# Nonparametric Statistical Methods

Hours | 3.0 Credit, 3.0 Lecture, 0.0 Lab |

Prerequisites | STAT 330; or STAT 511 |

Taught | Fall |

Programs | Containing STAT 435 |

### Examples of Trade-Off

Explain and provide examples of the trade-off between parametric assumptions and efficiency of statistical inference

### Rank-Based Methods

Compute the following rank-based methods: Wilcoxon Rank-Sum test, Mann-Whitney test, Signed-Rank test, Kruskal-Wallis test, and Spearman Rank Correlation

### Parametric Assumptions and Statistical Inference

Explain and provide examples of the trade-off between parametric assumptions and efficiency of statistical inference

### Compute Rank-Based Methods

Compute the following rank-based methods: Wilcoxon Rank-Sum test, Mann-Whitney test, Signed-Rank test, Kruskal-Wallis test, Spearman Rank Correlation

### Permutation Tests

Formulate and compute permutation tests for 2-sample, K-sample, and contingency tables

### Contingency Tables

Compute the following tests for contingency tables: Fisher's exact test, Mantel-Haenszel test, McNemar's test

### Bootstrap Confidence Intervals

Formulate and compute bootstrap (resampling) confidence intervals

### Generalized Additive Models

Compute generalized additive models (GAM) with splines or smoothers for possible nonlinear effects in R