Non-parametric Methods
Test Setup and Assumptions
Ranking Procedure
Test Statistic Construction
Exact Distribution
Normal Approximation
Confidence Interval for Location Difference
Handling Tied Observations
Relationship to Wilcoxon Test
U Statistic Construction
Equivalence of Test Statistics
Critical Values
p-value Calculation
One-sided vs. Two-sided Tests
Test Setup Using Contingency Table
Chi-square Approximation
Limitations and Alternatives
Test for Identical Distributions
Exact p-value Calculation
Application to Paired Differences
Confidence Interval Construction
Test for Paired Proportions
Test Setup Using 2×2 Table
Continuity Correction
Exact Test for Small Samples
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3. One-Sample Tests
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5. Multiple Sample Tests