Choosing near-linear parameters in the four-parameter logistic model for radioligand and related assays

Biometrics. 1986 Sep;42(3):575-82.


Ten parameters extracted from six currently used parametrizations of the four-parameter logistic model, and one new proposal, were examined for their statistical behavior in nonlinear least-squares estimation in combination with ELISA and RIA data. Those which are adequately near-linear on the basis of the Lowry-Morton lambda statistic were identified and can be recommended for use in practice.

MeSH terms

  • Enzyme-Linked Immunosorbent Assay / methods
  • Humans
  • Immunoglobulin E / analysis
  • Luteinizing Hormone / analysis
  • Mathematics
  • Models, Theoretical
  • Radioimmunoassay / methods
  • Radioligand Assay / methods*
  • Vitamin B 12 / analysis


  • Immunoglobulin E
  • Luteinizing Hormone
  • Vitamin B 12