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Youden’s J and the Bi Error Method

Conference paper
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Part of the Lecture Notes in Networks and Systems book series (LNNS, volume 284)

Abstract

Incorrect usage of p-values, particularly within the context of significance testing using the arbitrary .05 threshold, has become a major problem in modern statistical practice. The prevalence of this problem can be traced back to the context-free 5-step method commonly taught to undergraduates: we teach it because it is what is done, and we do it because it is what we are taught. This hold particularly true for practitioners of statistics who are not formal statisticians. Thus, in order to improve scientific practice and overcome statistical dichotomania, an accessible replacement for the 5-step method is warranted. We propose a method foundational on the utilization of the Youden Index as a potential decision threshold, which has been shown in the literature to be effective in conjunction with neutral zones. Unlike the traditional 5-step method, our 5-step method (the Bi Error method) allows for neutral results, does not require p-values, and does not provide any default threshold values. Instead, our method explicitly requires contextual error analysis as well as quantification of statistical power. Furthermore, and in part due to its lack of usage of p-values, the method sports improved accessibility. This accessibility is supported by a generalized analytical derivation of the Youden Index.

Keywords

Youden Index p-Value Type II error 

Notes

Acknowledgment

We wish to thank Dr. Lynne Stokes and the two reviewers for their feedback, which substantially improved the paper. We additionally thank Dr. Dan Jeske for introducing us to the literature on hypothesis testing with neutral zones, as well as Michael Watts and Austin Marstaller for proofreading the manuscript.

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Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2021

Authors and Affiliations

  1. 1.Statistical ScienceSouthern Methodist UniversityDallasUSA

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