A methodology to D-augment experimental designs

Carlos de la Calle-Arroyo, Mariano Amo-Salas, Jesús López-Fidalgo, Licesio J. Rodríguez-Aragón, Weng Kee Wong

研究成果: Article同行評審

1 引文 斯高帕斯(Scopus)

摘要

One of the main criticisms of optimal experimental designs is that they tend not to adequately meet the practical needs of the experimenter. For example, optimal designs for estimation of the parameters in a model frequently have too few designs points to check the model adequacy, to discriminate between rival models or to estimate a particular function of the parameters. Further, some experimenters like toxicologists have been schooled to using many doses in an animal experiment and there is great resistance to using a design with just a few doses. This paper uses the General Equivalence Theorem to define regions where the practitioner may select points flexibly to augment a design that meets the practical needs more adequately and has a user-specified minimum efficiency requirement. As examples, we demonstrate the usefulness of our theory-based method in various setups using statistical models, such as Antoine's Equation, the Michaelis–Menten model and a quadratic heteroscedastic model. We also explore the power of the lack-of-fit test for several D-augmented designs in a simulation study. We provide user-friendly codes, either through the R package optedr or through a graphical user interface in Shiny, to facilitate practitioners implement our methodology to find an improved D-augmented designs for their problems.

原文English
文章編號104822
期刊Chemometrics and Intelligent Laboratory Systems
237
DOIs
出版狀態Published - 2023 6月 15

All Science Journal Classification (ASJC) codes

  • 分析化學
  • 軟體
  • 電腦科學應用
  • 製程化學與技術
  • 光譜

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