Authors:
- Equips readers with key idea and method of the uniform experimental design
- Reviews the subject in both theoretical and applied aspects
- Discusses measures of uniformity, various construction methods of uniform designs, modeling Techniques, design and modeling for experiments with mixtures, and the usefulness of the Uniformity in block, factorial and supersaturated designs
Part of the book series: Lecture Notes in Statistics (LNS, volume 221)
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
The book provides necessary knowledge for readers interested in developing the theory of uniform experimental design. It discusses measures of uniformity, various construction methods of uniform designs, modeling techniques, design and modeling for experiments with mixtures, and the usefulness of the uniformity in block, factorial and supersaturated designs.
Experimental design is an important branch of statistics with a long history, and is extremely useful in multi-factor experiments. Involving rich methodologies and various designs, it has played a key role in industry, technology, sciences and various other fields. A design that chooses experimental points uniformly scattered on the domain is known as uniform experimental design, and uniform experimental design can be regarded as a fractional factorial design with model uncertainty, a space-filling design for computer experiments, a robust design against the model specification, and a supersaturated design and can be applied to experiments with mixtures.
Authors and Affiliations
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Beijing Normal University-Hong Kong Baptist University United International College, Zhuhai, China
Kai-Tai Fang
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School of Statistics and Data Science, Nankai University, Tianjin, China
Min-Qian Liu, Yong-Dao Zhou
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Faculty of Mathematics and Statistics, Central China Normal University, Wuhan, China
Hong Qin
About the authors
Kai-Tai Fang is a professor at the BNU-HKBU United International college and is a research professor at the Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing, China.
Min-Qian Liu is a professor at the Institute of Statistics, Nankai University, Tianjin, China
Hong Qin is a professor at the Faculty of Mathematics and Statistics, Central China Normal
University, Wuhan, ChinaYong-Dao Zhou is a professor at the Institute of Statistics, Nankai University, Tianjin, China
Bibliographic Information
Book Title: Theory and Application of Uniform Experimental Designs
Authors: Kai-Tai Fang, Min-Qian Liu, Hong Qin, Yong-Dao Zhou
Series Title: Lecture Notes in Statistics
DOI: https://doi.org/10.1007/978-981-13-2041-5
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Singapore Pte Ltd. and Science Press 2018
Softcover ISBN: 978-981-13-2040-8Published: 02 October 2018
eBook ISBN: 978-981-13-2041-5Published: 02 October 2018
Series ISSN: 0930-0325
Series E-ISSN: 2197-7186
Edition Number: 1
Number of Pages: XVI, 300
Number of Illustrations: 16 b/w illustrations, 30 illustrations in colour
Additional Information: Jointly published with Science Press, Beijing