Table 17.
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 of the statistics for the Commander, NILC, SEVEM, and SMICA temperature and polarization Q and U maps estimated on negative and positive hemispheres defined by the DM reference frame.
| Probability [%] |
|||||
|---|---|---|---|---|---|
| Function | Hemisphere | Comm. | NILC | SEVEM | SMICA |
| 2-point functions | |||||
| TT...... | Negative | 46.4 | 45.1 | 45.2 | 46.6 |
| Positive | 56.8 | 57.1 | 57.6 | 58.0 | |
| QrQr...... | Negative | 25.8 | 24.6 | 77.5 | 14.1 |
| Positive | 6.3 | 98.4 | 14.5 | 11.9 | |
| UrUr...... | Negative | 43.4 | 11.1 | 78.7 | 23.9 |
| Positive | 17.7 | 15.0 | 10.2 | 3.2 | |
| TQr...... | Negative | 29.6 | 52.9 | 20.8 | 49.7 |
| Positive | 1.9 | 3.3 | 0.5 | 2.5 | |
| TUr...... | Negative | 80.2 | 89.0 | 81.4 | 79.2 |
| Positive | 9.7 | 4.2 | 17.6 | 2.7 | |
| QrUr...... | Negative | 33.8 | 4.0 | 13.0 | 17.2 |
| Positive | 10.9 | 4.3 | 15.8 | 1.2 | |
| Pseudo-collapsed 3-point functions | |||||
| TTT...... | Negative | 96.1 | 96.6 | 96.4 | 96.3 |
| Positive | 5.2 | 4.9 | 5.0 | 5.1 | |
| QrQrQr...... | Negative | 91.9 | 92.4 | 59.0 | 99.1 |
| Positive | 4.5 | 18.8 | 2.0 | 1.1 | |
| UrUrUr...... | Negative | 22.3 | 42.5 | 13.5 | 78.6 |
| Positive | 6.3 | 7.9 | 4.2 | 5.6 | |
| TTQr...... | Negative | 77.0 | 43.4 | 78.1 | 85.4 |
| Positive | 50.4 | 60.9 | 44.8 | 39.4 | |
| TTUr...... | Negative | 95.9 | 88.5 | 87.3 | 97.2 |
| Positive | 6.8 | 8.7 | 4.6 | 5.5 | |
| TQrQr...... | Negative | 95.7 | 76.9 | 99.7 | 94.2 |
| Positive | 3.2 | 8.3 | 12.1 | 5.5 | |
| TUrUr...... | Negative | 79.6 | 63.7 | 56.3 | 66.0 |
| Positive | 81.6 | 92.0 | 82.0 | 42.6 | |
| TQrUr...... | Negative | 76.3 | 72.1 | 80.9 | 94.7 |
| Positive | 55.7 | 25.5 | 58.7 | 14.3 | |
| QrQrUr...... | Negative | 68.7 | 30.2 | 71.8 | 44.3 |
| Positive | 3.4 | 1.9 | 1.1 | 0.9 | |
| QrUrUr...... | Negative | 96.5 | 90.3 | 48.7 | 94.2 |
| Positive | 17.1 | 16.1 | 15.9 | 6.6 | |
| Equilateral 3-point functions | |||||
| TTT...... | Negative | 95.8 | 95.9 | 95.2 | 95.8 |
| Positive | 76.4 | 73.9 | 74.5 | 73.9 | |
| QrQrQr...... | Negative | 77.4 | 22.3 | 57.4 | 68.9 |
| Positive | 9.0 | 6.9 | 3.3 | 3.7 | |
| UrUrUr...... | Negative | 87.3 | 54.9 | 37.7 | 79.0 |
| Positive | 22.2 | 19.3 | 26.9 | 11.8 | |
| TTQr...... | Negative | 94.7 | 82.1 | 97.5 | 98.7 |
| Positive | 18.4 | 15.0 | 12.1 | 18.9 | |
| TTUr...... | Negative | 95.3 | 97.5 | 87.6 | 96.0 |
| Positive | 38.7 | 37.8 | 13.4 | 49.1 | |
| TQrQr...... | Negative | 75.7 | 68.9 | 64.7 | 84.9 |
| Positive | 22.0 | 15.5 | 40.0 | 4.7 | |
| TUrUr...... | Negative | 68.0 | 86.3 | 67.4 | 68.3 |
| Positive | 54.3 | 70.5 | 33.9 | 26.8 | |
| TQrUr...... | Negative | 59.7 | 30.0 | 64.1 | 63.3 |
| Positive | 26.1 | 57.5 | 24.6 | 13.2 | |
| QrQrUr...... | Negative | 92.6 | 30.8 | 51.4 | 74.3 |
| Positive | 3.2 | 22.8 | 1.9 | 0.9 | |
| QrUrUr...... | Negative | 80.1 | 66.0 | 82.4 | 67.4 |
| Positive | 15.1 | 15.5 | 42.9 | 6.1 | |
Notes. In this table high probabilities represent significant differences between the two hemispheres.
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