Minimal Complete Class of Generator Designs of Group Divisible Treatment Designs for Comparing Treatments with a Control

Bechhofer and Tamhane(1981) proposed Balanced Treatment Incomplete Block (BTIB) desings for comparing p test treatments with a control treatment in blocks of size . Notz and Tamhane(1983) solved the problem about determination of the minimal complete class for . However there are a number of design parameters for which BTIB designs do not exist. We suggest a new class of designs called Group Divisible Treatment Desings(GDTD's) that is a larger class including BTIB designs as a subclass. In this paper we give the minimal complete classes of generator designs for GDTD's with .