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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Average absolute deviation Mean signed deviation Mean squared error Squared deviations from the mean Errors and residuals Coefficient of variation Hyndman...
11 KB (1,620 words) - 18:39, 16 February 2025
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...
13 KB (1,674 words) - 06:34, 30 May 2025
population, variance is the average of the squared deviations from the mean.) A useful property of the standard deviation is that, unlike the variance, it is...
59 KB (8,233 words) - 19:16, 23 April 2025
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...
24 KB (3,861 words) - 12:45, 11 May 2025
of the square of the function. In estimation theory, the root-mean-square deviation of an estimator measures how far the estimator strays from the data...
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vary from the average. Positive deviations indicate values above the mean, while negative deviations indicate values below the mean. The sum of squared deviations...
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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...
10 KB (1,268 words) - 18:55, 14 October 2024
statistical mechanics, the mean squared displacement (MSD), also called mean square displacement, average squared displacement, or mean square fluctuation, is...
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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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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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_{\nu }^{2}={\frac {\chi ^{2}}{\nu }},} where the chi-squared is a weighted sum of squared deviations: χ 2 = ∑ i ( O i − C i ) 2 σ i 2 {\displaystyle...
12 KB (1,867 words) - 19:00, 25 November 2024
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...
39 KB (5,601 words) - 14:31, 24 April 2025
Statistical fluctuations (category Articles needing additional references from February 2011)
It's defined as the average of the squared deviations from the mean. The Root Mean Square (RMS) fluctuation: This is the square root of the variance and...
3 KB (342 words) - 05:31, 9 November 2024
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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Algorithms for calculating variance (redirect from Stablized mean)
{C_{N}}{\sum _{i=1}^{N}w_{i}}}} Kahan summation algorithm Squared deviations from the mean Yamartino method Einarsson, Bo (2005). Accuracy and Reliability...
31 KB (5,772 words) - 14:32, 29 April 2025
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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Variance (redirect from Scaled chi-squared distribution)
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...
61 KB (10,215 words) - 16:29, 24 May 2025
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...
8 KB (899 words) - 01:40, 2 August 2024
In statistics the mean squared prediction error (MSPE), also known as mean squared error of the predictions, of a smoothing, curve fitting, or regression...
6 KB (1,025 words) - 14:41, 15 November 2024
Errors and residuals (redirect from Residual mean square)
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...
16 KB (2,164 words) - 16:12, 23 May 2025
Chebyshev's inequality (redirect from Median-mean inequality)
two standard deviations of the mean and 88.88% within three standard deviations for a broad range of different probability distributions. The term Chebyshev's...
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SDM (category Short description is different from Wikidata)
Distribution Models, in ecology Squad designated marksman Squared deviations from the mean, in mathematics Standard days method, a calendar-based method...
1 KB (173 words) - 01:57, 7 April 2025
the sense that the least squares approach is related to the mean squared error, the equivalent for mean absolute error is least absolute deviations....
8 KB (1,074 words) - 18:40, 16 February 2025
Bessel's correction (category Statistical deviation and dispersion)
from a sample when the population mean is unknown, the uncorrected sample variance is the mean of the squares of deviations of sample values from the...
18 KB (3,236 words) - 18:14, 15 April 2025
signal processing, a minimum mean square error (MMSE) estimator is an estimation method which minimizes the mean square error (MSE), which is a common...
41 KB (9,310 words) - 08:40, 13 May 2025
Beta distribution (category Articles with unsourced statements from February 2013)
of the mode, Beta(α, β) distributions with α,β > 2, as it depends on the linear (absolute) deviations rather than the square deviations from the mean. Therefore...
245 KB (40,562 words) - 12:56, 14 May 2025
Standard error (redirect from Standard error of the mean)
population mean. In regression analysis, the term "standard error" refers either to the square root of the reduced chi-squared statistic or the standard...
20 KB (2,781 words) - 03:46, 4 May 2025
Percentage error Mean absolute percentage error Mean squared error Mean squared prediction error Minimum mean-square error Squared deviations Peak signal-to-noise...
2 KB (241 words) - 16:13, 30 October 2023
BIRCH (category Short description is different from Wikidata)
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...
13 KB (2,275 words) - 14:43, 28 April 2025