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Using varimax rotation with Kaiser Normalization, PCA was performed on the metal data maximizing the sum of the variance of the factor coefficients.
Varimax rotation (Gotelli and Ellison 2004) was used to maximize the sum of the variance of the factor coefficients which better explained the possible groups or sources that influenced the water system.
W n, complex AWGN values, which are iid circularly symmetric complex Gaussian rv with variance σ2 (the variance of a complex random variable is the sum of the variance of the real part and that of the imaginary part).
Reliability was assessed with the intraclass correlation coefficient (ICC), which represents a ratio of the variance of interest over the sum of the variance of interest plus error [8].
The variance in total species number (or total density of individuals) in samples was compared to the sum of the variance of the individual species using the following equation (Schluter 1984): V = frac{{S_{T}^{2} }}{{mathop sum nolimits delta_{i}^{2} }}.
Levels of shape variation were recorded as the sum of the variance of each shape variable.
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The total phenotypic variance is the sum of the genetic variance and the variance of the error terms of ε in (2), denoted as.
where Δ is the sum of the variances of the occupation numbers shown in Figure 2 by crosses.
Under exclusive consideration of Type A variance, the criteria of A-optimality was applied to the designs by minimizing the sum of the variances.
According to this principle, the full variance of the model output is given by the sum of the variances of all input factors (Saltelli et al. 2008).
Thus the variance of (t_{t}) is the sum of the variances of (f_{t}) and of (r_{t}): (V_{t}=V_{f}+V_{r}).
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