A web-based tool for designing experimental studies to detect hormesis and estimate the threshold dose

DOI10.1007/S00362-018-1038-5zbMath1408.62181OpenAlexW2889855114WikidataQ92730493 ScholiaQ92730493MaRDI QIDQ1757242

Víctor Casero-Alonso, Andrey Pepelyshev, Weng-Keen Wong

Publication date: 3 January 2019

Published in: Statistical Papers (Search for Journal in Brave)

Full work available at URL: http://europepmc.org/articles/pmc6435306

zbMATH Keywords

risk assessmenttoxicologyapproximate design\(D\)-efficiencyZEP dose

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Optimal statistical designs (62K05)

Uses Software

• R
• shiny

Cites Work

• Minimax optimal designs via particle swarm optimization methods
• Robustness properties of \(A\)-,\(D\)-, and \(E\)-optimal designs for polynomial growth models with autocorrelated errors
• An algorithm based on semidefinite programming for finding minimax optimal designs
• Comparing robust properties of A, D, E and G-optimal designs
• Optimal designs for model discrimination and fitting for the flow of particles
• The Equivalence of Two Extremum Problems
• Locally and maximin optimal designs for multi-factor nonlinear models
• The design of experiments for discriminating between two rival models
• Testing Threshold and Hormesis in a Random Effects Dose-Response Model Applied to Developmental Toxicity Data
• An Optimal Experimental Design Criterion for Discriminating Between Non-Normal Models
• An extension of the General Equivalence Theorem to nonlinear models
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