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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
Practical Implementation
Computational Considerations
Exact vs. Approximate Methods
Large Sample Approximations
Computational Complexity
Numerical Precision Issues
Software Implementation
R Programming
Base R Functions
Specialized Packages
Custom Implementation
Python Implementation
SciPy Functions
Specialized Libraries
Custom Algorithms
Commercial Software
SPSS Procedures
SAS Procedures
Stata Commands
Diagnostic and Validation Methods
Assumption Checking
Graphical Methods
Formal Tests
Model Validation
Cross-validation
Bootstrap Validation
Sensitivity Analysis
Robustness Assessment
Outlier Influence
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10. Multivariate Non-parametric Methods
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12. Advanced Topics and Extensions