List of anomalous multipoles whose alignment measures have a probability of |$p\le 0.05$|, cumulative binomial probability of having found the observed number of anomalous modes (using |$\mathbb {P}=0.05$|), and test of random distribution of PEVs using Kuper's ‘V’ statistic with respect to CMB dipole (columns 2–4), Galactic plane (columns 5–7), and ecliptic plane (columns 8–10) when compared with simulations. Alignment statistic ‘x’ and Kuiper statistic ‘V’ are defined in the text.
. | CMB dipole (|$\parallel$|) . | Galactic plane (|$\perp$|) . | Ecliptic plane (|$\perp$|) . | ||||||
---|---|---|---|---|---|---|---|---|---|
Data set . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . |
probability . | of V . | probability . | of V . | probability . | of V . | ||||
WILC 1 yr | 2, 21, 41, 42, 61 | 0.180 | 0.771 | 47, 51 | 0.808 | 0.670 | 27, 29, 52, 54 | 0.353 | 0.870 |
WILC 3 yr | 21, 42, 44, 61 | 0.353 | 0.601 | 51 | 0.954 | 0.254 | 8, 31, 47 | 0.583 | 0.627 |
WILC 5 yr | 21, 42, 44, 61 | 0.353 | 0.371 | 55 | 0.954 | 0.232 | 8, 26, 31, 47 | 0.353 | 0.927 |
WILC 7 yr | 21, 36, 42, 44, 61 | 0.180 | 0.733 | 51 | 0.954 | 0.586 | 8, 10 | 0.808 | 0.752 |
WILC 9 yr | 21, 42, 44, 61 | 0.353 | 0.768 | 57 | 0.954 | 0.797 | 8, 31, 47, 49 | 0.353 | 0.639 |
PR1 ILC | 3, 21, 42, 44, 61 | 0.180 | 0.921 | – | 1 | 0.804 | 18, 47 | 0.808 | 0.863 |
PR2 smica | 2, 21, 36, 42, 44, 61 | 0.079 | 0.595 | 55 | 0.954 | 0.570 | 2, 8, 47 | 0.583 | 0.915 |
PR3 smica | 2, 21, 42, 44, 61 | 0.180 | 0.909 | 35 | 0.954 | 0.570 | 2, 8, 10, 47 | 0.353 | 0.830 |
. | CMB dipole (|$\parallel$|) . | Galactic plane (|$\perp$|) . | Ecliptic plane (|$\perp$|) . | ||||||
---|---|---|---|---|---|---|---|---|---|
Data set . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . |
probability . | of V . | probability . | of V . | probability . | of V . | ||||
WILC 1 yr | 2, 21, 41, 42, 61 | 0.180 | 0.771 | 47, 51 | 0.808 | 0.670 | 27, 29, 52, 54 | 0.353 | 0.870 |
WILC 3 yr | 21, 42, 44, 61 | 0.353 | 0.601 | 51 | 0.954 | 0.254 | 8, 31, 47 | 0.583 | 0.627 |
WILC 5 yr | 21, 42, 44, 61 | 0.353 | 0.371 | 55 | 0.954 | 0.232 | 8, 26, 31, 47 | 0.353 | 0.927 |
WILC 7 yr | 21, 36, 42, 44, 61 | 0.180 | 0.733 | 51 | 0.954 | 0.586 | 8, 10 | 0.808 | 0.752 |
WILC 9 yr | 21, 42, 44, 61 | 0.353 | 0.768 | 57 | 0.954 | 0.797 | 8, 31, 47, 49 | 0.353 | 0.639 |
PR1 ILC | 3, 21, 42, 44, 61 | 0.180 | 0.921 | – | 1 | 0.804 | 18, 47 | 0.808 | 0.863 |
PR2 smica | 2, 21, 36, 42, 44, 61 | 0.079 | 0.595 | 55 | 0.954 | 0.570 | 2, 8, 47 | 0.583 | 0.915 |
PR3 smica | 2, 21, 42, 44, 61 | 0.180 | 0.909 | 35 | 0.954 | 0.570 | 2, 8, 10, 47 | 0.353 | 0.830 |
List of anomalous multipoles whose alignment measures have a probability of |$p\le 0.05$|, cumulative binomial probability of having found the observed number of anomalous modes (using |$\mathbb {P}=0.05$|), and test of random distribution of PEVs using Kuper's ‘V’ statistic with respect to CMB dipole (columns 2–4), Galactic plane (columns 5–7), and ecliptic plane (columns 8–10) when compared with simulations. Alignment statistic ‘x’ and Kuiper statistic ‘V’ are defined in the text.
