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

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.