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Statistics
Non-parametric Methods
1. Introduction to Non-parametric Statistics
2. Fundamental Concepts and Tools
3. One-Sample Tests
4. Two-Sample Tests
5. Multiple Sample Tests
6. Measures of Association
7. Non-parametric Regression and Smoothing
8. Advanced Resampling Methods
9. Survival Analysis Methods
10. Multivariate Non-parametric Methods
11. Practical Implementation
12. Advanced Topics and Extensions
Multiple Sample Tests
Independent Samples
Kruskal-Wallis Test
Test Setup and Assumptions
Ranking Procedure
Test Statistic Construction
Chi-square Approximation
Handling Tied Observations
Post-hoc Multiple Comparisons
Dunn's Test
Conover-Iman Test
Bonferroni Adjustment
False Discovery Rate Control
Jonckheere-Terpstra Test
Test for Ordered Alternatives
Test Setup and Assumptions
Test Statistic Construction
Normal Approximation
Median Test for k Samples
Extension to Multiple Groups
Chi-square Test Construction
Related Samples
Friedman Test
Test Setup and Assumptions
Ranking Within Blocks
Test Statistic Construction
Chi-square Approximation
Post-hoc Comparisons
Nemenyi Test
Conover's Test
Critical Difference Method
Cochran's Q Test
Test for k Related Proportions
Test Setup and Assumptions
Test Statistic Construction
Chi-square Approximation
Page's Test for Ordered Alternatives
Test Setup for Ordered Treatments
Test Statistic Construction
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4. Two-Sample Tests
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6. Measures of Association