# Nonparametric Techniques

• ### Joke: Nonparametric Tests

A joke to be used in discussing the Sign test (based on whether an observation is above or below a specific value) and the Wilcoxon test (based on ordering the observations).  The joke was written by Larry Lesser from The University of Texas at El Paso in December 2020.

• ### Joke: In Denial

A pun to start a discussion of the use of a sign test.  The joke was written by Dennis Pearl from Penn State University in 2020.

• ### Ordinal Associations of I × J Contingency Tables

This presentation is a part of a series of lessons on the Analysis of Categorical Data. This lecture covers the following: linear association, correlation coefficient, ridits/modified ridits, nonparametric methods, Cochran-Armitage Trend test,

• ### HyperStat Online: Ch. 17 Distribution-Free Tests

This chapter discusses a collection of tests called distribution-free tests, or nonparametric tests, that do not make any assumptions about the distribution from which the numbers were sampled. The main advantage of distribution-free tests is that they provide more power than traditional tests when the samples are from highly-skewed distributions.

• ### Psychological Statistics

This site offers separate webpages about statistical topics relevant to those studying psychology such as research design, representing data with graphs, hypothesis testing, and many more elementary statistics concepts.  Homework problems are provided for each section.

• ### Practicing Statistics: Guided Investigations for the Second Course

The goal of this text is to provide a broad set of topics and methods that will give students a solid foundation in understanding how to make decisions with data. This text presents workbook-style, project-based material that emphasizes real world applications and conceptual understanding. Each chapter contains:

• An introductory case study focusing on a particular statistical method in order to encourage students to experience data analysis as it is actually practiced.
• guided research project that walks students through the entire process of data analysis, reinforcing statistical thinking and conceptual understanding.
• Optional extended activities that provide more in-depth coverage in diverse contexts and theoretical backgrounds. These sections are particularly useful for more advanced courses that discuss the material in more detail. Some Advanced Lab sections that require a stronger background in mathematics are clearly marked throughout the text.
• Data sets from multiple disciplines and software instructions for Minitab and R.

The text is highly adaptable in that the various chapters/parts can be taken out of order or even skipped to customize the course to your audience. Depending on the level of in-class active learning, group work, and discussion that you prefer in your course, some of this work might occur during class time and some outside of class.

• ### Data Collection: Statistical Datasets from UMASS

"The purpose of this electronic service is to provide access to a collection of datasets suitable for teaching statistics. The datasets are stored either locally or on other computers throughout the world. The datasets have been organized by statistical technique to make it easier for you to find a dataset appropriate for your pedagogical needs. When a dataset is appropriate for several statistical techniques, it will appear under several categories. Each dataset consists of three files: one is a description of the data; the others are an ascii (text) file of the data and an Excel file of the data."
• ### Elementary Statistics with R

This is an e-book tutorial for R. It is organized according to the topics usually taught in an Introductory Statistics course. Topics include: Qualitative Data; Quantitative Data; Numerical Measures; Probability Distributions; Interval Estimation; Hypothesis Testing; Type II Error; Inference about Two Populations; Goodness of Fit; Analysis of Variance; Non-parametric methods; Linear Regression; and Logistic Regression.
• ### Gallery: Reinterpreting Jean Francois Raffaelli

A sketch by Anastasia Mandel reinterpreting Blacksmiths Taking a Drink by Jean Francois Raffaelli (1884) with the statistical caption "Looks like Kolmogorov-Smirnoff testing." This is part of a collection of sketches by Anastasia Mandel and their accompanying statistical captions discussed in the paper "How art helps to understand statistics" (Model Assisted Statistics and Applications, 2009) by Stan Lipovetsky and Igor Mandel in volume 4 pages 313-324. Free to use in classrooms and on course websites.

• ### StatPrimer

This is a collection of notes that covers many topics typically included in introductory and/or intermediate statistics courses. The notes are in PDF format, and each is followed by a set of exercises (with most answers included). The site also includes some tables and a link to a StatTable calculator.