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Related Concept Videos

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Sometimes, a data set can have a recorded numerical observation that greatly  deviates from the rest of the data. Assuming that the data is normally distributed, a statistical method called the Grubbs test can be used to determine whether the observation is truly an outlier.  To perform a two-tailed Grubbs test, first, calculate the absolute difference between the outlier and the mean. Then, calculate the ratio between this difference and the standard deviation of the sample. This...
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An outlier is an observation of data that does not fit the rest of the data. It is sometimes called an extreme value. When you graph an outlier, it will appear not to fit the pattern of the graph. Some outliers are due to mistakes (for example, writing down 50 instead of 500), while others may indicate that something unusual is happening. Outliers are present far from the least squares line in the vertical direction. They have large "errors," where the "error" or residual is the...
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Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
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PCA leverage: outlier detection for high-dimensional functional magnetic resonance imaging data.

Amanda F Mejia1, Mary Beth Nebel2, Ani Eloyan3

  • 1Department of Statistics, Indiana University, Bloomington, IN, USA.

Biostatistics (Oxford, England)
|March 24, 2017
PubMed
Summary

This study introduces new methods, PCA leverage and PCA robust distance, for detecting outliers in high-dimensional functional magnetic resonance imaging (fMRI) data. These techniques improve the accuracy and reliability of fMRI data analysis, particularly for resting-state networks.

Keywords:
High-dimensional statisticsImage analysisLeverageOutlier detectionPrincipal component analysisRobust statisticsfMRI

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Area of Science:

  • Statistics
  • Neuroimaging
  • Data Science

Background:

  • High-dimensional (HD) data analysis is crucial in modern statistics.
  • Functional magnetic resonance imaging (fMRI) generates HD data, requiring robust outlier detection.
  • Automated quality control for fMRI data is increasingly necessary due to growing dataset availability.

Purpose of the Study:

  • To develop and validate novel methods for outlier detection in fMRI data.
  • To address the need for automated quality control in large-scale fMRI datasets.
  • To enhance the reliability of statistical analyses on fMRI data.

Main Methods:

  • Proposed Principal Component Analysis (PCA) leverage to identify outlying time points in fMRI.
  • Introduced PCA robust distance as an alternative, less sensitive outlier measure.
  • Validated methods through simulation studies and a reliability study on resting-state fMRI data.

Main Results:

  • PCA leverage and PCA robust distance accurately identify outlying time points in fMRI.
  • The proposed methods demonstrated high accuracy in simulation studies.
  • Removing outliers improved the reliability of subject-level resting-state network estimation.

Conclusions:

  • PCA leverage and PCA robust distance are effective tools for outlier detection in fMRI data.
  • These methods contribute to improved quality control and data reliability in neuroimaging.
  • The findings support the use of these techniques for analyzing large fMRI datasets, such as those from the Autism Brain Imaging Data Exchange.