In recent years, the number of studies using functional magnetic resonance imaging (fMRI) on human brain activity has increased rapidly, which has become a hot topic in medical and academic fields. The autocorrelation and correlation problems in the time series of human brain activity have also become an important research direction. It is found that there are relative residuals in the time series of human brain activity processed by smoothing splines. To solve this problem, B-spline is used to smooth the curve. By choosing the right knots, a better smoothness method to process the human brain activity data is provided. In addition, the study also found that the time series of human brain activity has correlations. The multiple scans of the same person were analyzed to see if these correlations were consistent. In order to evaluate this point, correlation is used as a response variable Y and person as a factor X to fit a random effect model. By calculating the percentage of variation in Y to determine whether the scans are similar to each other. The results show that the mean-centering time series data with 0th order difference has the most consistent correlation.

Library of Congress Subject Headings

Autocorrelation (Statistics); Spline theory--Data processing; Brain--Imaging--Data processing; Time-series analysis

Publication Date


Document Type


Student Type


Degree Name

Applied Statistics (MS)

Department, Program, or Center

School of Mathematical Sciences (COS)


Peter Bajorski

Advisor/Committee Member

Linlin Chen

Advisor/Committee Member

Minh Pham


RIT – Main Campus

Plan Codes