Theory and Application of Uniform Experimental Designs

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 th...

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Bibliographic Details
Main Author: Fang, Kai-Tai (Author)
Format: Electronic eBook
Language:English
Published: Singapore : Springer Singapore , 2018.
Edition:1st ed. 2018.
Series:Lecture Notes in Statistics, 221
Subjects:
ISBN:9789811320415
ISSN:0930-0325 ;
Online Access: Get full text
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245 1 0 |a Theory and Application of Uniform Experimental Designs  |h [electronic resource] /  |c by Kai-Tai Fang, Min-Qian Liu, Hong Qin, Yong-Dao Zhou. 
250 |a 1st ed. 2018. 
260 1 |a Singapore :  |b Springer Singapore ,  |c 2018. 
300 |a XVI, 300 p. 46 illus., 30 illus. in color.  |b online resource. 
490 1 |a Lecture Notes in Statistics,  |x 0930-0325 ;  |v 221 
500 |a Mathematics and Statistics  
505 0 |a Introduction -- Uniformity Criteria -- Construction of Uniform Designs-Deterministic Methods -- Construction of Uniform Designs-Algorithmic Optimization Methods -- Modeling Techniques -- Connections Between Uniformity and Other Design Criteria -- Applications of Uniformity in Other Design Types -- Uniform Design for Experiments with Mixtures -- . 
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520 |a 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. 
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