These are the notes I took for a Master's course

**Nonparametric Methods**. The recommended textbook is*Applied Nonparametric Statistical Methods, Fourth Edition*by Sprent, P. and Smeeton, N.C. (2007).Basic Concepts

A brief introduction to what we're going to discuss in later chapters.

Jan 25, 2019

Statistics

Visualization

Fundamentals of Nonparametric Methods

Some basic tools such as the permutation test and the binomial test. We also introduce order statistics and ranks, which will come in handy in later chapters.

Feb 1, 2019

Statistics

Permutation

p-value

Location Inference for Single Samples

The Wilcoxin signed rank test explained.

Mar 26, 2019

Statistics

R

Wilcoxon

Asymptotic

Other Single Sample Inferences

Explore whether the sample is consistent with a specified distribution at the population level. Kolmogorov's test, Lilliefors test and Shapiro-Wilk test are introduced, as well as tests for runs or trends.

Apr 26, 2019

Statistics

Visualization

R

Distribution

Asymptotic

Methods for Paired Samples

An obvious extension of the one-sample procedures. We discuss applying the Wilcoxon signed rank test on paired samples. We also introduce the McNemar’s test, which is more or less the same as a sign test.

Apr 29, 2019

Statistics

Wilcoxon

Asymptotic

Two Independent Samples

With two independent samples, we may ask about the centrality of the population distribution and see if there's a shift. Wilcoxon-Mann-Whitney is here!

May 2, 2019

Statistics

Visualization

R

Wilcoxon

Asymptotic

Basic Tests for Three or More Samples

Nonparametric analogues of the one-way classification ANOVA and the simplest two-way classifications, namely the Kruskal-Wallis test, the Jonckheere-Terpstra test, and the Friedman test.

May 4, 2019

Statistics

Visualization

R

Wilcoxon

Asymptotic

Correlation and Concordance

Measures for the strength of relationships between variables (two or more). The Spearman rank correlation coefficient, Kendall's tau and Kendall's W are introduced.

May 5, 2019

Statistics

Categorical Data

Dealing with contingency tables. Fisher's exact test comes back, together with Chi-squared test and likelihood-ratio test. We also talk about testing goodness-of-fit.

May 6, 2019

Statistics

Bootstrap

The procedure and applications of the nonparametric bootstrap. We also discuss the Jackknife estimator.

May 13, 2019

Statistics

R

Distribution

Regression

Density Estimation

Wanna know more about histograms and density plots?

May 17, 2019

Statistics

Visualization

R

Distribution

Modern Nonparametric Regression

LOWESS, penalized least squares and the cubic spline.

May 20, 2019

Statistics

Visualization

R

Regression