Skip to main content
Figure 1 | BMC Bioinformatics

Figure 1

From: Comparison of co-expression measures: mutual information, correlation, and model based indices

Figure 1

Relating mutual information based adjacencies to the Pearson correlation and biweight midcorrelation in simulation. Each point corresponds to a pair of numeric vectors x and y with length m = 1000 . These pairs of vectors were simulated to exhibit different correlations. AUV1, AUV2, cor, bicor are abbreviations for AMI,UniversalVersion 1, AMI,UniversalVersion 2, Pearson correlation and biweight midcorrelation, respectively. (A) MI-based adjacency AMI,UniversalVersion 2versus absolute Pearson correlation. Spearman correlation of the two measures and the corresponding p-value are shown at the top, implying a strong monotonic relationship. The red line shows the predicted AMI,UniversalVersion 2according to FcorMI(Eq. 18). Note that the prediction function is highly accurate in simulation. (B) Observed AMI,UniversalVersion 2versus its predicted value. The straight line has slope 1 and intercept 0. (C) Observed Pearson correlation (x-axis) and the corresponding bicor values (y-axis). The straight line has slope 1 and intercept 0. These 2 measurements are practically indistinguishable when x and y are normally distributed. (D) AMI,UniversalVersion 2versus bicor. Spearman correlation and p-value of the 2 measurements are presented at the top, and predicted AMI,UniversalVersion 2are shown as the red line. (E) AMI,UniversalVersion 2versus AMI.SymmetricUncertainty. (F) AMI,UniversalVersion 2versus AMI,UniversalVersion 1.

Back to article page