Optimal main effect plans with non-orthogonal blocking
成果类型：
Article
署名作者：
Mukerjee, R; Dey, A; Chatterjee, K
署名单位：
Indian Institute of Management (IIM System); Indian Institute of Management Calcutta; Indian Statistical Institute; Indian Statistical Institute Delhi
刊物名称：
BIOMETRIKA
ISSN/ISSBN：
0006-3444
DOI：
10.1093/biomet/89.1.225
发表日期：
2002
页码：
225229
关键词：
摘要：
The current literature on fractional factorial plans in block designs centres around orthogonal blocking which may not, however, always be attainable because of practical restrictions on the block size. For general factorials, including asymmetric ones, sufficient conditions are indicated in this paper for a main effect plan to be universally optimal under possibly non-orthogonal blocking. A construction procedure is given using generalised Youden designs in conjunction with orthogonal arrays. We also illustrate how the procedure can be applied to obtain optimal main effect plans in the practically important situation where each factor has two or three levels and the block size is small.