Expected Value Adjustment To Variance For Ties Sets of ties between all included observations Tied differences U-prime U- Negative Ranks Positive Ranks Mean Rank Rank Totals Cases Ties Between Groups Tied Values Between Samples Number of Inverted Pairs Sum Of Ranks With Positive Sign Observations Friedman Test Kruskal - Wallis Test Mann-Whitney U Wicoxon Signed Rank Paired Sign Test One Sample Sign Test Estimated Probabilities Exact Probabilities Ties Omitted Ties Included Ties Median Specify Median Specify Variance Specify Sigma Mean of Paired Differences Difference Between Means Variance Individual Variances Hide Results Show Results Upper Bound Lower Bound (bottom) (top) Ratio df Degrees of Freedom w/ With Reject Ho at Fail to reject Ho at Statistic Mean Sample 0.0 Other… 99.9% 99% 95% 90% % Percent Probability 0.001 0.01 0.05 0.10 Level Confidence and 2 1 0 Bounds: One or more mean is different. Ha: vs All means are equal. Ho: Alpha Individual Total Bonferoni Sigma Chi-square Separate Variances Scheffé F- Multiple µ’s Paired 2-Sample Pooled µ^0-µ^1 µ t- z- Individual µ’s Variance for of Click to Select ^0 Type Estimation Interval Test Hypothesis