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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
Non-parametric Regression and Smoothing
Rank-Based Regression
Regression on Ranks
Rank Transformation
Linear Model Fitting
Interpretation of Results
Theil-Sen Estimator
Median of Pairwise Slopes
Calculation Procedure
Robustness Properties
Confidence Intervals
Local Smoothing Methods
Locally Weighted Regression
LOESS Method
LOWESS Method
Weight Function Selection
Bandwidth Selection
Robust Fitting Options
Kernel Regression
Nadaraya-Watson Estimator
Kernel Function Types
Gaussian Kernel
Epanechnikov Kernel
Uniform Kernel
Bandwidth Selection Methods
Cross-validation
Plug-in Methods
Spline Smoothing
Smoothing Splines
Regression Splines
Knot Selection
Smoothing Parameter Selection
Density Estimation
Histogram Methods
Bin Width Selection
Sturges' Rule
Scott's Rule
Freedman-Diaconis Rule
Kernel Density Estimation
Kernel Function Selection
Bandwidth Selection
Boundary Correction Methods
Multivariate Extensions
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6. Measures of Association
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8. Advanced Resampling Methods