Construction of main effect plus two plans for 2m factorials |
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| Institution: | 1. Department of Mathematics and Informatics, Faculty of Human Development, Kobe University, Noda Kobe, Hyogo 657-8501, Japan;2. Department of General Education, Kobe City College of Technology, Kobe 651-2194, Japan;3. Department of Mathematics, Faculty of Education, Shimane University, Matsue 690-8504, Japan;1. Aarhus University, Faculty of Technological Sciences, Department of Ecoscience, DK-4000 Roskilde, Denmark;2. Sustainability Cluster, School of Engineering, University of Petroleum & Energy Studies, Dehradun, Uttarakhand 248007, India;3. Higher Institution Centre of Excellence (HICoE), Institute of Tropical Aquaculture and Fisheries (AKUATROP), Universiti Malaysia Terengganu, 21030 Kuala Nerus, Terengganu, Malaysia;4. University Centre for Research and Development, Department of Chemistry, Chandigarh University, Gharuan, Mohali, Punjab, India;5. Department of Ecoscience, Aarhus University, C.F. Møllers Allé 8, 8000 Aarhus C, Denmark;1. Low Carbon Energy Institute, China University of Mining and Technology, Xuzhou 221008, China;2. Earth and Environmental Engineering Department, Columbia University, New York, NY, 10027, United States;3. School of Electrical and Power Engineering, China University of Mining and Technology, Xuzhou 221116, China;4. Department of Chemical Engineering, Columbia University, New York, NY, 10027, United States;1. Center for Informatics and Computing, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Viet Nam;2. Lac Hong University, 10 Huynh Van Nghe, Bien Hoa, Dong Nai, Viet Nam;3. Institute of Information Technology, VAST, 18 Hoang Quoc Viet, Cau Giay, Hanoi, Viet Nam |
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| Abstract: | This paper gives a main effect plus two plan (MEP.2 plan) for 2m factorials (m?4) in the same setup as in Mukerjee and Chatterjee (Utilitas Math. 45 (1994) 213) in a smaller number of treatments. For a certain design T1, combinatorial properties on a design T2 are presented so that the design T=T1+T2 is a MEP.2 plan, where “+” stands for a union of two designs. Our results are more flexible for the choice of T2 than the results of Mukerjee and Chatterjee (Utilitas Math. 45 (1994) 213). |
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