Table 2 Results of the statistical tests comparing b-values and magnitude distributions for positive and negative Coulomb-stress changes, using different slip models and \(\mu {\prime} =0.4\) (same data as previous table). Columns 2 to 4: testing the null hypothesis that there is no difference between the b-values (i.e., b> = b<). Both asymptotic normality of the z statistic and a permutation test are used for the calculation of the p-value (labeled as pnorm and pperm, respectively). In the latter case the number of permutations is 104, and the uncertainty of pperm corresponds to one standard deviation. Columns 5 to 6: testing the null hypothesis that there is no difference in the distributions, using the 2-sample Kolmogorov-Smirnov test. d2ks and p2ks are the 2-sample Kolmogorov-Smirnov statistic and its p-value. Values of ΔAIC = AIC2 − AIC1 are also included in the last column.

From: No Significant Effect of Coulomb Stress on the Gutenberg-Richter Law after the Landers Earthquake

Slip model

z

pnorm

pperm

d2ks

p2ks

ΔAIC

wald

1.396

0.163

0.156 ± 0.004

0.139

0.311

0.234

hernandez

0.511

0.609

0.596 ± 0.005

0.095

0.690

1.748

bbcal

0.254

0.800

0.828 ± 0.004

0.063

0.952

1.936

surfrup

 − 0.010

0.992

0.994 ± 0.001

0.094

0.643

1.999