Nonparametric Statistical Methods

Nonparametric Statistical Methods
Permutation tests, rank-based methods, analysis of contingency tables, bootstrap methods, curve fitting.
STAT
435
 Hours 3.0 Credit, 3.0 Lecture, 0.0 Lab Prerequisites STAT 330; or STAT 511 Taught Winter Programs Containing STAT 435
Course Outcomes

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

Parametric Assumptions and Statistical Inference

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

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