Investigation of FWER and Power for Methodological Changes Introduced in the BDOTS R Package

Collin Nolte

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arXiv · 2503.17495

Investigation of FWER and Power for Methodological Changes Introduced in the BDOTS R Package

Collin Nolte

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Abstract

In 2025, we identified a methodological issue in the bootstrapped differences of times series (BDOTS) first introduced in 2017 resulting in a significant inflation of the family-wise error rate. The goal of the present manuscript is threefold: to identify the problem in the original methodology, to present two alternative solutions, and to compare estimates of the FWER and power of each of the considered methods across a variety of experimental conditions. We find conclusive evidence that the original BDOTS method does inflate the FWER, while each of the proposed alternatives maintain a FWER much closer to the nominal rate. Additionally, we demonstrate the relationship between power and effect size for each of the proposed methods. In total, the results presented justify the methodological changes presented in the new iteration of the bdots package.

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Collin Nolte. 2025-03-21. Investigation of FWER and Power for Methodological Changes Introduced in the BDOTS R Package. https://arxiv.org/abs/2503.17495

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