Optimal designs for asymmetric sigmoidal response curves in bioassays and immunoassays

Seung Won Hyun, Weng Kee Wong, Yarong Yang

Research output: Contribution to journalArticlepeer-review


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)
Pages (from-to)421-436
Number of pages16
JournalStatistical Methods in Medical Research
Issue number2
StatePublished - Feb 1 2020
Externally publishedYes


  • 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

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