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D-Optimal Fractions of Three-Level Factorial Designs

 

作者: T.J. Mitchell,   C.K. Bayne,  

 

期刊: Technometrics  (Taylor Available online 1978)
卷期: Volume 20, issue 4  

页码: 369-380

 

ISSN:0040-1706

 

年代: 1978

 

DOI:10.1080/00401706.1978.10489689

 

出版商: Taylor & Francis Group

 

关键词: Balanced array;D-optimal;Factorial effects;Fractional factorial design;Quadratic response surface;Three-level design

 

数据来源: Taylor

 

摘要:

D-optimal fractions of three-level factorial designs forpfactors are constructed for factorial effects models (2 ≤p≤ 4) and quadratic response surface models (2 ≤p≤ 5). These designs are generated using an exchange algorithm for maximizing |X′X| and an algorithm which produces D-optimal balanced array designs. The design properties for the DETMAX designs and the balanced array designs are tabulated. An example is given to illustrate the use of such designs.

 

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