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Pearson's correlation coefficient provides the elemental relationships between the original variables, which are presented in non-parametric form.
Pearson's correlation coefficient provides the elemental relationships between the original variables, which are presented in non-parametric form (Vasanthavigar et al. 2013).
When performing factor analysis on the standardized variables, factor loadings received are correlation coefficients between the original variables and, after rotation, the coordinate values belonging to the turned axes (namely, factor values).
Based on the relation between the original variables and the first canonical pair, 20% of the variance in plant properties was explained by soil attributes that did not include MS and DRS. The range values of MS (33 m) and DRS (29 to54 m) were next to those adjusted for the canonical variables of the attributes of soil (30 m) and plant (34 m).
Factor loadings represent the degree of correlation between the original variables and the factors.
Even so, correlation is still strong and extremely significant between the original variables (Additional file 9).
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The factor loading represents the relative degree between the original variable and some certain common factor.
According to Malinowski's rule, if the absolute value of the correlation between the original variable and the PC (normalized loading) exceeds 0.7, this variable is considered to have a significant influence on the form of the PC.
The loading matrix (UK) consists of the k PCs that have been retained and acts as the transformation matrix between the original variable coordinate system and the new PC-system.
The components of the eigenvector are the cosines of the angles between the original variable axis and the corresponding principal axis.
The loadings indicate the correlation between the original variable and the new principle competent (PC), i.e. they indicate the extent to which the original variables are influential in forming the PC [ 32].
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between the original members
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