Table 3
Percentage of simulations showing a lower variance, skewness, or kurtosis than the P maps, the “lower-tail probability”.
| Lower-tail Probability | ||||
|
|
||||
| 1- Point Statistic | Commander | NILC | SEVEM | SMICA |
|
|
||||
| Data | ||||
| Nside = 1024 | ||||
| Variance ................ | 100.0 | 100.0 | 100.0 | 100.0 |
| Skewness ................ | 89.5 | 99.9 | 93.6 | 73.0 |
| Kurtosis ................ | 45.9 | 95.9 | 85.1 | 49.7 |
| Excess var. [%] ................ | 3.5 | 4.0 | 4.5 | 3.2 |
| Nside = 256 | ||||
| Variance ................ | 100.0 | 100.0 | 100.0 | 100.0 |
| Skewness ................ | 62.3 | 54.8 | 57.6 | 33.0 |
| Kurtosis ................ | 44.5 | 39.4 | 52.8 | 24.2 |
| Excess var. [%] ................ | 7.5 | 8.6 | 9.2 | 6.9 |
| Nside = 64 | ||||
| Variance ................ | 100.0 | 100.0 | 100.0 | 100.0 |
| Skewness ................ | 0.0 | 22.3 | 14.6 | 26.4 |
| Kurtosis ................ | 0.1 | 22.1 | 6.6 | 30.3 |
| Excess var. [%] | 11.7 | 18.0 | 20.5 | 16.5 |
| FFP8 ................ | ||||
| Nside = 1024 | ||||
| Variance ................ | 95.9 | 100.0 | 100.0 | 100.0 |
| Skewness ................ | 77.0 | 90.1 | 64.6 | 91.2 |
| Kurtosis ................ | 88.1 | 98.5 | 65.6 | 99.4 |
| Nside = 256 | ||||
| Variance ................ | 92.3 | 82.5 | 79.9 | 62.0 |
| Skewness ................ | 72.5 | 25.7 | 17.1 | 62.3 |
| Kurtosis ................ | 65.8 | 23.1 | 25.6 | 58.9 |
| Nside = 64 | ||||
| Variance ................ | 97.5 | 90.9 | 68.7 | 78.1 |
| Skewness ................ | 89.8 | 53.0 | 48.2 | 66.8 |
| Kurtosis ................ | 73.0 | 27.5 | 33.1 | 35.9 |
Notes. The top half of the table shows results for the data, and the bottom half for the FFP8 fiducial map, using the UPB77 and FFP8-UPA76 masks, respectively. In addition, we report the excess variance of the data in percent with respect to the mean of the variance distribution of the simulations.
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