Values of the log-likelihood statistic |$\Pi _S$|, defined in equation (10) based on the null distribution of the power entropy, |$S(l)$|, are listed in second column for various data sets listed in first column. The statistic values mentioned against different data releases were evaluated using the distribution obtained from a corresponding simulation ensemble of 1000 mocks. The p-values of |$\Pi _S$| thus obtained are given in the third column. The likelihood-based p-values are smaller than those of Table 1, which are evaluated with a cut-off of |$p \le 0.05$|. This is evidence that using a hard cut-off on assessing multiple p-values tends to create a bias against detecting a signal.
Data set . | |$\Pi _S$| . | p-value . |
---|---|---|
WILC 1 yr | 75.510 | 0.033 |
WILC 3 yr | 72.779 | 0.067 |
WILC 5 yr | 74.940 | 0.042 |
WILC 7 yr | 78.664 | 0.018 |
WILC 9 yr | 75.603 | 0.028 |
PR1 ILC | 78.824 | 0.013 |
PR2 smica | 74.736 | 0.035 |
PR3 smica | 77.483 | 0.019 |
Data set . | |$\Pi _S$| . | p-value . |
---|---|---|
WILC 1 yr | 75.510 | 0.033 |
WILC 3 yr | 72.779 | 0.067 |
WILC 5 yr | 74.940 | 0.042 |
WILC 7 yr | 78.664 | 0.018 |
WILC 9 yr | 75.603 | 0.028 |
PR1 ILC | 78.824 | 0.013 |
PR2 smica | 74.736 | 0.035 |
PR3 smica | 77.483 | 0.019 |
Values of the log-likelihood statistic |$\Pi _S$|, defined in equation (10) based on the null distribution of the power entropy, |$S(l)$|, are listed in second column for various data sets listed in first column. The statistic values mentioned against different data releases were evaluated using the distribution obtained from a corresponding simulation ensemble of 1000 mocks. The p-values of |$\Pi _S$| thus obtained are given in the third column. The likelihood-based p-values are smaller than those of Table 1, which are evaluated with a cut-off of |$p \le 0.05$|. This is evidence that using a hard cut-off on assessing multiple p-values tends to create a bias against detecting a signal.
Data set . | |$\Pi _S$| . | p-value . |
---|---|---|
WILC 1 yr | 75.510 | 0.033 |
WILC 3 yr | 72.779 | 0.067 |
WILC 5 yr | 74.940 | 0.042 |
WILC 7 yr | 78.664 | 0.018 |
WILC 9 yr | 75.603 | 0.028 |
PR1 ILC | 78.824 | 0.013 |
PR2 smica | 74.736 | 0.035 |
PR3 smica | 77.483 | 0.019 |
Data set . | |$\Pi _S$| . | p-value . |
---|---|---|
WILC 1 yr | 75.510 | 0.033 |
WILC 3 yr | 72.779 | 0.067 |
WILC 5 yr | 74.940 | 0.042 |
WILC 7 yr | 78.664 | 0.018 |
WILC 9 yr | 75.603 | 0.028 |
PR1 ILC | 78.824 | 0.013 |
PR2 smica | 74.736 | 0.035 |
PR3 smica | 77.483 | 0.019 |
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