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Modeling daily and weekly moderate and vigorous physical activity using zero-inflated mixture Poisson distribution.

TitleModeling daily and weekly moderate and vigorous physical activity using zero-inflated mixture Poisson distribution.
Publication TypePublication
Year2020
AuthorsXue X, Qi Q, Sotres-Alvarez D, Roesch SC, Llabre MM, Bainter SA, Mossavar-Rahmani Y, Kaplan R, Wang T
JournalStat Med
Volume39
Issue30
Pagination4687-4703
Date Published2020 12 30
ISSN1097-0258
KeywordsComputer Simulation, exercise, Humans, Models, Statistical, Poisson Distribution, Research Design
Abstract

Recently developed accelerometer devices have been used in large epidemiological studies for continuous and objective monitoring of physical activities. Typically, physical movements are summarized as minutes in light, moderate, and vigorous physical activities in each wearing day. Because of preponderance of zeros, zero-inflated distributions have been used for modeling the daily moderate or higher levels of physical activity. Yet, these models do not fully account for variations in daily physical activity and cannot be extended to model weekly physical activity explicitly, while the weekly physical activity is considered as an indicator for a subject's average level of physical activity. To overcome these limitations, we propose to use a zero-inflated Poisson mixture distribution that can model daily and weekly physical activity in same family of mixture distributions. Under this method, the likelihood of an inactive day and the amount of exercise in an active day are simultaneously modeled by a joint random effects model to incorporate heterogeneity across participants. If needed, the method has the flexibility to include an additional random effect to address extra variations in daily physical activity. Maximum likelihood estimation can be obtained through Gaussian quadrature technique, which is implemented conveniently in an R package GLMMadaptive. Method performances are examined using simulation studies. The method is applied to data from the Hispanic Community Health Study/Study of Latinos to examine the relationship between physical activity and BMI groups and within a participant the difference in physical activity between weekends and weekdays.

DOI10.1002/sim.8748
Alternate JournalStat Med
PubMed ID32949036
Grant ListR01 HL136266 / HL / NHLBI NIH HHS / United States
N01HC65233 / HL / NHLBI NIH HHS / United States
N01HC65235 / HL / NHLBI NIH HHS / United States
N01HC65234 / HL / NHLBI NIH HHS / United States
MS#: 
0905
Manuscript Lead/Corresponding Author Affiliation: 
Field Center: Bronx (Einstein College of Medicine)
ECI: 
Manuscript Affiliation: 
Field Center: Bronx (Einstein College of Medicine)
Manuscript Status: 
Published