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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
8.
Advanced Resampling Methods
8.1.
Bootstrap Methods
8.1.1.
Non-parametric Bootstrap
8.1.1.1.
Bootstrap Principle
8.1.1.2.
Bootstrap Samples
8.1.1.3.
Bootstrap Distribution
8.1.2.
Bootstrap Confidence Intervals
8.1.2.1.
Percentile Method
8.1.2.2.
Bias-Corrected Method
8.1.2.3.
Accelerated Method
8.1.2.4.
Bootstrap-t Method
8.1.3.
Bootstrap Hypothesis Testing
8.1.3.1.
Bootstrap p-values
8.1.3.2.
Permutation Bootstrap
8.1.4.
Parametric Bootstrap
8.1.4.1.
Model-Based Resampling
8.2.
Jackknife Methods
8.2.1.
Leave-One-Out Jackknife
8.2.1.1.
Bias Estimation
8.2.1.2.
Variance Estimation
8.2.2.
Delete-d Jackknife
8.2.2.1.
Generalized Procedure
8.3.
Permutation Tests
8.3.1.
Exact Permutation Tests
8.3.1.1.
Permutation Principle
8.3.1.2.
Exact p-value Calculation
8.3.1.3.
Computational Considerations
8.3.2.
Approximate Permutation Tests
8.3.2.1.
Monte Carlo Approximation
8.3.2.2.
Random Sampling of Permutations
8.3.3.
Applications to Regression
8.3.3.1.
Permutation F-tests
8.3.3.2.
Permutation t-tests
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7. Non-parametric Regression and Smoothing
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9. Survival Analysis Methods