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A Stationarity Analysis of Fumnctional Magnetic Resonance Imaging Time Series from Motor and Auditory Tasks

 Michiro Negishi, Stephen Jose Hanson and Benjamin Martin Bly
  
 

Abstract:
Although often ignored in practice, it is acknowledged that functional Magnetic Resonance Image (fMRI) time series are sometimes nonstationary. It is important to know about nonstationarity because some statistical procedures assume stationarity, and also because nonstationarity itself may indicate some underlying physiological process which provide richer information than conventional methods do. We applied a test of nonstationarity developed by Kwiatkowski, Phillips, Schmidt and Shin (1992) to fMRI data collected from a motor task and an auditory task. This method tests if the time series contains a random-walk component. The null hypothesis is that there is no random-walk component and thus the time series is stationary. In the auditory task, a subject listened to an intermittent pure tones. In the motor task, another subject performed intermittent fingertapping. Functional MRI data were acquired with a 1.5T magnet every 200 msec. for 30 sec. We found that 20% and 21% of the pixels within the brain were nonstationary for motor and auditory tasks respectively (p=0.0025). We also found that brain regions that yield high scores in the conventional t-test tend to be stationary: correlations between alpha for t-test and nonstationarity test were r=-0.63 and r=-0.74 (for areas with alpha < 0.0001 for either t-test or nonstationarity test, which amounts to 23% and 21% of pixels within the brain) for motor and auditory tasks, respectively.

 
 


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