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

처리(處理)와 대조(對照)의 비교(比較)를 위(爲)한 군분할(群分割) 가능(可能)한 처리계획(處理計劃)의 생성계획(生成計劃)에 대(對)한 최소원비성(最小圓備性)의 연구(硏究)

Bechhofer and Tamhane(1981) proposed Balanced Treatment Incomplete Block (BTIB) desings for comparing p test treatments with a control treatment in blocks of size ${\kappa}$. Notz and Tamhane(1983) solved the problem about determination of the minimal complete class for ${\kappa}=3$. 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 ${\kappa}=2,\;p{\geq}4(except\;prime\;number)\;and\;{\kappa}=3,\;p=4(2)6$.