STAT 435

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Nonparametric Statistical Methods

Statistics College of Computational, Mathematical, & Physical Sciences

Course Description

Permutation tests, rank-based methods, analysis of contingency tables, bootstrap methods, curve fitting.

When Taught

Fall

Min

3

Fixed

3

Fixed

3

Fixed

0

Title

Bootstrap Confidence Intervals

Learning Outcome

Formulate and compute bootstrap (resampling) confidence intervals

Title

Contingency Tables

Learning Outcome

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

Title

Examples of Trade-Off

Learning Outcome

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

Title

Parametric Assumptions and Statistical Inference

Learning Outcome

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

Title

Compute Rank-Based Methods

Learning Outcome

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

Title

Generalized Additive Models

Learning Outcome

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

Title

Permutation Tests

Learning Outcome

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

Title

Rank-Based Methods

Learning Outcome

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