Title: mean squared error of calibration
Long Title: IUPAC Gold Book - mean squared error of calibration
DOI: 10.1351/goldbook.10151
Status: current

Definition
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. \[E_{\rm{MSEC}} = \frac{\sum\limits_{i\,=\,1}^{i\,=\,N} (\hat c_{i} - c_{i})^2}{N}\]

Note
Mean squared error of calibration is the square of the root mean squared error of calibration.

Related Term
- root mean squared error of calibration: https://goldbook.iupac.org//terms/view/10157

Source
- PAC, 2016, 88, 407. 'Vocabulary of concepts and terms in chemometrics (IUPAC Recommendations 2016)' on page 434 (https://doi.org/10.1515/pac-2015-0605)

Other Outputs
- html: https://goldbook.iupac.org/terms/view/10151/html
- json: https://goldbook.iupac.org/terms/view/10151/json
- xml: https://goldbook.iupac.org/terms/view/10151/xml

Citation: Citation: '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.10151
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Accessed: 2026-04-19T00:31:49+00:00