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Table B.1

Results of KS-test for Gaussianity for three kinds of the aperture statistic at scales θ = 2, 20, 60, 120 arcmin (in this order).

Samplea
SM1 low-z 0.54 0.08 0.35 0.16 0.44 0.28 0.06 0.05 0.01 0.02 0.00 0.01
SM2 low-z 0.52 0.23 0.97 0.35 0.71 0.90 0.25 0.06 0.31 0.04 0.06 0.01
SM3 low-z 0.04 0.18 0.35 0.00 0.44 0.74 0.61 0.84 0.76 0.28 0.03 0.00
SM4 low-z 0.08 0.16 0.20 0.76 0.86 0.94 0.23 0.01 0.41 0.05 0.07 0.16
SM5 low-z 0.52 0.05 0.95 0.16 0.16 0.04 0.31 0.01 0.16 0.20 0.20 0.16
SM6 low-z 0.22 0.44 0.65 0.82 0.08 0.18 0.84 0.08 0.12 0.22 0.02 0.00
RED low-z 0.31 0.00 0.00 0.00 0.67 0.02 0.56 0.00 0.06 0.03 0.02 0.06
BLUE low-z 0.47 0.96 0.47 0.71 0.77 0.89 0.12 0.77 0.31 0.07 0.20 0.05
SM1 high-z 0.08 0.07 0.93 0.28 0.33 0.44 0.02 0.24 0.24 0.08 0.00 0.00
SM2 high-z 0.57 0.37 0.50 0.44 0.79 0.64 0.44 0.41 0.31 0.12 0.00 0.01
SM3 high-z 1.00 0.28 0.12 0.89 0.84 0.23 0.06 0.87 0.44 0.04 0.04 0.00
SM4 high-z 0.50 0.44 0.50 0.06 0.94 0.50 0.96 0.64 0.08 0.22 0.00 0.00
SM5 high-z 0.71 0.13 0.61 0.01 0.47 0.24 0.71 0.00 0.86 0.06 0.00 0.44
SM6 high-z 0.64 0.08 0.64 0.18 0.52 0.86 0.61 0.23 0.52 0.01 0.06 0.18
RED high-z 0.07 0.41 0.20 0.00 0.41 0.05 0.41 0.54 0.31 0.20 0.25 0.00
BLUE high-z 0.08 0.67 0.08 0.55 0.46 0.22 0.63 0.02 0.86 0.17 0.55 0.08

Notes. Quoted are the p-values of the test statistic. Values p ≤ 0.05 indicate a tension witha Gaussian distribution at 95% confidence or higher. The tests use the empirical distribution of the aperture statistics in 64 fields of our mock data with 4 × 4 deg2 area each. Realisations of the source shape-noise and positions are different for each lens sample. (a) Mock sample used in analysis (lenses); (b) variances of aperture number count for sequence of aperture scales; (c) sequence of covariances between aperture number count and aperture mass; (d) sequence of variances of aperture mass.

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