Weighted A-optimality for fractional 2m factorial designs of resolution V

✍ Scribed by Teruhiro Shirakura; Wei-Ping Tong

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 623 KB
• Volume: 56
• Category: Article
• ISSN: 0378-3758
• DOI: 10.1016/s0378-3758(96)00021-3

✦ Synopsis

A weighted A-optimality (WA-optimality) criterion is discussed for selecting a fractional 2" factorial design of resolution V. A WA-optimality criterion having one weight may be considered for designs. It is shown that designs derived from orthogonal arrays are WA-optimal for any weight. From a WA-optimal design, a procedure for finding WA-optimal designs for various weights is given. WA-optimal balanced designs are presented for 4 ~< m ~< 7 and for the values of n assemblies in certain ranges. It is pointed out that designs for m ---7 and for n = 41, 42 given in Chopra and Srivastava (1973a) or in the corrected paper by Chopra et al. (1986), are not A-optimal.