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Squared deviations from the mean information


Squared deviations from the mean (SDM) result from squaring deviations. In probability theory and statistics, the definition of variance is either the expected value of the SDM (when considering a theoretical distribution) or its average value (for actual experimental data). Computations for analysis of variance involve the partitioning of a sum of SDM.

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Squared deviations from the mean

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Squared deviations from the mean (SDM) result from squaring deviations. In probability theory and statistics, the definition of variance is either the...

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Root mean square deviation

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The root mean square deviation (RMSD) or root mean square error (RMSE) is either one of two closely related and frequently used measures of the differences...

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Mean squared error

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statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures the average...

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Mean deviation

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measure of statistical dispersion Mean squared deviation, another measure of statistical dispersion Mean Deviation (book), a 2010 non-fiction book by former...

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Root mean square deviation of atomic positions

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the root mean square deviation of atomic positions, or simply root mean square deviation (RMSD), is the measure of the average distance between the atoms...

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Average absolute deviation

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The average absolute deviation (AAD) of a data set is the average of the absolute deviations from a central point. It is a summary statistic of statistical...

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Total sum of squares

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to as the within-groups and between-groups SSP matrices. Squared deviations from the mean Sum of squares (statistics) Lack-of-fit sum of squares Expected...

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Sum of squares

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For sums of squares relating to observations, see Total sum of squares For sums of squared deviations, see Squared deviations from the mean For modelling...

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Root mean square

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In estimation theory, the root-mean-square deviation of an estimator measures how far the estimator strays from the data. The RMS value of a set of values...

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Mean square

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as mean square deviation. When the reference value is the assumed true value, the result is known as mean squared error. A typical estimate for the sample...

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Standard deviation

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numbers, the population standard deviation is found by taking the square root of the average of the squared deviations of the values subtracted from their...

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Mean absolute error

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the sense that the least squares approach is related to the mean squared error, the equivalent for mean absolute error is least absolute deviations....

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SDM

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(Slovene: Slovenska demokratska mladina) Squad designated marksman Squared deviations from the mean, in mathematics Standard days method, a calendar-based method...

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Mean squared displacement

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mechanics, the mean squared displacement (MSD, also mean square displacement, average squared displacement, or mean square fluctuation) is a measure of the deviation...

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Standard error

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population mean. In regression analysis, the term "standard error" refers either to the square root of the reduced chi-squared statistic or the standard...

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Mean squared prediction error

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In statistics the mean squared prediction error (MSPE), also known as mean squared error of the predictions, of a smoothing, curve fitting, or regression...

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Variance

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is the expected value of the squared deviation from the mean of a random variable. The standard deviation (SD) is obtained as the square root of the variance...

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Least squares

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function Root mean square Squared deviations from the mean Charnes, A.; Frome, E. L.; Yu, P. L. (1976). "The Equivalence of Generalized Least Squares and Maximum...

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Errors and residuals

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are the deviations of the observations from the population mean, while the residuals are the deviations of the observations from the sample mean. A statistical...

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Coefficient of variation

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statistics, the coefficient of variation (CV), also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD)...

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Jenks natural breaks optimization

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the lowest SDCM is found. Finally the sum of squared deviations from the mean of the complete data set(SDAM), and the goodness of variance fit (GVF) may...

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Minimum mean square error

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signal processing, a minimum mean square error (MMSE) estimator is an estimation method which minimizes the mean square error (MSE), which is a common...

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Mean percentage error

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Percentage error Mean absolute percentage error Mean squared error Mean squared prediction error Minimum mean-square error Squared deviations Peak signal-to-noise...

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BIRCH

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S} is the sum of squared deviations from the mean (either a vector, or a sum to conserve memory, depending on the application) The main difference here...

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Algorithms for calculating variance

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{C_{N}}{\sum _{i=1}^{N}w_{i}}}} Kahan summation algorithm Squared deviations from the mean Yamartino method Einarsson, Bo (2005). Accuracy and Reliability...

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Median absolute deviation

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in a data set than the standard deviation. In the standard deviation, the distances from the mean are squared, so large deviations are weighted more heavily...

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