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...

defined in terms of an integral of the square of the function. In estimation theory, the root-mean-square deviation of an estimator measures how far the...

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

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

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

variation (CV), also known as normalized root-mean-square deviation (NRMSD), percent RMS, and relative standard deviation (RSD), is a standardized measure of...

the Mean absolute error divided by the Mean Absolute Deviation. Mean squared error Mean absolute error Mean absolute percentage error Root-mean-square deviation...

calculating the optimal rotation matrix that minimizes the RMSD (root mean squared deviation) between two paired sets of points. It is useful for point-set...

distribution is the square root of its variance. (For a finite population, variance is the average of the squared deviations from the mean.) A useful property...

variation of the square root of MSD versus downwind distance are commonly used in studying the dispersion phenomenon. Root-mean-square deviation of atomic positions:...

mean-square error Squared deviations Peak signal-to-noise ratio Root mean square deviation Errors and residuals in statistics Khan, Aman U.; Hildreth, W...

_{n=0}^{N-1}\left|x[m,n]\right|^{2}}}} Root-mean-square deviation is derived from MSE by taking the square root of the MSE. It downscale the MSE, providing...

the reduced chi-square statistic is used extensively in goodness of fit testing. It is also known as mean squared weighted deviation (MSWD) in isotopic...

need for squaring) and easier to understand. For the normal distribution, the ratio of mean absolute deviation from the mean to standard deviation is 2 /...

coefficient Proportional reduction in loss Regression model validation Root mean square deviation Stepwise regression Steel, R. G. D.; Torrie, J. H. (1960). Principles...

related to the mean squared error, the equivalent for mean absolute error is least absolute deviations. MAE is not identical to root-mean square error (RMSE)...

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. Variance...

mean square. The square root of a mean square is known as the root mean square (RMS or rms), and can be used as an estimate of the standard deviation...

It is intended as a more accurate measurement than the common root-mean-square deviation (RMSD) metric - which is sensitive to outlier regions created...

positive values then the estimate of the variance (and its square root, the standard deviation) will be biased low. That is, the actual variability of the...

mathematics, a square root of a number x is a number y such that y 2 = x {\displaystyle y^{2}=x} ; in other words, a number y whose square (the result of...

standard deviations of the mean, and the root mean square deviation about the mode is between the standard deviation and twice the standard deviation. An example...

regression Robust statistics Root mean square Root-mean-square deviation Root mean square deviation (bioinformatics) Root mean square fluctuation Ross's conjecture...

theory, the root-mean-square deviation of an estimator is a measure of the imperfection of the fit of the estimator to the data. Root-mean-square speed In...

Another method of specifying spectral width is a special case of root-mean-square deviation where the independent variable is wavelength, λ, and f (λ) is...

{\displaystyle S\approx {e^{-\sigma ^{2}}}} where sigma (σ) is the root mean square deviation over the aperture of the wavefront phase: σ 2 = ⟨ ( ϕ − ϕ ¯ )...

The mean square speed ⟨ v 2 ⟩ {\displaystyle \langle v^{2}\rangle } is the second-order raw moment of the speed distribution. The "root mean square speed"...

observation is the deviation of the observed value from the true value of a quantity of interest (for example, a population mean). The residual is the...

These deviations are squared, then a mean is taken of the new set of numbers (each of which is positive). This mean is the variance, and its square root is...

are a superposition of the atomic coordinate sets and a minimal root mean square deviation (RMSD) between the structures. The RMSD of two aligned structures...