The R Journal: article published in 2019, volume 11:2

dr4pl: A Stable Convergence Algorithm for the 4 Parameter Logistic Model PDF download
Hyowon An, Justin T. Landis, Aubrey G. Bailey, James S. Marron and Dirk P. Dittmer , The R Journal (2019) 11:2, pages 171-190.

Abstract The 4 Parameter Logistic (4PL) model has been recognized as a major tool to analyze the relationship between doses and responses in pharmacological experiments. A main strength of this model is that each parameter contributes an intuitive meaning enhancing interpretability of a fitted model. However, implementing the 4PL model using conventional statistical software often encounters numerical errors. This paper highlights the issue of convergence failure and presents several causes with solutions. These causes include outliers and a non-logistic data shape, so useful remedies such as robust estimation, outlier diagnostics and constrained optimization are proposed. These features are implemented in a new R package dr4pl (Dose-Response analysis using the 4 Parameter Logistic model) whose code examples are presented as a separate section. Our R package dr4pl is shown to work well for data sets where the traditional dose-response modelling packages drc and nplr fail.

Received: 2018-04-04; online 2019-07-30, supplementary material, (4.1 KiB)
CRAN packages: dr4pl, drc, nplr
CRAN Task Views implied by cited CRAN packages: ChemPhys

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This article and supplementary materials are licensed under a Creative Commons Attribution 4.0 International license.

  author = {Hyowon An and Justin T. Landis and Aubrey G. Bailey and
          James S. Marron and Dirk P. Dittmer},
  title = {{dr4pl: A Stable Convergence Algorithm for the 4 Parameter
          Logistic Model}},
  year = {2019},
  journal = {{The R Journal}},
  doi = {10.32614/RJ-2019-003},
  url = {},
  pages = {171--190},
  volume = {11},
  number = {2}