Definition of Error of the mean square. Meaning of Error of the mean square. Synonyms of Error of the mean square

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Definition of Error of the mean square

Error of the mean square
Mean Mean, a. [OE. mene, OF. meiien, F. moyen, fr. L. medianus that is in the middle, fr. medius; akin to E. mid. See Mid.] 1. Occupying a middle position; middle; being about midway between extremes. Being of middle age and a mean stature. --Sir. P. Sidney. 2. Intermediate in excellence of any kind. According to the fittest style of lofty, mean, or lowly. --Milton. 3. (Math.) Average; having an intermediate value between two extremes, or between the several successive values of a variable quantity during one cycle of variation; as, mean distance; mean motion; mean solar day. Mean distance (of a planet from the sun) (Astron.), the average of the distances throughout one revolution of the planet, equivalent to the semi-major axis of the orbit. Mean error (Math. Phys.), the average error of a number of observations found by taking the mean value of the positive and negative errors without regard to sign. Mean-square error, or Error of the mean square (Math. Phys.), the error the square of which is the mean of the squares of all the errors; -- called also, especially by European writers, mean error. Mean line. (Crystallog.) Same as Bisectrix. Mean noon, noon as determined by mean time. Mean proportional (between two numbers) (Math.), the square root of their product. Mean sun, a fictitious sun supposed to move uniformly in the equator so as to be on the meridian each day at mean noon. Mean time, time as measured by an equable motion, as of a perfect clock, or as reckoned on the supposition that all the days of the year are of a mean or uniform length, in contradistinction from apparent time, or that actually indicated by the sun, and from sidereal time, or that measured by the stars.

Meaning of Error of the mean square from wikipedia

- 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...
- minimum mean square error (MMSE) estimator is an estimation method which minimizes the mean square error (MSE), which is a common measure of estimator...
- 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...
- observable). The error of an observation is the deviation of the observed value from the true value of a quantity of interest (for example, a po****tion mean). The...
- In statistics, mean absolute error (MAE) is a measure of errors between paired observations expressing the same phenomenon. Examples of Y versus X include...
- In statistics the mean squared prediction error (MSPE), also known as mean squared error of the predictions, of a smoothing, curve ****ing, or regression...
- standard error of the mean equals the standard deviation divided by the square root of the sample size. In other words, the standard error of the mean is a...
- the mean square is normally defined as the arithmetic mean of the squares of a set of numbers or of a random variable. It may also be defined as the arithmetic...
- variance of unit weight in the context of weighted least squares. Its square root is called regression standard error, standard error of the regression...
- In mathematics, the root mean square (abbrev. RMS, RMS or rms) of a set of numbers is the square root of the set's mean square. Given a set x i {\displaystyle...