期刊名称：Journal of Statistical Theory and Applications (JSTA)
电子版ISSN：1538-7887
出版年度：2017
卷号：16
期号：1
页码：98-109
DOI：10.2991/jsta.2017.16.1.8
语种：English
出版社：Atlantis Press
摘要：Mukerjee (1979) introduced structure (k) property of a factorial design. In this article, we introduce structure (k1), structure (k2) and structure (k1k2) properties of a factorial design. We establish properties of each of these structure designs in terms of the incidence and characteristic matrices of the designs. Furthermore, we develop methods of obtaining optimal R-type structure (k) designs and show that such designs are trace, A- and MV-optimal. The proposed methodologies are easy to follow and the construction of the designs comes out in a simple form.
