10099 IUPAC Gold Book - mean squared error of prediction 10.1351/goldbook.10099 10099 current initialisms: MSEE, MSEP synonym: mean squared error of estimation 1 In multivariate calibration the average of the squared deviation of estimated values from the values of evaluation data. For \(N\) evaluation data where \(c_{i}\) is an observed value and \(\hat c_{i}\) is the predicted value. \[E_{\rm{MSEP}} = \frac{\sum\limits_{i\,=\,1}^{i\,=\,N} (\hat c_{i}\,-\, c_{i})^2}{N}\] Mean squared error of prediction is the square of root mean squared error of prediction. evaluation data https://goldbook.iupac.org//terms/view/10050 multivariate calibration https://goldbook.iupac.org//terms/view/10153 root mean squared error of prediction https://goldbook.iupac.org//terms/view/10110 PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 421 (https://doi.org/10.1515/pac-2015-0605) https://goldbook.iupac.org/terms/view/10099/html https://goldbook.iupac.org/terms/view/10099/json https://goldbook.iupac.org/terms/view/10099/plain Citation: 'mean squared error of prediction' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.10099 The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https://creativecommons.org/licenses/by-sa/4.0/) for individual terms. If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org . The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using. 2026-04-18T22:58:42+00:00