Table 16.
Probabilities of obtaining values for the χ2 statistic of the N-point functions for the Planck fiducial ΛCDM model at least as large as the observed values for the Commander, NILC, SEVEM, and SMICA temperature and polarization Q and U maps estimated on northern and southern ecliptic hemispheres.
| Probability [%] |
|||||
|---|---|---|---|---|---|
| Function | Hemisphere | Comm. | NILC | SEVEM | SMICA |
| 2-point functions | |||||
| TT...... | Northern | 30.5 | 30.7 | 29.6 | 30.9 |
| Southern | 80.2 | 81.5 | 80.5 | 80.7 | |
| QrQr...... | Northern | 92.4 | 36.9 | 87.9 | 82.5 |
| Southern | 24.3 | 52.6 | 61.7 | 70.0 | |
| UrUr...... | Northern | 44.4 | 38.3 | 45.8 | 24.1 |
| Southern | 45.2 | 12.7 | 87.6 | 69.5 | |
| TQr...... | Northern | 36.4 | 41.1 | 39.2 | 40.3 |
| Southern | 72.6 | 82.1 | 63.5 | 57.5 | |
| TUr...... | Northern | 53.8 | 27.0 | 97.1 | 53.8 |
| Southern | 84.5 | 67.1 | 43.2 | 53.5 | |
| QrUr...... | Northern | 67.0 | 28.6 | 25.9 | 18.4 |
| Southern | 45.5 | 62.5 | 92.1 | 59.5 | |
| Pseudo-collapsed 3-point functions | |||||
| TTT...... | Northern | 81.6 | 84.5 | 83.0 | 83.8 |
| Southern | 19.7 | 18.5 | 18.8 | 17.7 | |
| QrQrQr...... | Northern | 81.7 | 88.6 | 49.8 | 84.1 |
| Southern | 26.6 | 51.4 | 22.3 | 21.0 | |
| UrUrUr...... | Northern | 72.3 | 56.1 | 51.6 | 45.3 |
| Southern | 5.6 | 5.6 | 8.8 | 2.1 | |
| TTQr...... | Northern | 74.7 | 53.2 | 51.4 | 68.5 |
| Southern | 27.8 | 24.7 | 35.8 | 19.6 | |
| TTUr...... | Northern | 98.0 | 84.7 | 98.8 | 96.9 |
| Southern | 23.7 | 28.0 | 26.4 | 44.1 | |
| TQrQr...... | Northern | 69.2 | 81.2 | 58.7 | 53.1 |
| Southern | 2.4 | 5.4 | 12.9 | 1.4 | |
| TUrUr...... | Northern | 94.0 | 99.6 | 92.5 | 86.0 |
| Southern | 20.4 | 50.3 | 27.2 | 20.1 | |
| TQrUr...... | Northern | 85.0 | 74.4 | 87.4 | 91.5 |
| Southern | 60.8 | 24.6 | 23.6 | 23.9 | |
| QrQrUr...... | Northern | 63.3 | 60.1 | 86.7 | 55.8 |
| Southern | 2.8 | 5.5 | 5.6 | 2.7 | |
| QrUrUr...... | Northern | 55.0 | 53.0 | 37.0 | 70.9 |
| Southern | 30.2 | 52.4 | 16.3 | 31.8 | |
| Equilateral 3-point functions | |||||
| TTT...... | Northern | 94.3 | 94.3 | 94.4 | 94.3 |
| Southern | 81.5 | 81.4 | 81.3 | 80.4 | |
| QrQrQr...... | Northern | 82.0 | 41.2 | 89.2 | 68.7 |
| Southern | 17.7 | 15.3 | 4.3 | 3.6 | |
| UrUrUr...... | Northern | 57.5 | 91.4 | 32.9 | 82.0 |
| Southern | 40.8 | 15.2 | 12.4 | 9.4 | |
| TTQr...... | Northern | 99.5 | 99.8 | 98.1 | > 99.9 |
| Southern | 32.2 | 12.8 | 34.7 | 39.4 | |
| TTUr...... | Northern | 95.2 | 99.5 | 86.4 | 94.6 |
| Southern | 23.4 | 42.2 | 27.7 | 40.1 | |
| TQrQr...... | Northern | 91.9 | 72.9 | 94.5 | 99.1 |
| Southern | 57.2 | 59.9 | 54.5 | 12.4 | |
| TUrUr...... | Northern | 82.4 | 96.2 | 78.2 | 83.4 |
| Southern | 72.1 | 91.5 | 80.2 | 54.1 | |
| TQrUr...... | Northern | 91.3 | 79.3 | 93.8 | 94.6 |
| Southern | 68.9 | 55.4 | 73.3 | 50.2 | |
| QrQrUr...... | Northern | 93.6 | 76.9 | 43.7 | 87.5 |
| Southern | 32.5 | 45.5 | 10.6 | 11.7 | |
| QrUrUr...... | Northern | 93.4 | 74.2 | 52.7 | 86.4 |
| Southern | 36.0 | 12.4 | 60.2 | 13.1 | |
Notes. In this table high probabilities represent significant differences between the two hemispheres.
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