Planck 2015 results
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Table 16

Probabilities of obtaining values for the χ2 statistic and ratio of χ2 of the N-point functions shown in Fig. 18 for the Planck fiducial ΛCDM model at least as large as the observed values of the statistic for the SMICA map on hemispheres defined by the ecliptic (first column), Doppler boost (DB, second column), and dipolar modulation (DM, third column) reference frames.

Probability [%]

Hemisphere Ecl. DB DM

2-point function
Negative ............. 88.0 86.9 61.8
Positive ............. 77.6 91.1 59.9
χ2-ratio ............. 22.3 5.1 7.7
Pseudo-collapsed 3-point function
Negative ............. 99.7 64.1 95.9
Positive ............. 31.4 79.3 48.3
χ2-ratio ............. 98.4 23.3 78.6
Equilateral 3-point function
Negative ............. 98.4 54.8 >99.9
Positive ............. 42.6 95.0 78.4
χ2-ratio ............. 86.7 67.7 88.2
Rhombic 4-point function
Negative ............. 99.6 46.4 97.5
Positive ............. 20.1 86.3 23.2
χ2-ratio ............. 97.0 57.9 92.5

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