. | CMB dipole (|$\parallel$|) . | Galactic plane (|$\perp$|) . | Ecliptic plane (|$\perp$|) . | ||||||
---|---|---|---|---|---|---|---|---|---|
Data set . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . |
probability . | of V . | probability . | of V . | probability . | of V . | ||||
WILC 1 yr | 2, 21, 41, 42, 61 | 0.180 | 0.771 | 47, 51 | 0.808 | 0.670 | 27, 29, 52, 54 | 0.353 | 0.870 |
WILC 3 yr | 21, 42, 44, 61 | 0.353 | 0.601 | 51 | 0.954 | 0.254 | 8, 31, 47 | 0.583 | 0.627 |
WILC 5 yr | 21, 42, 44, 61 | 0.353 | 0.371 | 55 | 0.954 | 0.232 | 8, 26, 31, 47 | 0.353 | 0.927 |
WILC 7 yr | 21, 36, 42, 44, 61 | 0.180 | 0.733 | 51 | 0.954 | 0.586 | 8, 10 | 0.808 | 0.752 |
WILC 9 yr | 21, 42, 44, 61 | 0.353 | 0.768 | 57 | 0.954 | 0.797 | 8, 31, 47, 49 | 0.353 | 0.639 |
PR1 ILC | 3, 21, 42, 44, 61 | 0.180 | 0.921 | – | 1 | 0.804 | 18, 47 | 0.808 | 0.863 |
PR2 smica | 2, 21, 36, 42, 44, 61 | 0.079 | 0.595 | 55 | 0.954 | 0.570 | 2, 8, 47 | 0.583 | 0.915 |
PR3 smica | 2, 21, 42, 44, 61 | 0.180 | 0.909 | 35 | 0.954 | 0.570 | 2, 8, 10, 47 | 0.353 | 0.830 |
. | CMB dipole (|$\parallel$|) . | Galactic plane (|$\perp$|) . | Ecliptic plane (|$\perp$|) . | ||||||
---|---|---|---|---|---|---|---|---|---|
Data set . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . | Multipoles, l . | Cumulative . | p-value . |
probability . | of V . | probability . | of V . | probability . | of V . | ||||
WILC 1 yr | 2, 21, 41, 42, 61 | 0.180 | 0.771 | 47, 51 | 0.808 | 0.670 | 27, 29, 52, 54 | 0.353 | 0.870 |
WILC 3 yr | 21, 42, 44, 61 | 0.353 | 0.601 | 51 | 0.954 | 0.254 | 8, 31, 47 | 0.583 | 0.627 |
WILC 5 yr | 21, 42, 44, 61 | 0.353 | 0.371 | 55 | 0.954 | 0.232 | 8, 26, 31, 47 | 0.353 | 0.927 |
WILC 7 yr | 21, 36, 42, 44, 61 | 0.180 | 0.733 | 51 | 0.954 | 0.586 | 8, 10 | 0.808 | 0.752 |
WILC 9 yr | 21, 42, 44, 61 | 0.353 | 0.768 | 57 | 0.954 | 0.797 | 8, 31, 47, 49 | 0.353 | 0.639 |
PR1 ILC | 3, 21, 42, 44, 61 | 0.180 | 0.921 | – | 1 | 0.804 | 18, 47 | 0.808 | 0.863 |
PR2 smica | 2, 21, 36, 42, 44, 61 | 0.079 | 0.595 | 55 | 0.954 | 0.570 | 2, 8, 47 | 0.583 | 0.915 |
PR3 smica | 2, 21, 42, 44, 61 | 0.180 | 0.909 | 35 | 0.954 | 0.570 | 2, 8, 10, 47 | 0.353 | 0.830 |
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