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Efficient two-replicate resolvable row-column designs
Institution:1. University of Adelaide, Adelaide 5005, Australia;2. Royal Holloway University of London, Egham Hill, Egham, Surrey, TW 20 0EX, UK;1. SUSTech International Center for Mathematics and Department of Mathematics, Southern University of Science and Technology Shenzhen, Guangdong 518055 PR China;2. School of Statistics and Mathematics, Yunnan University of Finance and Economics Kunming, Yunnan 650221 PR China;3. School of Mathematics and Statistics, The University of Melbourne Parkville, VIC 3010 Australia;1. Faculdade de Odontologia de Araraquara, Departamento de Odontologia Social, Universidade Estadual Paulista “Júlio de Mesquita Filho”—UNESP, Araraquara, São Paulo, Brazil;2. Faculdade de Ciências Farmacêuticas de Araraquara, Departamento de Alimentos e Nutrição, Universidade Estadual Paulista “Júlio de Mesquita Filho”—UNESP, Araraquara, São Paulo, Brazil;3. Instituto Universitário de Ciências Psicológicas, Sociais e da Vida—ISPA, Lisboa, Portugal;1. School of Statistics and Mathematics, Yunnan University of Finance and Economics, Kunming, PR China;2. School of Science, Beijing Jiaotong University, Beijing, PR China
Abstract:We relate the efficiency factors of a two-replicate resolvable row-column design to those of a reduced design. This provides a method to search for efficient designs via the reduced design. By choosing the row-component and column-components as generalised cyclic designs, the method is easily implemented and produces efficient designs.
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