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Related Concept Videos

Variability: Analysis01:11

Variability: Analysis

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Measures of variability are statistical metrics that reveal the dispersion pattern within a dataset. They are pivotal in biostatistics, providing insights into the heterogeneity within health and biological data. Variability signifies the degree to which data points diverge from one another, helping researchers understand the potential range of values and associated uncertainty within the data.
The range is a simple measure of variability, indicating the difference between the highest and...
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Variance01:15

Variance

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The deviations show how spread out the data are about the mean. A positive deviation occurs when the data value exceeds the mean, whereas a negative deviation occurs when the data value is less than the mean. If the deviations are added, the sum is always zero. So one cannot simply add the deviations to get the data spread. By squaring the deviations, the numbers are made positive; thus, their sum will also be positive.
The standard deviation measures the spread in the same units as the data....
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Vector Algebra: Method of Components01:08

Vector Algebra: Method of Components

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It is cumbersome to find the magnitudes of vectors using the parallelogram rule or using the graphical method to perform mathematical operations like addition, subtraction, and multiplication. There are two ways to circumvent this algebraic complexity. One way is to draw the vectors to scale, as in navigation, and read approximate vector lengths and angles (directions) from the graphs. The other way is to use the method of components.
In many applications, the magnitudes and directions of...
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Variation01:19

Variation

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An important characteristic of any set of data is the variation in the data. In some data sets, the data values are concentrated closely near the mean; in other data sets, the data values are more widely spread out from the mean. The most common measure of variation, or spread, is the standard deviation, which is the square root of variance.
When independent and dependent variables are plotted on a scatter plot, the slope of a line is a value that describes the rate of change between the two...
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What is Variation?01:14

What is Variation?

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Apart from the measures of central tendency, distribution, outliers, and the changing characteristics of data with time, an important characteristic of any data set is its variation or spread. In some data sets, the data values are concentrated closely near the mean; in others, the data values are more widely spread out from the mean.
The range, standard deviation, standard error, and variance are the different measures of variation.
Range: The range is the difference between its maximum and...
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Expected Frequencies in Goodness-of-Fit Tests01:19

Expected Frequencies in Goodness-of-Fit Tests

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A goodness-of-fit test is conducted to determine whether the observed frequency values are statistically similar to the frequencies expected for the dataset. Suppose the expected frequencies for a dataset are equal such as when predicting the frequency of any number appearing when casting a die. In that case, the expected frequency is the ratio of the total number of observations (n)  to the number of categories (k).
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Statistical Modelling of Cortical Connectivity Using Non-invasive Electroencephalograms
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A variance components model for statistical inference on functional connectivity networks.

Mark Fiecas1, Ivor Cribben2, Reyhaneh Bahktiari3

  • 1Division of Biostatistics, University of Minnesota, Minneapolis, MN 55455, USA.

Neuroimage
|January 29, 2017
PubMed
Summary
This summary is machine-generated.

We developed a new statistical model for functional connectivity networks that accounts for temporal autocorrelation in fMRI data and subject differences. This method improves statistical power for identifying brain networks related to reading processes.

Keywords:
DyslexiaFunctional connectivity networksResting-state fMRISubject heterogeneityTemporal autocorrelation

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Area of Science:

  • Neuroimaging
  • Statistical modeling
  • Brain connectivity

Background:

  • Functional magnetic resonance imaging (fMRI) data exhibits temporal autocorrelation and subject heterogeneity.
  • Existing statistical methods for functional connectivity networks often ignore these factors, potentially reducing statistical power.

Purpose of the Study:

  • To propose a novel variance components linear modeling framework for statistical inference on functional connectivity networks.
  • To account for temporal autocorrelation and subject heterogeneity in fMRI data.
  • To characterize resting-state networks related to reading processes by comparing typical and reading-impaired adults.

Main Methods:

  • Developed a nonparametric, subject-specific estimation of autocorrelation structure.
  • Employed iterative least squares to estimate variance due to subject heterogeneity.
  • Applied the model to resting-state fMRI data from typical and reading-impaired young adults.
  • Compared the proposed model against methods that do not account for autocorrelation or heterogeneity using simulated data.

Main Results:

  • The proposed model provides more powerful statistical inference for functional connectivity networks.
  • Accounting for temporal autocorrelation and subject heterogeneity enhances the detection of significant connections.
  • The study identified specific resting-state networks associated with reading processes.

Conclusions:

  • The novel variance components linear modeling framework effectively addresses temporal autocorrelation and subject heterogeneity in fMRI.
  • This approach leads to more accurate and powerful statistical inference in functional connectivity analysis.
  • The findings offer insights into the neural basis of reading by characterizing relevant resting-state brain networks.