Optimal designs for asymmetric sigmoidal response curves in bioassays and immunoassays

Seung Won Hyun, Weng Kee Wong, Yarong Yang

Research output: Contribution to journalArticle

Abstract

The 5-parameter logistic (5PL) model is frequently used to model and analyze responses from bioassays and immunoassays which can be skewed. Various types of optimal experimental designs for 2, 3 and 4-parameter logistic models have been reported but not for the more complicated 5PL model. We construct different types of optimal designs for studying various features of the 5PL model and show that commonly used designs in bioassays and immunoassays are generally inefficient for statistical inference. To facilitate use of such designs in practice, we create a user-friendly software package to generate various tailor-made optimal designs for the 5PL model and evaluate robustness properties of a design under a variation of criteria, model forms and misspecification in the nominal values of the model parameters.

Original languageEnglish (US)
JournalStatistical Methods in Medical Research
DOIs
StatePublished - Jan 1 2019

Fingerprint

Immunoassay
Bioassay
Biological Assay
Logistic Model
Logistic Models
Curve
Optimal Experimental Design
Misspecification
Statistical Inference
Software Package
Research Design
Software
Categorical or nominal
Model
Robustness
Evaluate
Design

Keywords

  • Approximate design
  • D-optimal design
  • asymmetric calibration curves
  • cD-optimal design
  • robust optimal design
  • toxicology

ASJC Scopus subject areas

  • Epidemiology
  • Statistics and Probability
  • Health Information Management

Cite this

Optimal designs for asymmetric sigmoidal response curves in bioassays and immunoassays. / Hyun, Seung Won; Wong, Weng Kee; Yang, Yarong.

In: Statistical Methods in Medical Research, 01.01.2019.

Research output: Contribution to journalArticle

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