Optimal Designs for a Probit Model With a Quadratic Term

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

This article studies optimal designs to analyze dose-response functions with a downturn. Two interesting challenges are estimating the entire dose-response curve and estimating the ED50. Here, I obtain and compare optimal designs for these objectives, separately and together in a two-stage design. I adopt a probit model with a quadratic term to describe the dose-response. Under the probit model, Yang's method is used to obtain the minimal number of support points that maximize any concave function of the Fisher information matrix. Optimal designs are obtained based on the minimal number of support points, and their efficiencies are compared.

Original languageEnglish (US)
Pages (from-to)18-26
Number of pages9
JournalStatistics in Biopharmaceutical Research
Volume5
Issue number1
DOIs
StatePublished - Mar 1 2013

Fingerprint

Probit Model
Support Point
Dose-response
Term
Two-stage Design
Dose-response Curve
Fisher Information Matrix
Concave function
Response Function
Maximise
Entire

Keywords

  • Dose-response
  • ED
  • Experimental design
  • Optimality
  • Toxicology

ASJC Scopus subject areas

  • Statistics and Probability
  • Pharmaceutical Science

Cite this

Optimal Designs for a Probit Model With a Quadratic Term. / Hyun, Seung Won.

In: Statistics in Biopharmaceutical Research, Vol. 5, No. 1, 01.03.2013, p. 18-26.

Research output: Contribution to journalArticle

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