Table 1.
Detection significance of the third-order aperture measures for a range of setups.
| Setup | ndata | p-value (no cosmic variance) | p-value | S/N | |||
|---|---|---|---|---|---|---|---|
| ⟨ℳap3⟩ | ⟨ℳap2ℳ×⟩ | ⟨ℳapℳ×2⟩ | ⟨ℳ×3⟩ | ⟨ℳap3⟩ | ⟨ℳap3⟩ | ||
| Non-tomographic (equal θ) | 10 | 5.7 × 10−28 | 0.90 | 0.09 | 0.26 | 0.05 | 3.19 |
| Non-tomographic (mixed θ) | 20 | 6.5 × 10−51 | 0.52 | 0.27 | 0.19 | 0.02 | 4.60 |
| Tomographic (Z1 = Z2 = Z3) | 50 | 4.0 × 10−4 | 0.30 | 0.08 | 0.49 | 0.17 | 3.14 |
| Tomographic (all) | 350 | 9.2 × 10−36 | 0.55 | 0.22 | 0.52 | 0.08 | 6.69 |
| Tomographic (Zmin = 2) | 200 | 9.8 × 10−38 | 0.38 | 0.87 | 0.50 | 0.11 | 5.32 |
| Tomographic (Zmin = 3) | 100 | 1.6 × 10−26 | 0.82 | 0.46 | 0.78 | 0.33 | 2.51 |
| Tomographic (Zmin = 4) | 40 | 2.9 × 10−21 | 0.86 | 0.32 | 0.63 | 0.10 | 3.57 |
| Tomographic (Zmin = 5) | 10 | 1.6 × 10−9 | 0.61 | 0.30 | 0.42 | 0.01 | 3.83 |
Notes. The second column displays the length of the data vector for each setup. The next four columns display the p- values for the aperture measures under the assumption of no cosmological signal; in this case, the covariance for ⟨ℳap3⟩ does not include the cosmic variance contribution. In the final two columns, we show the p-value and the S/N of the ⟨ℳap3⟩ data vector when including cosmic variance. For all but the second row, only equal-scale apertures are used.
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