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Starting from the layer structure (incorporation rate, particle distribution, agglomeration, type of crystallisation of the matrix), correlations between textures, internal tensions and hardness are described.
In the upper right hand section of the matrix, correlations between crime rates and three of the four visitor variables range from 0.72 to 0.95.
Furthermore, rarefaction analyses also show that matrix correlations between two species decrease with reduced sample size.
For this purpose, we computed matrix correlations between the respective covariance matrices for those 95 genotypes for which there were at least 50 specimens.
The matrix correlations between species were used to build the matrix of similarity of integration (hereafter, MSI), which consists of pairwise matrix correlations (Appendix S2).
For example, the matrix correlations between all pairs of species that are related at the genus level are averaged, versus all pairs that are related at the family level but not at the genus level, etc.
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The boxes depict the adjacency matrix correlation between the respective two networks (r), the difference in global network strength between the respective two networks (S), the difference in global network expected influence (EI) between the respective two networks (EI), and the p-value corresponding to the global network strength and global network EI comparisons (5000 comparison samples).
Mantel's test randomly reorders the rows and columns of one of the two correlation matrices being compared and recalculates the matrix correlation between the two matrices [44].
Similarly, a Mantel test for matrix correlation between genetic similarity (M) and geographic distance using the shortest distance over land showed no significant negative correlation for the full dataset (Z = 46*1011, r = 0.112, one-sided p = 0.918) or the stripped dataset (Z = 24*1011, r = 0.058, one-sided p = 0.775).
A Mantel test for matrix correlation between genetic similarity (M) and geographic distance using great circle distances showed no significant negative correlation for the full dataset (Z = 28*1011, r = 0.127, one-sided p = 0.958) or the stripped dataset (Z = 16*1011, r = 0.131, one-sided p = 0.948).
GDM is a matrix regression technique that predicts biotic dissimilarity across the landscape based on the matrix correlation between biotic dissimilarity and environmental dissimilarity plus geographic distance between sites where the species has been sampled.
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