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Next section: Example values The formula for Pearson's correlation takes on many forms. A commonly used formula is shown below. The formula looks a bit complicated, but taken step by step as shown in the numerical example, it is really quite simple. The percentage of shared variance (100*r 2) is: 100 * (R**2)  6.826704. To test whether your correlation coefficient differs from 0, use the cor.test() command. cor.test(CHILDREN, SPEND) Pearson's product-moment correlation data: CHILDREN and SPEND t = -1.2696, df = 22, p-value = 0.2175 alternative hypothesis: true correlation is not equal to 0 compare_distance_matrices.py – Computes Mantel correlation tests between sets of distance matrices¶ Description: This script compares two or more distance/dissimilarity matrices for correlation by providing the Mantel, partial Mantel, and Mantel correlogram matrix correlation tests. The Mantel test will test the correlation between two matrices.