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Table C.1

Detailed overview of null test χ2 PTEs.

χ2 probabilities-to-exceed [%]
Spherically averaged (1D) Cylindrically averaged (2D)
Field 1 Field 2 Field 3 Field 1 Field 2 Field 3
Null variable Fast Slow Fast Slow Fast Slow Fast Slow Fast Slow Fast Slow
ambt. . . . . . . . 57 33 8 13 76 22 77 45 49 26 70 74
wind. . . . . . . . 43 17 46 29 83 40 77 7 45 26 17 87
wint. . . . . . . . 41 49 64 93 17 62 7 24 90 91 47 76
half. . . . . . . . 86 16 21 6 14 43 49 3 87 39 25 68
odde. . . . . . . . 86 48 38 91 38 66 54 14 9 91 95 43
dayn. . . . . . . . 61 87 86 77 29 11 73 7 76 79 3 79
≥
dtmp. . . . . . . . 25 19 38 49 92 99.5(a) 14 27 36 83 27 42
hmty. . . . . . . . 95 52 98 70 51 17 90 41 81 79 29 44
pres. . . . . . . . 52 92 32 23 35 76 9 43 2 99 61 20
wthr. . . . . . . . 69 79 67 37 38 28 37 15 45 62 63 68
sune. . . . . . . . 89 58 95 27 96 28 40 78 79 8 7 42
modi. . . . . . . . 34 46 16 27 72 48 83 51 88 42 90 37
sudi. . . . . . . . 91 55 16 27 97 94 26 24 20 96 44 80
tsys. . . . . . . . 26 42 33 93 17 28 9 88 61 44 54 93
fpoO. . . . . . . . 44 97 11 3 64 62 60 56 62 83 74 52
fpoI. . . . . . . . 39 45 44 73 49 3 62 74 44 89 53 25
apoO. . . . . . . . 50 72 42 92 86 44 60 98 73 27 17 0.6
≥
apoI. . . . . . . . 68 58 87 71 67 25 99.5(a) 18 1 8 76 21
spoO. . . . . . . . 74 17 95 76 24 61 81 38 92 57 97 69
spoI. . . . . . . . 51 9 37 27 70 37 96 58 57 13 11 11
npca. . . . . . . . 89 51 19 80 86 98 92 49 16 45 74 55
pcaa. . . . . . . . 58 30 64 60 97 19 35 67 27 42 32 24
s01f. . . . . . . . 61 42 33 16 44 37 88 3 89 24 60 80
fk1f. . . . . . . . 85 16 1 20 36 49 78 56 1 68 11 17
allf. . . . . . . . 30 14 50 16 83 62 81 48 90 67 49 39
azdr. . . . . . . . 43 42 34 98 93 71 0.6 27 18 20 11 3
KS-test. . . . . 5.5 9.7 16.9 24.1 41.8 48.9 32.1 8.4 61.9 78.7 70.9 72.0

Notes. Null test χ2 PTEs in units percent. All tabulated PTE values, for all three Fields, fast- and slow-moving azimuth scans (denoted as “Fast” and “Slow”), are numerically computed from the RND ensemble. The last row indicates the Kolmogorov-Smirnov (KS) uniformity test PTE. The KS uniformity PTE of the entire table of PTEs is 58.7%.

(a) The χ2-value of this null test was slightly outside the simulated RND χ2-distribution and we hence only have a lower limit of 99.5% on the numerical PTE as the numerical resolution of the simulated distribution is roughly 1/183 ~ 0.5% from the RND ensemble size.

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