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Planck 2015 results
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Table 2

Goodness-of-fit tests for the 2015 Planck temperature and polarization spectra.

Likelihood Frequency Multipole range χ2 χ2/Nd.o.f. Nd.o.f. Δχ2/ PTE [%]

TT 100 × 100 30–1197 1234.37 1.06 1168 1.37 8.66
143 × 143 30–1996 2034.45 1.03 1967 1.08 14.14
143 × 217 30–2508 2566.74 1.04 2479 1.25 10.73
217 × 217 30–2508 2549.66 1.03 2479 1.00 15.78
Combined 30–2508 2546.67 1.03 2479 0.96 16.81

TE 100 × 100 30–999 1088.78 1.12 970 2.70 0.45
100 × 143 30–999 1032.84 1.06 970 1.43 7.90
100 × 217 505–999 526.56 1.06 495 1.00 15.78
143 × 143 30–1996 2028.43 1.03 1967 0.98 16.35
143 × 217 505–1996 1606.25 1.08 1492 2.09 2.01
217 × 217 505–1996 1431.52 0.96 1492 −1.11 86.66
Combined 30–1996 2046.11 1.04 1967 1.26 10.47

EE 100 × 100 30–999 1027.89 1.06 970 1.31 9.61
100 × 143 30–999 1048.22 1.08 970 1.78 4.05
100 × 217 505–999 479.72 0.97 495 −0.49 68.06
143 × 143 30–1996 2000.90 1.02 1967 0.54 29.18
143 × 217 505–1996 1431.16 0.96 1492 −1.11 86.80
217 × 217 505–1996 1409.58 0.94 1492 −1.51 93.64
Combined 30–1996 1986.95 1.01 1967 0.32 37.16

Notes. Δχ2 = χ2Nd.o.f. is the difference from the mean assuming that the best-fit base ΛCDM model (fitted to Planck TT+lowP) is correct and Nd.o.f. is the number of degrees of freedom (set equal to the number of multipoles). The sixth column expresses Δχ2 in units of the expected dispersion, , and the last column lists the probability to exceed (PTE) the tabulated value of χ2.