Top panel: distribution of the void sizes in the observation and the simulation: larger voids are more abundant in the observation. Bottom panel: cumulative plots of the number of voids against their equivalent radii shows again that larger voids are more abundant in the observation. The bottom plots show the volume/radius cumulative curves where both the commulative volume and normalised volumes are plotted against the effective radii of the voids. The histograms show that at large radii, there are more voids in the observation than in the simulation. The lower panels demonstrate that the number and volume of voids are, in general, higher in the simulation than in the observation (see Table 2). Because there are only two catalogues, we cannot perform a proper error analysis and determine the error bars in these figures. However, we performed a Kolmogorov-Smirnov test that shows that the probability of the two samples to have similar distributions is only about 0.004 and hence the difference between the two catalogues reported in these figures is statistically significant.
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