TY - JOUR
T1 - Bayesian optimal designs for estimating a set of symmetrical quantiles
AU - Zhu, Wei
AU - Kee Wong, Weng
PY - 2001/1/15
Y1 - 2001/1/15
N2 - We propose multiple-objective Bayesian optimal designs for the logit model. As an example, we consider the design problem for estimating several percentiles with possibly unequal interest in each of the percentiles. Characteristics of these designs are studied and illustrated for the case when the interest lies in estimating the three quartiles. We compare these optimal designs with the sequential designs generated via a generalized Póya urn model and found the latter to be highly efficient. In addition, comparisons are made between locally optimal designs and Bayesian optimal designs.
AB - We propose multiple-objective Bayesian optimal designs for the logit model. As an example, we consider the design problem for estimating several percentiles with possibly unequal interest in each of the percentiles. Characteristics of these designs are studied and illustrated for the case when the interest lies in estimating the three quartiles. We compare these optimal designs with the sequential designs generated via a generalized Póya urn model and found the latter to be highly efficient. In addition, comparisons are made between locally optimal designs and Bayesian optimal designs.
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U2 - 10.1002/1097-0258(20010115)20:1<123::AID-SIM643>3.0.CO;2-5
DO - 10.1002/1097-0258(20010115)20:1<123::AID-SIM643>3.0.CO;2-5
M3 - Article
C2 - 11135352
AN - SCOPUS:0035863062
SN - 0277-6715
VL - 20
SP - 123
EP - 137
JO - Statistics in Medicine
JF - Statistics in Medicine
IS - 1
ER -