mean square


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mean square

n.
The average of the squares of a set of numbers.

mean′ square′


n.
the mean of the squares of a set of numbers.
References in periodicals archive ?
The air turbulence intensity changes between 17 and 31%, while the air velocity root mean square changes between 0.033 m/s (0.11 ft/s) and 0.1 m/s (0.33 ft/s).
Least Mean Square (LMS) And Normalized (LMS) Algorithm.
The result of Higham, Mao and Stuart [6] additionally proves strong mean square convergence rate 0.5 of the split step Euler Backward method on a given finite interval [0,T].
(c.) The root mean square error is computed by taking the difference between an actual value and its forecasted value at any point in time, squaring this difference, averaging the set of these differences at all points in time, and then taking the square root of this average.
To attempt this, she evaluated 20 interest rate, money, foreign exchange, unemployment and output measures using the root mean square errors (RMSE) of their inflation forecasts as a criterion and the naive forecast of unchanged inflation as a benchmark.
The naive forecasting model, which uses period one betas as forecasts of their corresponding period two counterparts, produces forecasts with mean square error of .07 and mean absolute error of .202.
Advantages of the mean absolute error (MAE) over the root mean square error (RMSE) in assessing average model performance.
In this study, the mean square error (MSE), root mean square error (RMSE), normalized root mean square error (NRMSE), mean absolute error (MAE), and mean absolute percentage error (MAPE) were calculated using the following equations, which are the indexes of forecasting accuracy:
The expectations of the mean squares were used to verify the mean square of the appropriate residue for the analysis of each factor and the respective approximate F test.