On some of Jerzy Baksalary’s contributions to the theory of block designs

• Published in: Linear algebra and its applications Vol. 410; pp. 54 - 63
• Main Author: CALINSKI, Tadeusz
• Format: Journal Article
• Language: English
• Published: New York, NY Elsevier Inc 15.11.2005; Elsevier Science
• Subjects: Algebra; Applied sciences; BIB design; Block design; Combinatorial balance; Computer science; control theory; systems; Connectedness; Control system synthesis; Control theory. Systems; Efficiency balance; Exact sciences and technology; Fisher’s condition; Linear and multilinear algebra, matrix theory; Mathematics; Orthogonality; PBIB design; Probability and statistics; Robustness; Sciences and techniques of general use; Statistics; Variance balance; BIB design; Variance balance; Block design; Fisher’s condition; Combinatorial balance; Connectedness; PBIB design; Robustness; Orthogonality; Efficiency balance; Statistical analysis; Variance; Experimental design; Fisher's condition
• ISSN: 0024-3795; 1873-1856
• DOI: 10.1016/j.laa.2005.08.010

A review of some results obtained by Jerzy Baksalary with regard to the theory of block designs is presented. Particular attention is drawn to his results concerning various concepts of balance, some methods of constructing block designs, the connectedness of PBIB designs, conditions for a kind of robustness of block designs, and certain criteria concerning Fisher’s condition for block designs. The importance of his results is stressed. References to other relevant works in this field are also made. There is no doubt that Baksalary’s contributions to experimental design are important both from a theoretical and a practical point of view.