Nance [Byrsonima crassifolia (L.) HBK.] is a tropical fruit cultivated along the coastal areas of Mexico. Nance consumption has increased due to its versatility, as it can be used as fresh fruit, refreshments, and alcoholic beverages and also for preparing fruit rolls, bottled drinks, jellies, syrup, ice cream, and cakes. However, the broad variation in fruit quality parameters, like juice acidity, total soluble solids, skin color, and size, seems to limit its use. Since fruit quality can be influenced by the parameter used, multivariate canonical discriminant analysis (CDA) was used to discriminate among nance selections. The objective of this study was to find the best quality indices using physical and chemical fruit characteristics from eight nance selections cultivated in the state of Nayarit, Mexico. Six physical and five chemical variables of fruit quality were studied to determine the relative contribution of each variable to the discrimination between nance selections. Two canonical discriminant functions (CDF1 and CDF2) explained >80% of the accumulated variation among nance selections. The total soluble solids (TSS) to titratable acidity (TA) ratio was dominant on the CDF1 (standardized canonical coefficient = 2.46), therefore, this ratio could be used as the best quality index to select nance fruit. The following TSS to TA values are proposed to classify the nance selections studied: a) 5.1 to 8 as sour fruit (Sour-small and Purple selections), b) 8.1 to 10 as sweet-sour fruit (Conical, Improved, Sweet-sour-1, Sweet-sour-2, and Sweet-sour-3 selections), and c) >10 as sweet fruit (Sangunga selection).
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