Statistical ratios | Point processes | Statistical randomness | Statistical deviation and dispersion

Index of dispersion

In probability theory and statistics, the index of dispersion, dispersion index, coefficient of dispersion, relative variance, or variance-to-mean ratio (VMR), like the coefficient of variation, is a normalized measure of the dispersion of a probability distribution: it is a measure used to quantify whether a set of observed occurrences are clustered or dispersed compared to a standard statistical model. It is defined as the ratio of the variance to the mean , It is also known as the Fano factor, though this term is sometimes reserved for windowed data (the mean and variance are computed over a subpopulation), where the index of dispersion is used in the special case where the window is infinite. Windowing data is frequently done: the VMR is frequently computed over various intervals in time or small regions in space, which may be called "windows", and the resulting statistic called the Fano factor. It is only defined when the mean is non-zero, and is generally only used for positive statistics, such as count data or time between events, or where the underlying distribution is assumed to be the exponential distribution or Poisson distribution. (Wikipedia).

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Discussing range, variance, and standard deviation as measures of dispersion.

From playlist Medical Statistics

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The dispersion of data by means of the standard deviation.

From playlist Medical Statistics

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Measures of central tendency and measures of dispersion. In this lesson we take a look at means (average), median, mode and standard deviation.

From playlist Learning medical statistics with python and Jupyter notebooks

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From playlist Unit 2: Normal Distributions

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From playlist Learning medical statistics with python and Jupyter notebooks

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How To Calculate The Standard Deviation In Excel

This video tutorial explains how to calculate the standard deviation in excel. It also discusses the concept of standard deviation which is the dispersion or variability of the data around the mean.

From playlist Excel Tutorial

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From playlist Unit 2: Normal Distributions

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From playlist STATISTICS CH 2 GRAPHICAL REPRESENTATION OF DATA

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From playlist Board Brahmastra || CBSE Class 10 Crash Course

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Lec 2 | MIT 2.71 Optics, Spring 2009

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From playlist MIT 2.71 Optics, Spring 2009

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From playlist Lecture 26A. The Refraction of Light: Lenses and Optical Instruments

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From playlist Nature of Light

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From playlist PHYS 201 | Light and Glass

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Index theorems for nodal count and a lateral variation principle - Gregory Berkolaiko

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From playlist Mathematics

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From playlist Conference and School on Nucleation Aggregation and Growth

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From playlist Geometric optics | Physics | Khan Academy

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From playlist STATISTICAL BIOLOGICAL PHYSICS: FROM SINGLE MOLECULE TO CELL (2022)

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Statistics - How to calculate the coefficient of variation

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From playlist Statistics

Related pages

Signal processing | Normalization (statistics) | Cumulant | Mean | Statistics | Statistical dispersion | Exponential distribution | Lexis ratio | Brownian motion | Overdispersion | Fano factor | Count data | Harmonic mean | Poisson distribution | Standardized moment | Variance | Random walk | Probability distribution | Statistical hypothesis testing | Negative binomial distribution | Eccentricity (mathematics) | Geometric distribution | Binomial distribution | Probability theory | Signal-to-noise ratio | Coefficient of variation