Some Results on Fractional Factorial Split-Plot Designs with Multi-Level Factors

Author: Yang Jianfeng   Liu Min-Qian   Zhang Runchu  

Publisher: Taylor & Francis Ltd

ISSN: 0361-0926

Source: Communications in Statistics: Theory and Methods, Vol.38, Iss.20, 2009-12, pp. : 3623-3633

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Abstract

Fractional factorial split-plot (FFSP) designs have received much attention in recent years. In this article, the matrix representation for FFSP designs with multi-level factors is first developed, which is an extension of the one proposed by Bingham and Sitter (1999b) for the two-level case. Based on this representation, periodicity results of maximum resolution and minimum aberration for such designs are derived. Differences between FFSP designs with multi-level factors and those with two-level factors are highlighted.