Efficient geometric and uniform design strategies for sigmoidal regression models

This paper provides practical guidelines for choosing efficient geometric and uniform designs for the logistic class of dose-response bioassay model functions in both the homoskedastic Gaussian and Binomial settings. The efficiencies of the designs provided here are typically above 90%, and since th...

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Bibliographic Details
Main Authors: O'Brien T.E., Chooprateep S., Homkham N.
Format: Article
Language:English
Published: 2014
Online Access:http://www.scopus.com/inward/record.url?eid=2-s2.0-67650136138&partnerID=40&md5=507f95c1657f3d1bdfcea8776877eec7
http://cmuir.cmu.ac.th/handle/6653943832/5850
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Institution: Chiang Mai University
Language: English
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Summary:This paper provides practical guidelines for choosing efficient geometric and uniform designs for the logistic class of dose-response bioassay model functions in both the homoskedastic Gaussian and Binomial settings. The efficiencies of the designs provided here are typically above 90%, and since the number of design support points generally exceeds the number of parameters, these designs provide a useful and efficient means to confirm the assumed model. Extensions of our basic strategy include a Bayesian maxi-min design approach to reflect a range of values of the initial parameter estimates, as well as geometric/uniform design analogues when uncertainty exists as to the correct scale or to take account of curvature.