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The matrix Ψ x ≽0 denotes a correlation matrix with unit elements on its diagonal.
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The planes denote a correlation difference of zero and are red when the confidence intervals pass through zero, indicating that the actual difference between the two compared methods might be zero.
We denoted a correlation as a significant correlation when its p-value < 0.05, in which a significant positive correlation if the correlation is positive, otherwise a significant negative correlation.
Undirected functional connectivity is typically used to denote a correlation or co-activation between 2 nodes in a network (e.g., Biswal et al. 1995; Schneidman et al. 2006).
Note that equation (2) extends the original model: ρ now denotes not a correlation but is interpreted as a slope where | ρ| > 1 is allowed.
(A) This figure shows the correlation strength (signed, negative log10 p-value: positive denotes a direct correlation) between 7 known gene markers of common brain cell types and the AD-related traits analyzed in this study.
Note that the darker blue and larger shading denotes a higher correlation.
*** Denotes a significant correlation with P <0.001.
A positive parameter estimate denotes a positive correlation between independent variable and QOL score, while a negative parameter estimate indicates an inverse relationship.
Instead, we used the following de-correlated values to estimate the replicate variance σ j, k 2 (i ) : x j, k i - x ¯ j, k i ′ * Chol (R ^ j, k ) Here x j, k i is a vector of length R and R ^ j, k denotes a sub-correlation matrix for replicates of factor k in condition j, obtained from the full correlation matrix R ^ j.
Correlations between the craniofacial, cervical, and posture parameters were assessed by Pearson's correlation coefficient r with r > 0.1 denoting a small correlation, r > 0.3 a medium correlation, and r > 0.5 a strong correlation.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com