Extended Data Fig. 3: Loadings of 16 global dimensions of context–expression associations revealed CCA. | Nature

Extended Data Fig. 3: Loadings of 16 global dimensions of context–expression associations revealed CCA.

From: Sixteen facial expressions occur in similar contexts worldwide

Extended Data Fig. 3

Given that all 16 possible canonical correlations were discovered to be preserved across regions (using cross-validation; Fig. 3c), we sought to interpret the 16 underlying canonical variates. To do so, we applied CCA between facial expression and context to a balanced sample of 300,000 videos from across all 12 regions (25,000 randomly selected videos per region). Left, loadings of each canonical variate on the 16 facial expression annotations and the maximally loading context annotations. Right, correlations of the resulting canonical variates with individual contexts and expressions, revealing how each variate captures context–expression associations. Unsurprisingly, a traditional parametric test for the significance of each canonical correlation revealed that all 16 dimensions were highly statistically significant (χ2 = 860.4 for 16 variates, P < 10−8, Bartlett’s χ2 test59), a necessary precondition for their significant generalizability across all cultures (Fig. 3c).

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