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Modeling Circadian Influences on Actigraphy Data With Zero-inflatet Poisson Distribution

Wang, Wei and Wyatt, J. K. and Cohen, D. and Aeschbach, D. and Gronfier, C. and Beckett, S. A. and Mankowski, P. and Czeisler, C. A. and Klerman, E. B. (2013) Modeling Circadian Influences on Actigraphy Data With Zero-inflatet Poisson Distribution. In: Sleep, 36 (Abstract Supplement). Sleep Congress 2013, 01.-05. Juni 2013, Baltimore, USA.

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Abstract

ABSTRACT BODY: Introduction : Actigraphy is commonly used as a non-invasive method to study sleep/wake patterns. We decided to explore two aspects of actigraphy data. (1) We investigated whether there were circadian rhythms in actigraphy counts independent of prior wake or sleep duration. For this we used data from inpatient forced desychrony (FD) studies in which sleep and wake were evenly distributed across all circadian phases. (2) Since understanding the underlying statistical distribution and correlation structure of the activity data is required for performing appropriate statistics, we applied a Zero-Inflated Poisson (ZIP) regression model to analyze the longitudinal count data that contain extra zeros and correlated data from the same individual. Methods : Fifty healthy young (19-34 years; 16F) participants with no medical, psychological or sleep disorders and using no medications or caffeine were studied in inpatient FD protocols with sleep/wake cycle (T) durations: T=20 hr (Wyatt 1999), T=28 hr (Gronfier 2007), T=42.85 hr (Wyatt 2004, Grady 2010) with a 2:1 wake:sleep ratio and T=42.85hr (Cohen 2010) with a 3.3:1 wake:sleep ratio. Participants wore an actiwatch on the non-dominant wrist at all times. Data were divided into ~4-hr circadian bins (adjusted for each individual’s circadian period estimated from melatonin data). Actigraphy data were tested for statistically Normal, Poisson and ZIP distributions. Twelve participants from this dataset are included here. Light level (illuminance) was tested as a covariate. Results : The distribution of activity counts was not statistically Normal or Poisson, whereas the zero-Inflated Poisson (ZIP) model provided an appropriate fit. There was a difference in activity between circadian bins (P<0.0001), with the lowest levels at the time of the fitted melatonin maximum, independent of sleep/wake state or prior wake or sleep duration. Light level also had a positive influence on activity counts (P<0.0001). Conclusion: Results from ZIP models suggest that the distribution of activity counts is zero-inflated and there is strong circadian variation. This model provides a useful statistical tool to analyze circadian rhythms in such activity count data. Summary statistics (e.g., mean and standard deviation) based on statistically Normal distributions should not be used on actigraphy data, since the results may be misleading. Future work will include: (i) adding data from more participants; and (ii) analysis of the effects of prior time awake or sleep on actigraphy counts.

Item URL in elib:https://elib.dlr.de/84522/
Document Type:Conference or Workshop Item (Speech)
Title:Modeling Circadian Influences on Actigraphy Data With Zero-inflatet Poisson Distribution
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Wang, WeiUNSPECIFIEDUNSPECIFIED
Wyatt, J. K.UNSPECIFIEDUNSPECIFIED
Cohen, D.UNSPECIFIEDUNSPECIFIED
Aeschbach, D.daniel.aeschbach (at) dlr.deUNSPECIFIED
Gronfier, C.UNSPECIFIEDUNSPECIFIED
Beckett, S. A.UNSPECIFIEDUNSPECIFIED
Mankowski, P.UNSPECIFIEDUNSPECIFIED
Czeisler, C. A.UNSPECIFIEDUNSPECIFIED
Klerman, E. B.UNSPECIFIEDUNSPECIFIED
Date:2013
Journal or Publication Title:Sleep
Refereed publication:No
Open Access:No
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:No
Volume:36
Status:Published
Keywords:Actigraphy, Circadian rhythm, Zero-inflated poisson regression
Event Title:Sleep Congress 2013
Event Location:Baltimore, USA
Event Type:international Conference
Event Dates:01.-05. Juni 2013
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:ATM and Operation (old)
DLR - Research area:Aeronautics
DLR - Program:L AO - Air Traffic Management and Operation
DLR - Research theme (Project):L - Human Factors and Safety in Aeronautics (old)
Location: Köln-Porz
Institutes and Institutions:Institute of Aerospace Medicine > Flight Physiology
Deposited By: Sender, Alina
Deposited On:15 Nov 2013 12:45
Last Modified:08 May 2014 23:25

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