The Contribution to Experimental Designs by Kai-Tai Fang

Min-Qian Liu (), Dennis K. J. Lin () and Yongdao Zhou ()
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Min-Qian Liu: Nankai University, School of Statistics and Data Science
Dennis K. J. Lin: The Pennsylvania State University, Department of Statistics
Yongdao Zhou: Nankai University, School of Statistics and Data Science

Chapter Chapter 2 in Contemporary Experimental Design, Multivariate Analysis and Data Mining, 2020, pp 21-35 from Springer

Abstract: Abstract Professor Kai-Tai Fang has a wide research interest including applications of number-theoretic methods in statistics, distribution theory, experimental design, multivariate analysis and data mining. This paper only focuses on his contribution to experimental design. He proposed the method of visualization analysis for orthogonal designs in 1970. Inspired by three big military projects in 1978, he cooperated with Prof. Yuan Wang and proposed a new type of design of computer experiments, uniform design by utilized the number-theoretic methods. The uniform design can be also regarded as a kind of fractional factorial design, supersaturated design and design of experiments with mixture. In the past decades, the theory and applications of uniform designs have been developed rapidly by Kai-Tai Fang and his collaborators. In 2008, together with Professor Yuan Wang, Kai-Tai Fang received the 2008 State Natural Science Award at the Second Level, the highest level award in this kind of State award in that year. This paper focuses on the contribution of Kai-Tai Fang to experimental designs such as uniform designs, orthogonal designs, supersaturated designs and computer experiments.

Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-46161-4_2

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DOI: 10.1007/978-3-030-46161-4_2

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