Left panels: histograms of the p values derived from the Monte Carlo simulations to test the statistical significance of the correlation between the deviation of DM_cosmic (ΔDM_cosmic) and the density increment (Fig. 3). The top and bottom panels show the WISE × PS1 and WISE × SCOS samples, respectively. The conventionally adopted significance threshold, p value = 0.05, is shown as the vertical red line. Right panels: same as the left panels, but for the Pearson coefficients derived from the Monte Carlo simulations.