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Related Concept Videos

Outliers and Influential Points01:08

Outliers and Influential Points

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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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Modified Boxplots00:57

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A standard box and whisker plot informs us about the spread of the data in a given sample. One can identify the minimum value, maximum value, first quartile value, second quartile or median value, and third quartile.
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What Are Outliers?01:12

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Outliers are observed data points that are far from the least squares line. They have unusual values and need to be examined carefully. Though an outlier may result from erroneous data, at other times, it may hold valuable information about the population under study and should be included in the data. Hence, it is crucial to examine what causes a data point to be an outlier.
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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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Identification of Disease-related Spatial Covariance Patterns using Neuroimaging Data
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Depthgram: Visualizing outliers in high-dimensional functional data with application to fMRI data exploration.

Yasser Alemán-Gómez1,2,3, Ana Arribas-Gil4, Manuel Desco5,6,7,8

  • 1Department of Radiology, Centre Hospitalier Universitaire Vaudois (CHUV) and University of Lausanne (UNIL), Lausanne, Switzerland.

Statistics in Medicine
|February 4, 2022
PubMed
Summary
This summary is machine-generated.

This study introduces novel visualization methods for functional magnetic resonance imaging (fMRI) data. These techniques efficiently represent complex brain activity, aiding in the discovery of neuroscientific patterns.

Keywords:
FMRIdata visualizationdimensionality reductionfunctional depthmultidimensional outliers

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Area of Science:

  • Neuroscience
  • Medical Imaging
  • Data Visualization

Background:

  • Functional magnetic resonance imaging (fMRI) measures brain activity via blood flow changes.
  • Task fMRI (tfMRI) and resting-state fMRI (rsfMRI) provide insights into brain organization and baseline activity.
  • High-resolution fMRI generates vast amounts of longitudinal data for each individual.

Purpose of the Study:

  • To develop novel visualization techniques for high-dimensional fMRI data.
  • To create computationally efficient 2-dimensional representations of fMRI data.
  • To elucidate sample composition, outlier presence, and individual variability in fMRI datasets.

Main Methods:

  • Utilized depth-based notions for data representation.
  • Developed computationally efficient methods for dimensionality reduction.
  • Applied techniques to motor and language tfMRI experiments.

Main Results:

  • Demonstrated the ability of visualization techniques to represent complex fMRI data.
  • Showcased the elucidation of sample composition and outlier detection.
  • Provided efficient 2-dim representations of high-dimensional functional brain data.

Conclusions:

  • The proposed visualization techniques are crucial for inferential approaches in neuroscience.
  • These methods facilitate the identification of neuroscientific patterns across individuals, tasks, and brain regions.
  • Effective visualization is key to understanding complex fMRI data and brain function.