Planck 2018 results
Open Access

Table 18.

Probabilities of obtaining values for the ratio of χ2 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 northern and southern ecliptic hemispheres.

Probability [%]
Function Comm. NILC SEVEM SMICA
2-point functions
TT...... 73.2 74.8 73.5 73.5
QrQr...... 89.3 22.4 51.9 27.4
UrUr...... 14.5 48.1 63.2 62.7
TQr...... 50.5 61.7 41.3 23.8
TUr...... 62.1 63.0 89.8 1.0
QrUr...... 33.7 43.1 91.6 62.2

Pseudo-collapsed 3-point functions
TTT...... 77.0 81.0 79.9 80.8
QrQrQr...... 73.3 68.2 44.6 85.4
UrUrUr...... 93.8 89.0 76.9 90.0
TTQr...... 63.7 40.2 20.4 65.6
TTUr...... 96.9 76.8 97.5 87.9
TQrQr...... 90.2 91.8 62.2 87.3
TUrUr...... 90.7 92.4 90.5 85.1
TQrUr...... 52.3 73.1 89.2 87.5
QrQrUr...... 96.0 88.7 98.7 91.4
QrUrUr...... 40.8 1.1 45.2 49.4

Equilateral 3-point functions
TTT...... 40.0 39.9 40.8 42.5
QrQrQr...... 84.1 42.7 97.1 92.8
UrUrUr...... 27.4 94.7 36.6 91.4
TTQr...... 97.6 99.3 88.7 99.5
TTUr...... 92.5 98.2 80.9 85.1
TQrQr...... 47.2 12.2 56.3 98.2
TUrUr...... 21.8 15.5 33.2 45.6
TQrUr...... 43.0 39.5 32.4 69.7
QrQrUr...... 89.5 46.9 64.1 93.4
QrUrUr...... 85.0 84.2 13.5 91.1

Notes. In this table high probabilities represent significant differences between the two hemispheres.

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