Planck 2015 results - XIII. Cosmological parameters

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/N_d.o.f.	N_d.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 = χ²−N_d.o.f. is the difference from the mean assuming that the best-fit base ΛCDM model (fitted to Planck TT+lowP) is correct and N_d.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.

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