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SUMMARY:On connections between orthogonal arrays and D-optimal designs for
  certain generalized linear models with group effects - Stufken\, J (Arizo
 na State University)
DTSTART:20150710T151500Z
DTEND:20150710T160000Z
UID:TALK60104@talks.cam.ac.uk
CONTACT:42080
DESCRIPTION:We consider generalized linear models in which the linear pred
 ictor depends on a single quantitative variable and on multiple factorial 
 effects. For each level combination of the factorial effects (or run\, for
  short)\, a design specifies the number of values of the quantitative vari
 able (or values\, for short) that are to be used\, and also specifies what
  those values are. Moreover\, a design informs us for each combinations of
  runs and values what proportion of times that it should be used. Stufken 
 and Yang (2012\, Statistica Sinica) obtained complete class results for lo
 cally optimal designs for such models. The complete classes that they foun
 d consisted of designs with at most two values for each run. Many optimal 
 designs found numerically in these complete classes turned out to have pre
 cisely two values for each run\, resulting in designs with a large support
  size. Focusing on D-optimality\, we show that under certain assumptions f
 or the linear predictor\, optimal designs with smaller support sizes can b
 e found through the use of orthogonal arrays. This work is joined with Xij
 ue Tan\, and was part of his PhD dissertation at the University of Georgia
 . \n
LOCATION:Seminar Room 1\, Newton Institute
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