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Univariate associations between parameters were described by Pearson correlation coefficient.
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Associations between all parameters were described by correlation analysis.
Linear correlations between two parameters were described by Spearman's rank correlation coefficient.
The differences between individual parameters were described using random effects, which were assumed to be normally distributed with mean zero.
The formulas and correspondence between these 2D and 3D parameters were described in Table 2.
Then, the results of comparisons between profiles of atmospheric parameters are described.
These considerations are discussed in greater detail below, where a correlation between hybridized state time and structural parameters is described.
Here the relationship between the forecasted parameter and the input parameters are described by an equation of the form: begin{aligned} {{varvec{y}}}={{varvec{x}}}cdot {varvec{beta }} +{varvec{varepsilon }} end{aligned} (3).
Here the relationship between the forecasted parameter and the input parameters are described by an equation of the form: begin{aligned} {{varvec{y}}}={{varvec{x}}}cdot {varvec{beta }} +{varvec{varepsilon }} end{aligned} (3) where ({{varvec{x}}}) is the input vector, ({varvec{beta }}) is the slope vector and ({varvec{varepsilon }}) the error vector.
The relation between non-saturation, saturation, and time-saturation models was analyzed, and the change between all models depending on the system parameters was described.However, since the performance of non-saturation and saturation system has been analyzed in several literatures, in this paper, another object, such as delay, energy, and so on, was not considered.
All parameters are described in detail in Supplementary Table S5.
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