10157 IUPAC Gold Book - root mean squared error of calibration 10.1351/goldbook.10157 10157 current initialism: RMSEC synonym: standard error of calibration (SEC) 1 In calibration for \(N\) calibration data where \(c_{i}\) is an observed value and \(\hat c_{i}\) is the value predicted by the calibration function. \[E_{\rm{RMSEC}} = \sqrt \frac{\sum\limits_{i\,=\,1}^{i,=\,N} (\hat c_{i} - c_{i})^2}{N}\] Overfitting results in a small RMSEC, but poor predictive ability. PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 436 (https://doi.org/10.1515/pac-2015-0605) https://goldbook.iupac.org/terms/view/10157/html https://goldbook.iupac.org/terms/view/10157/json https://goldbook.iupac.org/terms/view/10157/plain Citation: 'root mean squared error of calibration' 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.10157 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. 2026-04-19T02:13:45+00:00