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SUMMARY:Constructing and Assessing Exact G-Optimal Designs - Montgomery\, 
 D (Arizona State)
DTSTART:20110830T130000Z
DTEND:20110830T133000Z
UID:TALK32559@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Methods for constructing G-optimal designs are reviewed. A new
  and very efficient algorithm for generating near G-optimal designs is int
 roduced\, and employed to construct designs for second-order models over c
 uboidal regions. The algorithm involves the use of Brents minimization alg
 orithm with coordinate exchange to create designs for 2 to 5 factors. Desi
 gns created using this new method either match or exceed the G-efficiency 
 of previously reported designs. A new graphical tool\, the variance ratio 
 fraction of design space (VRFDS) plot\, is used for comparison of the pred
 iction variance for competing designs over a given region of interest. Usi
 ng the VRFDS plot to compare G-optimal designs to I-optimal designs shows 
 that the G-optimal designs have higher prediction variance over the vast m
 ajority of the design region. This suggests that\, for many response surfa
 ce studies\, I-optimal designs may be superior to G-optimal designs.\n
LOCATION:Seminar Room 1\, Newton Institute
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