Premium
Fractional factorial designs that restrict the number of treatment combinations for factor subsets
Author(s) -
Yates Phillip,
Mee Robert W.
Publication year - 2000
Publication title -
quality and reliability engineering international
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 62
eISSN - 1099-1638
pISSN - 0748-8017
DOI - 10.1002/1099-1638(200009/10)16:5<343::aid-qre343>3.0.co;2-s
Subject(s) - fractional factorial design , factorial experiment , design of experiments , rotor (electric) , context (archaeology) , computer science , limit (mathematics) , mathematics , engineering , statistics , mechanical engineering , paleontology , mathematical analysis , biology
Designs are constructed that limit the number of treatment combinations within subsets of factors. Such designs came to our attention in the context of machine assembly experiments (by Diamond and Bisgaard). For example, to improve a stepper motor, we plan a 2 4−1 design to investigate four rotor factors and a similar 2 4−1 design to investigate four stator factors. The product of these two arrays—to study the eight factors of these motors—would involve 64 combinations. However, a resolution IV design is possible in only 16 treatment combinations. Others have cited the benefits of such design efficiencies for assembly experiments. We propose two methods for constructing restricted subset designs and catalog the possible designs with factors partitioned into two or more subsets. We also suggest alternative applications of these designs and cite related literature. Copyright © 2000 John Wiley & Sons, Ltd.