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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Root-mean-square deviation ： ウィキペディア英語版 Root-mean-square deviation The root-mean-square deviation (RMSD) or root-mean-square error (RMSE) is a frequently used measure of the differences between values (sample and population values) predicted by a model or an estimator and the values actually observed. The RMSD represents the sample standard deviation of the differences between predicted values and observed values. These individual differences are called residuals when the calculations are performed over the data sample that was used for estimation, and are called ''prediction errors'' when computed out-of-sample. The RMSD serves to aggregate the magnitudes of the errors in predictions for various times into a single measure of predictive power. RMSD is a good measure of accuracy, but only to compare forecasting errors of different models for a particular variable and not between variables, as it is scale-dependent. == Formula == The RMSD of an estimator $\backslash hat$ with respect to an estimated parameter $\backslash theta$ is defined as the square root of the mean square error: :$\backslash operatorname(\backslash hat)\; =\; \backslash sqrt)\}\; =\; \backslash sqrt-\backslash theta)^2)\}.$ For an unbiased estimator, the RMSD is the square root of the variance, known as the standard error. The RMSD of predicted values $\backslash hat\; y\_t$ for times ''t'' of a regression's dependent variable $y$ is computed for ''n'' different predictions as the square root of the mean of the squares of the deviations: :$\backslash operatorname=\backslash sqrt\}.$ In some disciplines, the RMSD is used to compare differences between two things that may vary, neither of which is accepted as the "standard". For example, when measuring the average difference between two time series $x\_$ and $x\_$, the formula becomes :$\backslash operatorname=\; \backslash sqrt\; -\; x\_)^2\}\}.$ 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Root-mean-square deviation」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.