Comparison of Canonical Variate Analysis and Principal Component Analysis on 422 descriptive sensory studies

Abstract

Although Principal Component Analysis (PCA) of product mean scores is most often used to generate a product map from sensory profiling data, it does not take into account variance of product mean scores due to individual variability. Canonical Variate Analysis (CVA) of the product effect in the two-way (product and subject) multivariate ANOVA model is the natural extension of the classical univariate approach consisting of ANOVAs of every attribute. CVA generates successive components maximizing the ANOVA F-criterion. Thus, CVA is theoretically more adapted than PCA to represent sensory data. However, CVA requires a matrix inversion which can result in computing instability when the sensory attributes are highly correlated.Based on the analysis of 422 descriptive sensory studies gathered in SensoBase (www.sensobase.fr), this paper compares the maps obtained by covariance PCA and CVA, both performed on significant (p=0.1) attributes for the product effect. Results suggest that 9 times out of 10, PCA and CVA maps are very similar. However, differences between these maps increase with product space complexity. It is thus recommended to analyze and map each sensory modality (texture, aroma…) separately.