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1¡¢These methods with original and vector normalised spectra were used to develop calibration models¡£ 2¡¢The performance of the final PLS model was evaluated in terms of root mean square error of cross validation (RMSECV) for cross validation and root mean square error of prediction (RMSEP) during test validation, and the coefficient of determination (R2). 3¡¢The residual (Res) is the difference between the true and fitted value. Thus the sum of squared errors (SSE) is the quadratic summation of these values ( Eq.1 ). 4¡¢The root mean square error of estimation (RMSEE) is calculated from this sum, with ¡°n¡± being the number of samples and ¡°r¡± the rank ( Eq.2 ). 5¡¢The determination coefficient, R2 ( Eq.3 ) gives the percentage of variance present in the true component values, which is reproduced in the regression. 6¡¢R2 can be negative for low ranks, when the residual are larger than the variance in the true values (yi). In case of cross validation, the RMSECV is calculated using Eq.4 . 7¡¢For the prediction set, the root mean square error of prediction (RMSEP) is calculated as follows ( Eq.5 ) [13]. 8¡¢The absorption peaks of NIR spectra were broad and overlap, making single wavelength calibration impossible due to large hidden information in spectral data. 9¡¢ As a form of principal component analysis (PCA), PLS made use of the information of the NIR spectrum and the established analyte values as sociated with the spectrum. 10¡¢It had no restriction in using the number of wavelengths that could be selected for the calibration to make the model suitable to extract the maximum information from the spectra. 11¡¢The information extracted could be condensed in the latent variables or factors which were used in the calibration and prediction steps [12]. |
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