- The Wilcoxon Signed Rank Test assumes that our sample is an SRS and will give trustworthy conclusions only if this condition is met.
- The Wilcoxon Signed Rank Test assumes that your data come from a continuous distribution.
- The Wilcoxon Signed Rank Sum Test is an alternative to the one-sample $t$-test when the guidelines for its use are not met (such as when the data is strongly skewed or has outliers).
| Data | |
| Sample data goes here (enter numbers in columns): | |
| Null Hypothesis: | $H_0: M=M_0=$ |
| Alternative Hypothesis: | $H_a:M$ $M_0$ |
| Level of Significance: | $\alpha=$ |
| Sample Size: | $n=$ | |
| Sample Median: | $M=$ | |
| $W^{+}$ statistic: | $W^{+}=$ | |
| Mean of $W^{+}$ under $H_0$: | $\mu_{W^{+}}=$ | |
| Standard Deviation of $W^{+}$ under $H_0$ (with tie correction): | $\sigma_{W^{+}}=$ | |
| $z$ Value for Test (with continuity correction): | $z=$ | |
| Critical $z$ Value: | $z^{*}=$ | |
| $p$-value: | $p=$ |