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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:On connections between orthogonal arrays and D-opt
imal designs for certain generalized linear models
with group effects - Stufken\, J (Arizona State U
niversity)
DTSTART;TZID=Europe/London:20150710T161500
DTEND;TZID=Europe/London:20150710T170000
UID:TALK60104AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/60104
DESCRIPTION:We consider generalized linear models in which the
linear predictor depends on a single quantitative
variable and on multiple factorial effects. For e
ach level combination of the factorial effects (or
run\, for short)\, a design specifies the number
of values of the quantitative variable (or values\
, for short) that are to be used\, and also specif
ies what those values are. Moreover\, a design inf
orms us for each combinations of runs and values w
hat proportion of times that it should be used. St
ufken and Yang (2012\, Statistica Sinica) obtained
complete class results for locally optimal design
s for such models. The complete classes that they
found consisted of designs with at most two values
for each run. Many optimal designs found numerica
lly in these complete classes turned out to have p
recisely two values for each run\, resulting in de
signs with a large support size. Focusing on D-opt
imality\, we show that under certain assumptions f
or the linear predictor\, optimal designs with sma
ller support sizes can be found through the use of
orthogonal arrays. This work is joined with Xijue
Tan\, and was part of his PhD dissertation at the
University of Georgia. \n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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