Uniform Design for Experiments with Mixtures

  • Kai-Tai FangEmail author
  • Min-Qian Liu
  • Hong Qin
  • Yong-Dao Zhou
Part of the Lecture Notes in Statistics book series (LNS, volume 221)


This chapter introduces uniform design and modeling for experiments with mixtures and for experiments with restricted mixtures. Firstly, some designs for experiments with mixtures including the Scheffé simplex-lattice, simplex-centroid designs, and axial designs are introduced. Secondly, the uniform design of experiments with mixtures and the corresponding uniformity criteria are introduced. Finally, various modeling techniques for designs with mixtures are given.


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Copyright information

© Springer Nature Singapore Pte Ltd. and Science Press 2018

Authors and Affiliations

  • Kai-Tai Fang
    • 1
    • 2
    Email author
  • Min-Qian Liu
    • 3
  • Hong Qin
    • 4
  • Yong-Dao Zhou
    • 3
  1. 1.Beijing Normal University-Hong Kong Baptist University United International CollegeZhuhaiChina
  2. 2.Institute of Applied MathematicsChinese Academy of SciencesBeijingChina
  3. 3.School of Statistics and Data ScienceNankai UniversityTianjinChina
  4. 4.Faculty of Mathematics and StatisticsCentral China Normal UniversityWuhanChina

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