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Variance

In probability theory and statistics, variance is a measure of dispersion, meaning it is a measure of how far a set of numbers are spread out from their average value. It is defined as the expected value of the squared deviation from the mean of a random variable. The standard deviation is the square root of the variance. Technically, it is the second…

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Overview

Definition

Examples

Properties

Propagation

Population variance and sample variance

Tests of equality of variances

Moment of inertia

Semivariance

Etymology

Generalizations

Types of variance

Advanced semantic analysis

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Map overview Semantic statistics

Variance

Nodes152
Edges151
Triples106
Avg. degree1.99
Density0.013158
Components1

How this topic connects Entity context

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Variance

Top relations

related to Tests of equality of variances · 16
Variance → Ansari, Barton, Capon, David, Freund, Klotz, Mood, Non-normality, Several, Siegel, Sukhatme, The F-test, The Mood, The Sukhatme, They, Tukey
related to Population variance and sample variance · 8
Variance → As, Four, However, In, Most, Real-world, The, This
is a · 6
Variance → characteristic of a set of observations, measure of dispersion, population variance 932.743 as the sum of the squared deviations about the mean of this set, real scalar, real scalar.For vector-valued random variablesAs a matrixIf X, U-statistic for the function f
related to Decomposition · 6
Variance → Given, If, That, The, This, Var
related to Semivariance · 6
Variance → Chebyshev's, For, It, Semivariance, Semivariances, The
related to Discrete random variable · 5
Variance → If, That, The, Var, When
related to Etymology · 5
Variance → Mendelian Inheritance, Ronald Fisher, Supposition, The, The Correlation Between Relatives
related to Issues of finiteness · 5
Variance → An, Cauchy, However, If, Pareto
related to Linear combinations · 5
Variance → Bienaymé's, Cov, In, These, Var
related to Moment of inertia · 5
Variance → It, Sigma, Suppose, The, This

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Important terminology

displaystyle var operatorname sample sum left right mean random population sigma distribution variables variable frac observations covariance value deviation mu

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Varianceis ameasure of dispersion0.90text
Varianceis acharacteristic of a set of observations0.90text
Varianceis aU-statistic for the function f0.90text
Varianceis apopulation variance 932.743 as the sum of the squared deviations about the mean of this set0.90text
Varianceis areal scalar.For vector-valued random variablesAs a matrixIf X0.90text
Varianceis areal scalar0.90text
the expected absolute deviationinstance ofAn advantage of variance as a measure of dispersion is that it is more amenable to algebraic manipulation than other measures of dispersion0.80text
the measurements of yesterday's rain throughout the day typically cannot be complete sets of all possible observations that could be madeinstance ofPopulation variance and sample varianceReal-world observations0.80text
Variancemeasured byUnlike0.60section
Variancemeasured byFor0.60section
Variancemeasured byIn0.60section
Variancemeasured byThe0.60section

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