December 2023 Bayesian hierarchical modeling and analysis for actigraph data from wearable devices
Pierfrancesco Alaimo Di Loro, Marco Mingione, Jonah Lipsitt, Christina M. Batteate, Michael Jerrett, Sudipto Banerjee
Author Affiliations +
Ann. Appl. Stat. 17(4): 2865-2886 (December 2023). DOI: 10.1214/23-AOAS1742

Abstract

The majority of Americans fail to achieve recommended levels of physical activity, which leads to numerous preventable health problems, such as diabetes, hypertension, and heart diseases. This has generated substantial interest in monitoring human activity to gear interventions toward environmental features that may relate to higher physical activity. Wearable devices, such as wrist-worn sensors that monitor gross motor activity (actigraph units) continuously record the activity levels of a subject, producing massive amounts of high-resolution measurements. Analyzing actigraph data needs to account for spatial and temporal information on trajectories or paths traversed by subjects wearing such devices. Inferential objectives include estimating a subject’s physical activity levels along a given trajectory, identifying trajectories that are more likely to produce higher levels of physical activity for a given subject, and predicting expected levels of physical activity in any proposed new trajectory for a given set of health attributes. Here, we devise a Bayesian hierarchical modeling framework for spatial-temporal actigraphy data to deliver fully model-based inference on trajectories while accounting for subject-level health attributes and spatial-temporal dependencies. We undertake a comprehensive analysis of an original dataset from the Physical Activity through Sustainable Transport Approaches in Los Angeles (PASTA-LA) study to ascertain spatial zones and trajectories exhibiting significantly higher levels of physical activity while accounting for various sources of heterogeneity.

Funding Statement

Sudipto Banerjee was supported, in part, by National Science Foundation (NSF) under grants DMS-2113778, DMS-1916349, and IIS-1562303. Sudipto Banerjee and Michael B. Jerrett have been supported by the National Institute of Environmental Health Sciences (NIEHS) under grants R01ES030210 and 5R01ES027027. The authors also acknowledge support from the NIOSH Education Research Center, the Center for Occupational and Environmental Health, and the UCLA Department of Transportation for this work. Finally, the authors acknowledge support for the survey administration from the EU Physical Activity through Sustainable Transport Approaches (PASTA) team members https://www.pastaproject.eu/. Pierfrancesco Alaimo Di Loro was supported, in part, by the Fulbright Scholarship Program, category Graduate Study - Visiting Student Researcher

Acknowledgments

The authors thank the Editor, Associate Editor, and two anonymous reviewers for several helpful comments and suggestions.

Citation

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Pierfrancesco Alaimo Di Loro. Marco Mingione. Jonah Lipsitt. Christina M. Batteate. Michael Jerrett. Sudipto Banerjee. "Bayesian hierarchical modeling and analysis for actigraph data from wearable devices." Ann. Appl. Stat. 17 (4) 2865 - 2886, December 2023. https://doi.org/10.1214/23-AOAS1742

Information

Received: 1 November 2022; Revised: 1 February 2023; Published: December 2023
First available in Project Euclid: 30 October 2023

MathSciNet: MR4661679
Digital Object Identifier: 10.1214/23-AOAS1742

Keywords: Bayesian hierarchical models , Directed acyclic graph , Gaussian processes , physical activity , Sparsity , spatial-temporal statistics

Rights: Copyright © 2023 Institute of Mathematical Statistics

Vol.17 • No. 4 • December 2023
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