1H NMR variable selection approaches for classification. A case study: The determination of adulterated foodstuffs

Whenever dealing with large amount of data as is the case of a NMR spectrum, carrying out a variable selection before applying a multivariate technique is necessary. This work applies various variable selection techniques to extract relevant information from 1H NMR spectral data. Three approaches have been chosen, because each is based on very different foundations. The first method, called Xdiff, is based on calculating the normalized differences between the mean spectrum of a class considered to be the reference and the spectra of each sample. The second approach is the interval Partial Least Squares method (iPLS), which investigates the influential zones of the spectra that contains the most discriminating predictors calculating local PLS-DA models on narrow intervals. The last one is Genetic Algorithms (GAs) which finds the optimal variables from a random initial subset of variables by means of an iterative process. The performance of each variable selection strategy is determined by the classification results obtained when multiclass Partial Least Squares-Discriminant Analysis is applied. This study has been applied to NMR spectra of culinary spices that might be adulterated with banned dyes such as Sudan dyes (I–IV). The three techniques give neither the same number nor the same selected variables, but they do select a common zone from the spectra containing the most discriminating variables. All three techniques give satisfactory classification and prediction results, being higher than 95% with iPLS and GA and around 89% with Xdiff, therefore the three variable selection techniques are suitable to be used with NMR data in the determination of food adulteration with Sudan dyes as well as the specific type of adulterant used (I–IV).