Planck 2018 results - VII. Isotropy and statistics of the CMB

Planck 2018 results

Open Access

Table 26.

Significance of the angular clustering of the power distribution.

	Mean	% of sims	Min.	% of sims
Data	p-value	(mean)	p-value	(min.)
TT
`Commander`^(a)......	1.06	< 0.10	0.00	< 2.50
`Commander`^(a)^(e)......	4.52	0.40	0.10	3.60
`Commander`^(b)......	1.13	< 0.10	0.00	< 2.50
`Commander`^(b)^(e)......	4.66	0.40	0.10	3.60
`Commander`^(c)......	3.87	0.10	0.00	< 2.60
`Commander`^(c)^(e)......	9.80	1.30	0.10	3.90
`Commander`^(d)......	2.44	< 0.10	0.00	< 2.50
`Commander`^(d)^(e)......	6.69	0.90	0.10	3.50
`NILC`^(d)......	2.42	< 0.10	0.00	< 2.20
`NILC`^(d)^(e)......	7.48	1.10	0.10	3.80
`SEVEM`^(d)......	2.74	0.10	0.00	< 2.30
`SEVEM`^(d)^(e)......	7.62	1.00	0.10	3.30
`SMICA`^(d)......	2.27	< 0.10	0.00	< 2.40
`SMICA`^(d)^(e)......	6.51	0.90	0.10	3.70

TE
`Commander`^(a)......	78.56	92.99	17.32	84.48
`Commander`^(b)......	76.80	91.49	47.05	99.50
`Commander`^(c)......	74.15	88.09	8.81	64.46
`Commander`^(d)......	69.83	81.68	33.53	97.00

EE
`Commander`^(a)......	56.85	60.46	0.10	4.20
`Commander`^(a)^(e)......	73.40	87.19	0.70	13.11
`Commander`^(b)......	39.21	31.13	0.00	< 2.60
`Commander`^(b)^(e)......	70.86	83.38	1.40	19.92
`Commander`^(c)......	53.18	52.65	0.30	7.31
`Commander`^(c)^(e)......	65.31	72.07	0.10	4.30
`Commander`^(d)......	35.93	26.73	0.00	< 2.80
`Commander`^(d)^(e)......	65.73	73.87	0.90	14.51
`NILC`^(d)......	46.65	43.74	0.70	11.21
`NILC`^(d)^(e)......	57.82	61.16	0.20	4.80
`SEVEM`^(d)......	38.41	30.33	0.00	< 2.80
`SEVEM`^(d)^(e)......	64.88	73.67	0.40	6.91
`SMICA`^(d)......	53.17	53.55	0.80	12.31
`SMICA`^(d)^(e)......	70.14	82.28	0.70	11.81

TT/EE angular corr.
`Commander`^(a)......	18.24	4.50	0.00	< 1.30
`Commander`^(b)......	22.32	7.41	0.10	2.30
`Commander`^(c)......	35.21	21.42	0.00	< 1.30
`Commander`^(d)......	36.04	21.22	0.40	5.11

Notes. We indicate the actual mean/min p-value of the data, determined from Figs. 36, 37, 39, and 40 and written as a fraction of the number of simulations used to assess the values, together with the percentage of simulations with a lower mean/minimum p-value than the data.

^(a)

HM split with common mask.

^(b)

OE split with common mask.

^(c)

HM split with HM-unobserved pixel mask.

^(d)

OE split with OE-unobserved pixel mask.

^(e)

Only multipoles above ℓ_min = 100 are considered.

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