Optimal design strategies for relative potency using the two-parameter log-logistic model

Optimal design strategies for relative potency using the two-parameter log-logistic model

© 2016 - IOS Press and the authors. All rights reserved. In this paper, we focus on the D- and Ds-optimal designs for two-parameter log-logistic (LL2) relative potency model where the response variables are normal and binomial distributions. The D- and Ds-optimal designs are obtained by using D-opti...

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Main Authors: Pattaraporn Tusto, Timothy E. O'Brien, Montip Tiensuwan
Other Authors: Mahidol University
Format: Article
Published: 2018
Subjects:
Mathematics
Online Access:https://repository.li.mahidol.ac.th/handle/123456789/40935
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spelling th-mahidol.409352019-03-14T15:01:52Z Optimal design strategies for relative potency using the two-parameter log-logistic model Pattaraporn Tusto Timothy E. O'Brien Montip Tiensuwan Mahidol University Loyola University of Chicago South Carolina Commission on Higher Education Mathematics © 2016 - IOS Press and the authors. All rights reserved. In this paper, we focus on the D- and Ds-optimal designs for two-parameter log-logistic (LL2) relative potency model where the response variables are normal and binomial distributions. The D- and Ds-optimal designs are obtained by using D-optimal design and nesting strategy criterions, respectively. Furthermore, the general equivalence theorems is used to guarantee the D- and Ds-optimal designs. The results show that we obtain four support points for D-optimal designs and two support points for Ds-optimal designs. 2018-12-11T03:12:45Z 2019-03-14T08:01:52Z 2018-12-11T03:12:45Z 2019-03-14T08:01:52Z 2016-04-13 Article Model Assisted Statistics and Applications. Vol.11, No.2 (2016), 109-123 10.3233/MAS-150357 15741699 2-s2.0-84965020930 https://repository.li.mahidol.ac.th/handle/123456789/40935 Mahidol University SCOPUS https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84965020930&origin=inward
institution Mahidol University
building Mahidol University Library
continent Asia
country Thailand
Thailand
content_provider Mahidol University Library
collection Mahidol University Institutional Repository
topic Mathematics
spellingShingle Mathematics
Pattaraporn Tusto
Timothy E. O'Brien
Montip Tiensuwan
Optimal design strategies for relative potency using the two-parameter log-logistic model
description © 2016 - IOS Press and the authors. All rights reserved. In this paper, we focus on the D- and Ds-optimal designs for two-parameter log-logistic (LL2) relative potency model where the response variables are normal and binomial distributions. The D- and Ds-optimal designs are obtained by using D-optimal design and nesting strategy criterions, respectively. Furthermore, the general equivalence theorems is used to guarantee the D- and Ds-optimal designs. The results show that we obtain four support points for D-optimal designs and two support points for Ds-optimal designs.
author2 Mahidol University
author_facet Mahidol University
Pattaraporn Tusto
Timothy E. O'Brien
Montip Tiensuwan
format Article
author Pattaraporn Tusto
Timothy E. O'Brien
Montip Tiensuwan
author_sort Pattaraporn Tusto
title Optimal design strategies for relative potency using the two-parameter log-logistic model
title_short Optimal design strategies for relative potency using the two-parameter log-logistic model
title_full Optimal design strategies for relative potency using the two-parameter log-logistic model
title_fullStr Optimal design strategies for relative potency using the two-parameter log-logistic model
title_full_unstemmed Optimal design strategies for relative potency using the two-parameter log-logistic model
title_sort optimal design strategies for relative potency using the two-parameter log-logistic model
publishDate 2018
url https://repository.li.mahidol.ac.th/handle/123456789/40935
_version_ 1763497628992012288

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