Brief Article
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World J Methodol. Mar 26, 2013; 3(1): 7-10
Published online Mar 26, 2013. doi: 10.5662/wjm.v3.i1.7
Confidence limit calculation for antidotal potency ratio derived from lethal dose 50
Ananda Manage, Ilona Petrikovics
Ananda Manage, Department of Mathematics and Statistics, Sam Houston State University, Huntsville, TX 77341, United States
Ilona Petrikovics, Department of Chemistry, Sam Houston State University, Huntsville, TX 77341, United States
Author contributions: Manage A derived the confidence interval; Petrikovics I came up with the application and the manuscript was written by both.
Correspondence to: Dr. Ilona Petrikovics, Department of Chemistry, Sam Houston State University, Huntsville, TX 77341, United States. ixp004@shsu.edu
Telephone: +1-936-2944389 Fax: +1-936-2944996
Received: July 25, 2012
Revised: November 5, 2012
Accepted: December 6, 2012
Published online: March 26, 2013
Abstract

AIM: To describe confidence interval calculation for antidotal potency ratios using bootstrap method.

METHODS: We can easily adapt the nonparametric bootstrap method which was invented by Efron to construct confidence intervals in such situations like this. The bootstrap method is a resampling method in which the bootstrap samples are obtained by resampling from the original sample.

RESULTS: The described confidence interval calculation using bootstrap method does not require the sampling distribution antidotal potency ratio. This can serve as a substantial help for toxicologists, who are directed to employ the Dixon up-and-down method with the application of lower number of animals to determine lethal dose 50 values for characterizing the investigated toxic molecules and eventually for characterizing the antidotal protections by the test antidotal systems.

CONCLUSION: The described method can serve as a useful tool in various other applications. Simplicity of the method makes it easier to do the calculation using most of the programming software packages.

Keywords: Up-and-down method, Confidence limit, Potency ratio, Bootstrapping