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Uniform Design and Its Industrial Applications

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Springer Handbook of Engineering Statistics

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Abstract

Uniform design is a kind of space-filling design whose applications in industrial experiments, reliability testing and computer experiments is a novel endeavor. Uniform design is characterized by uniform scattering of the design points over the experimental domain, and hence is particularly suitable for experiments with an unknown underlying model and for experiments in which the entire experimental domain has to be adequately explored. An advantage of uniform design over traditional designs such as factorial design is that, even when the number of factors or the number of levels of the factors are large, the experiment can still be completed in a relatively small number of runs. In this chapter we shall introduce uniform design, the relevant underlying theories, and the methods of constructing uniform designs in the s-dimensional cube and in the (q − 1)-dimensional simplex for experiments with mixtures. We shall also give application examples of industrial experiments, accelerated stress testing and computer experiments.

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Correspondence to Kai-Tai Fang or Ling-Yau Chan .

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Fang, KT., Chan, LY. (2006). Uniform Design and Its Industrial Applications. In: Pham, H. (eds) Springer Handbook of Engineering Statistics. Springer Handbooks. Springer, London. https://doi.org/10.1007/978-1-84628-288-1_13

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  • DOI: https://doi.org/10.1007/978-1-84628-288-1_13

  • Publisher Name: Springer, London

  • Print ISBN: 978-1-85233-806-0

  • Online ISBN: 978-1-84628-288-1

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