Bounds on the Maximum Number of Factors in Designs with Two Distinct Groups of Factors |
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| Authors: | Peng Zeng Yu Zhu Kevin T. Phelps |
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| Affiliation: | 1. Department of Mathematics and Statistics , Auburn University , Auburn, Alabama, USA zengpen@auburn.edu;3. Department of Statistics , Purdue University , West Lafayette, Indiana, USA;4. Department of Mathematics and Statistics , Auburn University , Auburn, Alabama, USA |
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| Abstract: | This article focuses on designs involving two distinct groups of factors. In particular, we assume that between-group interactions are more important than within-group interactions. Under this assumption, a new word-length pattern is proposed to characterize the aliasing severity of a design, and the concepts of resolution and aberration are defined accordingly. Furthermore, we have obtained various bounds on the maximum number of factors that a design with given resolution can accommodate. |
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| Keywords: | Compromise plan Fractional factorial design Minimum aberration Resolution Word-length pattern Word-type pattern |
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