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Planck 2015 results
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Table 16

Goodness-of-fit tests for the Plik temperature and polarization spectra at high ℓ.

Multipole
Frequency [GHz] fsky[%]a range χ 2 χ 2 / N ℓ N ℓ b PTE [%] c χ norm d PTEχ [%] e
TT
  100 × 100 ............... 66 30–1197 1234.91 1.06 1168 1.38 8.50 -0.30 76.44
  143 × 143 ............... 57 30–1996 2034.59 1.03 1967 1.08 14.09 -0.39 69.91
  143 × 217 ............... 49 30–2508 2567.11 1.04 2479 1.25 10.63 -1.07 28.25
  217 × 217 ............... 47 30–2508 2549.40 1.03 2479 1.00 15.87 -0.17 86.72
 Co-added ............... 30–2508 2545.50 1.03 2479 0.94 17.22 -0.16 87.17
TE
  100 × 100 ............... 67 30–999 1089.75 1.12 970 2.72 0.43 3.70 0.02
  100 × 143 ............... 50 30–999 1033.38 1.07 970 1.44 7.72 0.92 35.66
  100 × 217 ............... 41 505–999 527.85 1.07 495 1.04 14.85 5.05 0.00
  143 × 143 ............... 50 30–1996 2028.18 1.03 1967 0.98 16.45 -2.21 2.69
  143 × 217 ............... 41 505–1996 1606.06 1.08 1492 2.09 2.02 -0.75 45.19
  217 × 217 ............... 41 505–1996 1431.65 0.96 1492 -1.10 86.60 1.33 18.20
 Co-added ............... 30–1996 2038.54 1.04 1967 1.14 12.76 0.09 93.09
EE
  100 × 100 ............... 70 30–999 1027.14 1.06 970 1.30 9.89 1.13 25.88
  100 × 143 ............... 52 30–999 1048.77 1.08 970 1.79 3.94 1.77 7.72
  100 × 217 ............... 43 505–999 479.49 0.97 495 -0.49 68.33 -3.01 0.26
  143 × 143 ............... 50 30–1996 2001.48 1.02 1967 0.55 28.87 3.74 0.02
  143 × 217 ............... 43 505–1996 1430.95 0.96 1492 -1.12 86.89 -0.71 47.70
  217 × 217 ............... 41 505–1996 1409.48 0.94 1492 -1.51 93.66 -1.39 16.45
 Co-added ............... 30–1996 1991.37 1.01 1967 0.39 34.55 1.88 6.00

Notes.

(a)

Effective fraction of the sky retained in the analysis. For the TE cross-spectra between two different frequencies, we show the smaller fsky of the TE or ET combinations.

(b)

Δχ2 = χ2−Nℓ is the difference from the mean, assuming the best-fit TT base-ΛCDM model is correct, here expressed in units of the expected dispersion, .

(c)

Probability to exceed the tabulated value of χ2.

(d)

Weighted linear sum of deviations, scaled by the standard deviation, as defined in Eq. (60).

(e)

Probability to exceed the absolute value | χnorm |.

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