A Unified Terminology in Block Designs
by
Sanpei Kageyama
Hiroshima University
Coauthors: Tadeusz Calinski

Partially efficiency balanced (PEB) designs with m efficiency classes have been defined by Puri and Nigam (1977), as block designs which can be made available in varying replications and/or unequal block sizes, have simple analysis and allow the important contrasts to be estimated with desired efficiency. However, it is clear that any block design is a PEB design with m efficiency classes for some m < v, where v is the number of treatments in the design. So the term "PEB" itself is not much informative in a statistical sense. More information may be added to this term. In this talk, a unified terminology is suggested, aimed at giving more statistical meaning to the PEB designs, which may or may not be connected. This is essentially based on our recent two books "BLOCK DESIGNS: A Randomization Approach" (2000, 2003; Springer Vols. 150, 170).

Date received: June 26, 2003