Optimal designs for criteria involving log(potency) in comparative binary bioassays

Smith, D.M. and Ridout, Martin S. Optimal designs for criteria involving log(potency) in comparative binary bioassays. Journal of Statistical Planning and Inference, 113 . pp. 617-632. ISSN 0378-3758. (The full text of this publication is not available from this repository)

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Abstract

Optimal designs are investigated for bioassays involving two parallel dose–response relationships, where estimating relative potency is the main interest. Local and Bayesian D-optimal designs are considered, as well as Ds-optimal designs where the mean response of one substance (standard) is regarded as of no interest. A range of link functions relating expected response to log(dose) are considered. The range of prior distributions used for the Bayesian optimal designs includes uniform, trivariate normal and a bivariate normal with an independent uniform for log(potency). Because of the lack of closed form solutions for Bayesian optimal designs, much of the investigation is numerical and extends work pertaining to a single binary dose–response.

Item Type: Article
Subjects: Q Science > QA Mathematics (inc Computing science) > QA276 Mathematical statistics
Divisions: Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Statistics
Depositing User: Martin S Ridout
Date Deposited: 29 Jun 2011 15:20
Last Modified: 09 May 2014 13:10
Resource URI: http://kar.kent.ac.uk/id/eprint/9084 (The current URI for this page, for reference purposes)
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