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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th-cmuir.6653943832-490252018-08-16T02:13:04Z Efficient geometric and uniform design strategies for sigmoidal regression models Timothy E. O'Brien Suree Chooprateep Nontiya Homkham Decision Sciences Mathematics 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. 2018-08-16T02:08:32Z 2018-08-16T02:08:32Z 2009-07-15 Journal 0038271X 2-s2.0-67650136138 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67650136138&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49025 |
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Decision Sciences Mathematics Timothy E. O'Brien Suree Chooprateep Nontiya Homkham Efficient geometric and uniform design strategies for sigmoidal regression models |
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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. |
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Journal |
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Timothy E. O'Brien Suree Chooprateep Nontiya Homkham |
author_facet |
Timothy E. O'Brien Suree Chooprateep Nontiya Homkham |
author_sort |
Timothy E. O'Brien |
title |
Efficient geometric and uniform design strategies for sigmoidal regression models |
title_short |
Efficient geometric and uniform design strategies for sigmoidal regression models |
title_full |
Efficient geometric and uniform design strategies for sigmoidal regression models |
title_fullStr |
Efficient geometric and uniform design strategies for sigmoidal regression models |
title_full_unstemmed |
Efficient geometric and uniform design strategies for sigmoidal regression models |
title_sort |
efficient geometric and uniform design strategies for sigmoidal regression models |
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2018 |
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https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=67650136138&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/49025 |
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