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Table B.1.

Significance of difference for the hemispheres in PR3 dataset.

(a)
Relative homology – χ2 (empirical) – Separate Variance
North South
Res FWHM b0 b1 ECrel b0 b1 ECrel
threshold = 0.90
1024 10’ 0.2400 0.1100 0.1333 0.9667 0.4567 0.4667
512 20’ 0.4333 0.2367 0.2867 1.0000 0.8567 0.9667
256 40’ 0.0367 0.3267 0.2733 0.0900 0.6767 0.2467
128 80’ 0.0000 0.0467 0.0133 0.6533 0.6233 0.8467
64 160’ 0.0633 0.0700 0.2333 0.2867 0.2600 0.5067
32 320’ 0.1567 0.2467 0.3433 0.8533 0.2467 0.4600
16 640’ 0.8167 0.5400 0.6933 0.8733 0.0233 0.0367
summary N/A 0.0100 0.0867 0.0000 0.5433 0.3967 0.0133
(b)
Relative homology – χ2 (empirical) – Global Variance
North South
Res FWHM b0 b1 ECrel b0 b1 ECrel
threshold = 0.90
1024 10’ 0.3400 0.1400 0.3100 0.3600 0.1767 0.2333
512 20’ 0.4433 0.3233 0.5467 0.2033 0.1533 0.1767
256 40’ 0.2067 0.2167 0.5433 0.3333 0.0833 0.2567
128 80’ 0.0167 0.3033 0.0867 0.2833 0.0733 0.1867
64 160’ 0.2500 0.3033 0.3000 0.5733 0.0933 0.5100
32 320’ 0.1500 0.5467 0.5633 0.5067 0.0033 0.0033
16 640’ 0.6400 0.7167 0.6500 0.3733 0.0000 0.0000
summary N/A 0.2200 0.4500 0.4133 0.0667 0.0000 0.0000

Notes. Two-tailed p values for relative homology obtained from the empirical Mahalanobis distance or χ2 test, computed from the sample covariance matrices, for different resolutions and smoothing scales for the PR3 dataset. Panel (a) presents the p values for experiments where the variance is computed for each hemisphere separately, and panel (b) presents results for experiments where the hemispheres are assigned the variance of full sky. The last entry is the p value for the summary statistic computed across all resolutions. Marked in boldface are p values 0.05 or smaller.

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