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variance of sum

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  • Sum of squares — is a concept that permeates much of inferential statistics and descriptive statistics. More properly, it is the sum of the squared deviations . Mathematically, it is an unscaled, or unadjusted measure of dispersion (also called variability). When …   Wikipedia

  • Variance — In probability theory and statistics, the variance of a random variable, probability distribution, or sample is one measure of statistical dispersion, averaging the squared distance of its possible values from the expected value (mean). Whereas… …   Wikipedia

  • Sum of normally distributed random variables — In probability theory, if X and Y are independent random variables that are normally distributed, then X + Y is also normally distributed; i.e. if :X sim N(mu, sigma^2),and :Y sim N( u, au^2),and X and Y are independent, then:Z = X + Y sim N(mu + …   Wikipedia

  • variance — n the mean square of deviations (or errors) of a set of observations; the sum of squared deviations (or errors) of individual observations with respect to their arithmetic mean divided by the number of observations less one (degrees of freedom);… …   Coke&Coal Terminology

  • Sum Of Squares — A statistical technique used in regression analysis. The sum of squares is a mathematical approach to determining the dispersion of data points. In a regression analysis, the goal is to determine how well a data series can be fitted to a function …   Investment dictionary

  • variance — 1. The state of being variable, different, divergent, or deviate; a degree of deviation. 2. A measure of the variation shown by a set of observations, defined as the sum of squares of deviations from the mean, divided by the number of degrees of… …   Medical dictionary

  • Algorithms for calculating variance — play a major role in statistical computing. A key problem in the design of good algorithms for this problem is that formulas for the variance may involve sums of squares, which can lead to numerical instability as well as to arithmetic overflow… …   Wikipedia

  • Analyse de la variance — L analyse de la variance (terme souvent abrégé par le terme anglais ANOVA : ANalysis Of VAriance) est un test statistique permettant de vérifier que plusieurs échantillons sont issus d une même population. Ce test s applique lorsque l on… …   Wikipédia en Français

  • Analyse De La Variance — L analyse de la variance (terme souvent abrégé par le terme anglais ANOVA : ANalysis Of VAriance) est un test statistique permettant de vérifier que plusieurs échantillons sont issus d une même population. Ce test s applique lorsque que l on …   Wikipédia en Français

  • Analysis of variance — In statistics, analysis of variance (ANOVA) is a collection of statistical models, and their associated procedures, in which the observed variance in a particular variable is partitioned into components attributable to different sources of… …   Wikipedia

  • Lack-of-fit sum of squares — In statistics, a sum of squares due to lack of fit, or more tersely a lack of fit sum of squares, is one of the components of a partition of the sum of squares in an analysis of variance, used in the numerator in an F test of the null hypothesis… …   Wikipedia

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