Criteria for the validity of Fisher's condition for balanced block designs

DOI10.1016/0378-3758(88)90022-5zbMath0663.62079OpenAlexW1984539049MaRDI QIDQ1114273

P. D. Puri, Jerzy K. Baksalary

Publication date: 1988

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(88)90022-5

zbMATH Keywords

incidence matrixvariance balancecombinatorial balanceFisher's condition

Mathematics Subject Classification ID

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

Related Items (5)

A rank characterization of linear models with nuisance parameters and its application to block designs ⋮ Minimum number of experimental units in connected block designs with certain additional properties ⋮ The family of block designs with some combinatorial properties ⋮ On some of Jerzy Baksalary's contributions to the theory of block designs ⋮ Nonnegative and positive definiteness of matrices modified by two matrices of rank one

Cites Work

• A note on the inequality b\(\geq t\) for block designs
• Some bounds on balanced block designs
• Reduction of associate classes for block designs and related combinatorial arrangements
• On some properties of the dual of a totally balanced block design
• On properties of efficiency-balanced designs
• A necessary condition for balance of a block design
• Conditions for Positive and Nonnegative Definiteness in Terms of Pseudoinverses
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