Volume 11, Issue 3
Modified Turning Point Method for Confidence Interval Estimating on Up-and-Down Data. Application in Pharmacodynamic Research

East Asian J. Appl. Math., 11 (2021), pp. 468-486.

Published online: 2021-05

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• 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.

62P10, 62L12

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@Article{EAJAM-11-468, author = {Mei , WeiWang , FengruYang , Jerry Zhijian and Chang , Zhu}, title = {Modified Turning Point Method for Confidence Interval Estimating on Up-and-Down Data. Application in Pharmacodynamic Research}, journal = {East Asian Journal on Applied Mathematics}, year = {2021}, volume = {11}, number = {3}, pages = {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.

}, issn = {2079-7370}, doi = {https://doi.org/10.4208/eajam.280520.220920}, url = {http://global-sci.org/intro/article_detail/eajam/19137.html} }
TY - JOUR T1 - Modified Turning Point Method for Confidence Interval Estimating on Up-and-Down Data. Application in Pharmacodynamic Research AU - Mei , Wei AU - Wang , Fengru AU - Yang , Jerry Zhijian AU - Chang , Zhu JO - East Asian Journal on Applied Mathematics VL - 3 SP - 468 EP - 486 PY - 2021 DA - 2021/05 SN - 11 DO - http://doi.org/10.4208/eajam.280520.220920 UR - https://global-sci.org/intro/article_detail/eajam/19137.html KW - Up-and-down method, confidence interval, 50% effective dose, modified turning point method, pharmacodynamic research. AB -

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.

Wei Mei, Fengru Wang, Jerry Zhijian Yang & Chang Zhu. (2021). Modified Turning Point Method for Confidence Interval Estimating on Up-and-Down Data. Application in Pharmacodynamic Research. East Asian Journal on Applied Mathematics. 11 (3). 468-486. doi:10.4208/eajam.280520.220920
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