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As a result, most of bilinear TFRs are not suitable to study the time-varying linear interdependence of time series.
This indicates a large degree of linear interdependence among the variables as a group, at all four times.
In addition to the pair-wise measures of linear association provided by the entries of the variance-covariance matrix, the relative size of its leading (largest) eigenvalues capture the degree of linear interdependence among the variables as a group.
The association rate kon was fitted in a section for the association phase that shows a linear interdependence in the derivative ln abs dy/dx)).
Pearson's r can be viewed as an indicator that describes a linear interdependence between two variables, ranging from −1 to 1.
To evaluate data outliers and linear interdependence of variables, we used box-plots and pair-plots, respectively [ 59] (see additional file 2: data evaluation).
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Their method is based on the method of Mirowski et al.[50] that uses non-linear interdependence, cross-correlation, difference of Lyapunov exponents, and phase locking.
We then assessed the performance of the three estimators by linear regression of the estimated interdependence (Figure 4) against the analytic coherence (Figure 2).
Therefore, the bivariate measures, such as phase synchronization [ 13– 16], linear correlation [ 17], and nonlinear interdependence [ 17], have received close attention from researchers.
The calibration procedure is based on a multiple linear regression technique that takes into account interdependence among elements and is constrained by the stoichiometry of minerals.
Univariate linear regression analysis was used to test the interdependence of leaflet dimensions.
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