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The Kendall-Tau-b coefficients failed to reveal any significant correlations between the presence of fungal organisms and the proportions of M. salivarium (0.38), V. parvula (−0.24), S. aureus (−0.33), and P. gingivalis (−0.51) (P > 0.05, respectively).
The Kendall-Tau-b coefficients failed to reveal any significant correlations between the presence of fungal organisms and the proportions of M. salivarium (−0.26), V. parvula (0.26), S. aureus (0.34), and P. gingivalis (0.09) as well as disease severity (0.26) (P > 0.05, respectively).
The Kendall-Tau-b coefficients failed to reveal any significant correlations between the presence of fungal organisms and the proportions of M. salivarium (0.25), V. parvula (0.34), P. gingivalis (0.60), P. micra (0.32), T. forsythia (0.12), and S. aureus (0.66) (P > 0.05, respectively).
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On the other hand, the MP coefficients well represent the frequency components without the problem of the spectra components interference, such as these components at A, B, and C shown in Figure 2d, but the DFT coefficients fail to do this even in the noise-free case.
However, correlation coefficients fail to capture more complex statistical dependencies (e.g. non-linear ones) between expression patterns, and thus more general measures of dependency based on mutual information (MI), have been proposed.
Also Dorado et al. (2009) concluded that there is a need for an accurate method to determine mass transfer parameters specifically in biological gas treatment systems after they showed that existing mathematical correlations for mass transfer coefficients fail to predict their experimentally obtained data.
The classical linear driving force (LDF) model with a constant mass transfer coefficient failed to correlate the experimental adsorption kinetics data.
However, firing rate and correlation coefficient fail to differentiate these similar memories.
Although several individuals possessed significantly higher coefficients of coancestry in the C. maenas cluster, in only one case did the 95% confidence interval surrounding that coefficient fail to overlap with zero (the individual in that case possessed the C. maenas COI haplotype H1).
Attempts to develop a virial type of expansion in 1/v for the transport coefficients have failed in a surprising way.
This was confirmed by the Spearman Correlation Coefficient that failed to indicate statistical significance in both groups.
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