# Nonparametric Techniques

• ### Mann-Whitney Test

This tutorial on the Mann-Whitney test includes its definition, assumptions, characteristics, and hypotheses as well as procedures for graphical comparisons. An example using output from the WINKS software is given, but those without the software can still use the tutorial. An exercise is given at the end that can be done with any statistical software package.
• ### The Sign Test

This tutorial explains the theory and use of the Sign Test and demonstrates it with an example on intervention methods. Data is given as well as SPSS and Minitab code.
• ### Wilcoxon Matched-Pairs Signed Ranks Test

This tutorial explains the theory and use of the Wilcoxon Matched-Pairs Ranks test and demonstrates it with an example on project quality. Data is given as well as SPSS and Minitab code.
• ### Mann-Whitney U-Test

This tutorial explains the theory and use of the Mann-Whitney test and demonstrates it with an example on traditional lecture versus computer-based teaching. Data is given as well as SPSS and Minitab code.
• ### Kruskal-Wallis H-Test for Oneway ANOVA by Ranks

This tutorial explains the theory and use of the Kruskal-Wallis test and demonstrates it with an example on exam scores, homework scores, and project scores. Data is given as well as SPSS and Minitab code.
• ### Friedman Two Way Analysis of Variance by Ranks

This tutorial explains the theory and use of the Friedman Two Way ANOVA and demonstrates it with an example on exam scores, homework scores, and project scores. Data is given as well as SPSS and Minitab code.
• ### Spearman's Rank-Difference Coefficient of Correlation

This tutorial explains the theory and use of the Spearman's Rank-Difference Correlation Coefficient and demonstrates it with an example on exam scores, homework scores, and project scores. Data is given as well as SPSS and Minitab code.
• ### Introduction to Radial Basis Function Networks

This article introduces Radial Basis Function (RBF) networks. These networks rely heavily on regression analysis techniques. Topics include Nonparametric Regression, Classification and Time Series Prediction, Linear Models, Least Squares, Model Selection Criteria, Ridge Regression, and Forward Selection.
• ### