H0 | H1 | Test | P value | decision |
---|---|---|---|---|
\(\left|{\Delta CS}_{o}\right|=\left|{\Delta CS}_{n}\right|\) | \(\left|\Delta {CS}_{o}\right|>\left|{\Delta CS}_{n}\right|\) | Wilcoxon rank-sum test | .046 | H0 rejected |
\(\left|{\Delta z}_{o}\right|=\left|{\Delta z}_{n}\right|\) | \(\left|{\Delta z}_{o}\right|>\left|{\Delta z}_{n}\right|\) | Wilcoxon rank-sum test | .029 | H0 rejected |
\(\left|{\Delta \alpha }_{o}\right|=\Delta \left|{\alpha }_{n}\right|\) | \(\left|{\Delta \alpha }_{o}\right|>\left|{\Delta \alpha }_{n}\right|\) | Wilcoxon rank-sum test |  < .001 | H0 rejected |
\({\Delta CS}_{o}=0\) | \({\Delta CS}_{o}\ne 0\) | One-sample t test | .167 | H0 accepted |
\({\Delta z}_{o}=0\) | \({\Delta z}_{o}\ne 0\) | One-sample t test | .025 | H0 rejected |
\({\Delta \alpha }_{o}=0\) | \({\Delta \alpha }_{o}\ne 0\) | One-sample t test | .017 | H0 rejected |