Bayesian Experimental Design - Mathematical Sciences Home Pages
Bayesian Experimental Design - Mathematical Sciences Home Pages
Bayesian Experimental Design - Mathematical Sciences Home Pages
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thepolynomialattherststage,asrepresentedbytheratiobetweensampleandprior<br />
0.0 0.08<br />
0.0 0.10 0.20<br />
0.0 0.15<br />
0.0 0.2<br />
delta=0.00<br />
delta=0.25<br />
delta=0.50<br />
0.0 0.06<br />
0.0 0.10<br />
0.0 0.15<br />
delta=0.00<br />
delta=0.25<br />
delta=0.50<br />
delta=1.00<br />
delta=1.00<br />
variances.Theoptimalproportionsofobservationsonthetgroupsvaryfromthenon- Figure1<br />
delta=3.00<br />
delta=3.00<br />
<strong>Bayesian</strong>D-optimaldesignfortheonewaymodeli=1=t,whenissmall,tothenon- LeftD-optimalproportionsfork=7groupsandastraightlineattherststageoftheprior<br />
<strong>Bayesian</strong>D-optimaldesignsforthepolynomialchosenwhenislarge.Thislastcasecor- RightD-optimalproportionsfork=9groupsandaparabolaattherststageoftheprior<br />
respondstoassumingastrongpriorknowledgeaboutthepolynomialrelationshipforthet<br />
delta=6.00<br />
delta=6.00<br />
groups,whilenotconsideringtheone-waystructureparticularlyrelevant. 26<br />
0.0 0.2 0.4<br />
0.0 0.2 0.4<br />
0.0 0.15 0.30<br />
0.0 0.15<br />
0.0 0.2
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