Modified Turning Point Method for Confidence Interval Estimating on Up-and-Down Data. Application in Pharmacodynamic Research
Year: 2021
Author: Wei Mei, Fengru Wang, Jerry Zhijian Yang, Zhu Chang
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 468–486
Abstract
The standard method of dealing with sensitive data is developed by Bliss and Fisher. The up-and-down method is one of the most important methods in sensitive experiments. Originated in an explosion experiment in Bruceton, Pennsylvania, in 1940, it is widely used in military and pharmaceutical research since then. Here we introduce a modified function based on the Choi turning point estimation [11] and compare it with three estimations — viz. with Dixon-Mood method, logistic regression, and isotonic regression. In order to estimate the confidence interval of ED50, we also developed an $R$ package ed50simulation and employed it in pharmacodynamic research.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/eajam.280520.220920
East Asian Journal on Applied Mathematics, Vol. 11 (2021), Iss. 3 : pp. 468–486
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 19
Keywords: Up-and-down method confidence interval 50% effective dose modified turning point method pharmacodynamic research.