Journal of Jishou University(Natural Sciences Edition) ›› 2023, Vol. 44 ›› Issue (3): 1-7.DOI: 10.13438/j.cnki.jdzk.2023.03.001

• Mathematics •     Next Articles

Construction and Properties of Two-Level Optimal Column Augmented Designs

ZHANG Shixian,TIAN Jiezhong,BAI Qiming,LI Hongyi   

  1. (College of Mathematics and Statistics,Jishou University,Jishou 416000,Hunan China)
  • Online:2023-05-25 Published:2023-06-16
  • Contact: 李洪毅(1978—),女,湖南沅陵人,吉首大学数学与统计学院教授,博士,主要从事试验设计与应用统计研究.

Abstract: In order to construct augmented designs more flexibly,the author uses a method without computer search which begins with an initial design with less number of columns and transforms by some rules to construct two-level optimal column augmented designs.In addition,the relationship between the column augmented designs and their initial designs is discussed under the E(s) criterion,the generalized minimum aberration criterion and the minimum moment aberration criterion.

Key words: column augmented designs, E(s), generalized minimum aberration, minimum moment aberration

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