Stats.Blue

# Wilcoxon Signed Rank Test

• 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: $H_a:M$ $\neq$ $<$ $>$ $M_0$ Level of Significance: $\alpha=$ 0.25 0.20 0.15 0.10 0.05 0.025 0.02 0.01 0.005 0.0025 0.001 0.0005

 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: $p=$