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| Topic | Description |
| Rank-Based Tests | Rank-based tests involve comparing the ranks of data rather than specific values to analyze relationships and differences. Examples include the Wilcoxon signed-rank test, Mann-Whitney U test, and Kruskal-Wallis test. |
| Distribution-free tests | Distribution-free tests are used to analyze data without making assumptions about the underlying distribution. Examples include the Sign Test and Runs Test. |
| Sign Test | The Sign Test is a nonparametric test used to analyze paired data or matched samples to determine if the median difference is zero. |
| Runs Test | The Runs Test is a nonparametric test used to analyze sequential or time-ordered data to detect departures from randomness or test for trends. |
| Wilcoxon signed-rank test | The Wilcoxon signed-rank test is a nonparametric test used to determine if the median difference between paired samples is significantly different from zero. |
| Mann-Whitney U test | The Mann-Whitney U test is a nonparametric test used to compare the distributions of two independent samples. |
| Kruskal-Wallis test | The Kruskal-Wallis test is a nonparametric test used to compare the distributions of three or more independent samples. |
| Power and significance level | Power and significance levels are statistical concepts used to evaluate the accuracy and reliability of statistical tests. |
| Nonparametric Regression | Nonparametric regression techniques estimate relationships between variables without assuming a specific functional form. |
| Resampling Methods | Resampling methods, such as bootstrap methods and permutation tests, involve sampling and re-sampling from observed data to make inferences or test hypotheses. |
| Robust Statistics | Robust statistics provide estimators and techniques that are resistant to outliers and violations of assumptions. |
