• In statistics the mean squared prediction error (MSPE), also known as mean squared error of the predictions, of a smoothing, curve fitting, or regression...
    6 KB (1,025 words) - 20:21, 17 March 2023
  • In statistics, the mean squared error (MSE) or mean squared deviation (MSD) of an estimator (of a procedure for estimating an unobserved quantity) measures...
    24 KB (3,827 words) - 09:26, 11 June 2024
  • processes. Root mean square Mean absolute error Average absolute deviation Mean signed deviation Mean squared deviation Squared deviations Errors and residuals...
    11 KB (1,585 words) - 18:48, 3 May 2024
  • in the sense that the least squares approach is related to the mean squared error, the equivalent for mean absolute error is least absolute deviations...
    8 KB (1,074 words) - 22:32, 2 April 2024
  • equalizer "Mean Squared Error (MSE)". www.probabilitycourse.com. Retrieved 9 May 2017. Moon and Stirling. Johnson, D. "Minimum Mean Squared Error Estimators"...
    41 KB (9,310 words) - 02:22, 10 March 2024
  • zero. Percentage error Mean absolute percentage error Mean squared error Mean squared prediction error Minimum mean-square error Squared deviations Peak...
    2 KB (241 words) - 16:13, 30 October 2023
  • The mean absolute percentage error (MAPE), also known as mean absolute percentage deviation (MAPD), is a measure of prediction accuracy of a forecasting...
    9 KB (1,481 words) - 12:27, 17 July 2024
  • 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...
    18 KB (2,650 words) - 05:30, 15 August 2024
  • arises in the expression mean squared error (MSE). The mean squared error of a regression is a number computed from the sum of squares of the computed residuals...
    16 KB (2,168 words) - 18:00, 25 November 2023
  • Mean absolute error Mean absolute percentage error Mean squared error Root mean squared error Armstrong, J. S. (1985) Long-range Forecasting: From Crystal...
    5 KB (772 words) - 07:57, 23 June 2023
  • a_{0}=-1} . On the other hand, if the mean square prediction error is constrained to be unity and the prediction error equation is included on top of the...
    8 KB (1,298 words) - 14:19, 6 August 2023
  • Thumbnail for Standard error
    mean. In regression analysis, the term "standard error" refers either to the square root of the reduced chi-squared statistic or the standard error for...
    20 KB (2,691 words) - 17:40, 10 June 2024
  • Thumbnail for Least squares
    true error variance σ2 is replaced by an estimate, the reduced chi-squared statistic, based on the minimized value of the residual sum of squares (objective...
    39 KB (5,553 words) - 11:55, 2 September 2024
  • Thumbnail for Ordinary least squares
    has a smaller mean squared error. In practice s2 is used more often, since it is more convenient for the hypothesis testing. The square root of s2 is...
    64 KB (8,935 words) - 02:22, 18 May 2024
  • Forecasting (category CS1 errors: periodical ignored)
    MAE=MAD={\frac {\sum _{t=1}^{N}|E_{t}|}{N}}} Mean squared error (MSE) or mean squared prediction error (MSPE):   M S E = M S P E = ∑ t = 1 N E t 2 N...
    40 KB (5,241 words) - 16:08, 20 August 2024
  • sum of squares (RSS), also known as the sum of squared residuals (SSR) or the sum of squared estimate of errors (SSE), is the sum of the squares of residuals...
    6 KB (1,055 words) - 08:31, 1 March 2023
  • Thumbnail for Cross-validation (statistics)
    continuously distributed, the mean squared error, root mean squared error or median absolute deviation could be used to summarize the errors. When users apply cross-validation...
    42 KB (5,623 words) - 18:40, 25 June 2024
  • terms of metrics such as correlation, root mean squared error, mean absolute error, relative mean absolute error, bias, and the Brier score, among others...
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  • Thumbnail for Bias–variance tradeoff
    y_{n})\}} . We make "as well as possible" precise by measuring the mean squared error between y {\displaystyle y} and f ^ ( x ; D ) {\displaystyle {\hat...
    28 KB (3,896 words) - 01:52, 16 September 2024
  • used to estimate the population mean μ and population standard deviation σ of the underlying population, while prediction intervals may be used to estimate...
    20 KB (2,851 words) - 06:11, 27 May 2024
  • Forecast errors can be evaluated using a variety of methods namely mean percentage error, root mean squared error, mean absolute percentage error, mean squared...
    13 KB (1,678 words) - 17:39, 22 June 2024
  • out-of-sample mean squared error, also known as the mean squared prediction error, is substantially higher than the in-sample mean square error, this is a...
    9 KB (1,117 words) - 22:30, 3 May 2024
  • Thumbnail for Standard deviation
    data Reduced chi-squared statistic Robust standard deviation Root mean square Sample size Samuelson's inequality Six Sigma Standard error Standard score...
    55 KB (7,609 words) - 13:58, 17 September 2024
  • Thumbnail for Coefficient of determination
    the coefficient of determination, denoted R2 or r2 and pronounced "R squared", is the proportion of the variation in the dependent variable that is...
    45 KB (6,193 words) - 13:21, 19 August 2024
  • accuracy is very closely related to the mean squared error (MSE) method which is just the average squared error of the forecasts. Although these methods...
    13 KB (1,663 words) - 17:00, 9 June 2024
  • Thumbnail for Chi-squared test
    statistic is chi-squared distributed under the null hypothesis, specifically Pearson's chi-squared test and variants thereof. Pearson's chi-squared test is used...
    22 KB (2,399 words) - 13:31, 7 August 2024
  • of the least squares cost function as in ridge regression (L2-norm penalty) and lasso (L1-norm penalty). Use of the Mean Squared Error (MSE) as the cost...
    73 KB (10,270 words) - 21:14, 17 September 2024
  • Thumbnail for Regression analysis
    example, the method of ordinary least squares computes the unique line (or hyperplane) that minimizes the sum of squared differences between the true data...
    36 KB (5,107 words) - 07:52, 3 September 2024
  • Thumbnail for Loss function
    }})^{2}.} An Estimator found by minimizing the Mean squared error estimates the Posterior distribution's mean. In density estimation, the unknown parameter...
    21 KB (2,796 words) - 05:57, 15 September 2024
  • regularization Matthews correlation coefficient Mean shift Mean squared error Mean squared prediction error Measurement invariance Medoid MeeMix Melomics...
    41 KB (3,580 words) - 16:15, 14 June 2024