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sum of squared deviations

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  • Squared deviations — In probability theory and statistics, the definition of variance is either the expected value (when considering a theoretical distribution), or average (for actual experimental data) of squared deviations from the mean. Computations for analysis… …   Wikipedia

  • 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

  • Mean squared prediction error — In statistics the mean squared prediction error of a smoothing procedure is the expected sum of squared deviations of the fitted values from the (unobservable) function g. If the smoothing procedure has operator matrix L, then The MSPE can be… …   Wikipedia

  • Mean squared error — In statistics, the mean squared error (MSE) of an estimator is one of many ways to quantify the difference between values implied by a kernel density estimator and the true values of the quantity being estimated. MSE is a risk function,… …   Wikipedia

  • Pearson's chi-squared test — (χ2) is the best known of several chi squared tests – statistical procedures whose results are evaluated by reference to the chi squared distribution. Its properties were first investigated by Karl Pearson in 1900.[1] In contexts where it is… …   Wikipedia

  • Standard deviation — In probability and statistics, the standard deviation is a measure of the dispersion of a collection of values. It can apply to a probability distribution, a random variable, a population or a data set. The standard deviation is usually denoted… …   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

  • Trend estimation — is a statistical technique to aid interpretation of data. When a series of measurements of a process are treated as a time series, trend estimation can be used to make and justify statements about tendencies in the data. By using trend estimation …   Wikipedia

  • Kendall's W — (also known as Kendall s coefficient of concordance) is a non parametric statistic. It is a normalization of the statistic of the Friedman test, and can be used for assessing agreement among raters. Kendall s W ranges from 0 (no agreement) to 1… …   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

  • Aromatic ring current — This article is about aromatic chemistry. For the meteorological effect, see Ring current. A diagram of an aromatic ring current. B0 is the applied magnetic field, the red arrow indicating its direction. The orange ring shows the direction of the …   Wikipedia

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