Defining equations for two-level factorial designs

详细信息	查看全文 | 推荐本文 |

• 作者：Neil A. Butler
• 关键词：Aliasing ; Augmented design ; Defining contrasts ; Fractional factorial ; none ; color ; black" href="/science?_ob=MathURL&_method=retrieve&_udi=B6V0M-4RM1KTC-2&_mathId=mml1&_user=1067359&_cdi=5650&_rdoc=24&_acct=C000
• 刊名：Journal of Statistical Planning and Inference
• 出版年：2008
• 期刊代码：36_03783758
• 类别：mt
• 出版时间：1 October 2008
• 卷：138
• 期：10
• 页码：3157-3163
• 文件大小：149 K

摘要

Defining equations are introduced in the context of two-level factorial designs and they are shown to provide a concise specification of both regular and nonregular designs. The equations are used to find orthogonal arrays of high strength and some optimal designs. The latter optimal designs are formed in a new way by augmenting notional orthogonal arrays which are allowed to have some runs with a negative number of replicates before augmentation. Defining equations are also shown to be useful when the factorial design is blocked.