31. Compared with published values, this calculation has a root mean square error of only 3.7 s. 32. Well-established alternatives are the mean absolute scaled error ( MASE ) and the mean squared error. 33. These values typically include averages, maxima and minima, root mean square ( RMS ) and frequencies. 34. This estimator also has a uniformly smaller mean squared error than the corrected sample standard deviation. 35. This information is the Root Mean Square radius of the molecule ( RMS or Rg ). 36. Using the standard mean squared value decomposition 37. When we use the mean squared error as distortion measure, we have ( for amplitude-continuous signals ): 38. Where, MSE denotes the mean squared error. 39. Until 9 / 11, it had also been used carelessly to mean square 1, a starting place. 40. Secondly, the sample variance does not generally minimize mean squared error between sample variance and population variance.