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Table 2 Reanalysis of the Brown et al. HDPS results [34]a

From: Semantic and cognitive tools to aid statistical science: replace confidence and significance by compatibility and surprise

Test Hypothesis (H) P-value (compatibility) S-value (bits of information) Maximum-likelihood ratio Likelihood-ratio statistic
Halving of hazard, HR = 0.5 1.6 × 10− 6 19.3 1.0 × 105 23.1
No association (null), HR = 1 0.0505 4.31 6.77 3.82
Point estimate, HR = 1.61 1.00 0.00 1.00 0.00
Doubling of hazard, HR = 2 0.373 1.42 1.49 0.79
Tripling of hazard, HR = 3 0.01 6.56 26.2 6.53
Quintupling of hazard, HR = 5 3.3 × 10−6 18.2 5.0 × 104 21.7
  1. aComputed from the normal approximations given in the Appendix
  2. P-values, S-values, maximum-likelihood ratios, and likelihood-ratio statistics for several test hypotheses about the hazard ratio (HR) computed from Brown et al. HDPS results [34].