related Items (20)

On generalized quasi-residual designs ⋮ On balanced incomplete-block designs with repeated blocks ⋮ High order intersection numbers of \(t\)-designs ⋮ A graphical proof of the nonexistence of BIB(7,b,r,3,\(\lambda\) \(| 16)\) designs ⋮ Results on the support of BIB designs ⋮ Linearly embeddable designs ⋮ The family of t-designs. Part I ⋮ An algebraic study of BIB designs: a complete solution for v=6 and k=3 ⋮ Incidence matrices of t-designs ⋮ Complete designs with blocks of maximal multiplicity ⋮ A complete class of balanced incomplete block designs \(\beta (7, 35, 15, 3, 5)\) with repeated blocks ⋮ Improved inequalities for balanced incomplete block designs ⋮ The family of block designs with some combinatorial properties ⋮ Block designs with repeated blocks ⋮ Inequalities for t designs ⋮ Inequalities for t-designs with repeated blocks ⋮ Block designs with repeated blocks and \((b,r,\lambda)=1\) ⋮ BIB(8,56,21,3,6) and BIB(10,30,9,3,2) designs with repeated blocks ⋮ Further properties of generalized residual designs ⋮ A method for constructing generalized residual designs

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