Bootstrap Prediction and Confidence Bands for Frequency Response Functions in Posturography

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1. Verfasser: Lippi, Vittorio
Format: Preprint
Veröffentlicht: 2025
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author Lippi, Vittorio
author_facet Lippi, Vittorio
contents The frequency response function (FRF) is an established way to describe the outcome of experiments in posture control literature. The FRF is an empirical transfer function between an input stimulus and the induced body segment sway profile, represented as a vector of complex values associated with a vector of frequencies. For this reason, testing the components of the FRF independently with Bonferroni correction can result in a too-conservative approach. Performing statistics on scalar values defined on the FRF, e.g., comparing the averages, implies an arbitrary decision by the experimenter. This work proposes bootstrap prediction and confidence bands as general methods to evaluate the outcome of posture control experiments, overcoming the foretold limitations of previously used approaches.
format Preprint
id arxiv_https___arxiv_org_abs_2504_20588
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Bootstrap Prediction and Confidence Bands for Frequency Response Functions in Posturography
Lippi, Vittorio
Applications
Neurons and Cognition
The frequency response function (FRF) is an established way to describe the outcome of experiments in posture control literature. The FRF is an empirical transfer function between an input stimulus and the induced body segment sway profile, represented as a vector of complex values associated with a vector of frequencies. For this reason, testing the components of the FRF independently with Bonferroni correction can result in a too-conservative approach. Performing statistics on scalar values defined on the FRF, e.g., comparing the averages, implies an arbitrary decision by the experimenter. This work proposes bootstrap prediction and confidence bands as general methods to evaluate the outcome of posture control experiments, overcoming the foretold limitations of previously used approaches.
title Bootstrap Prediction and Confidence Bands for Frequency Response Functions in Posturography
topic Applications
Neurons and Cognition
url https://arxiv.org/abs/2504.20588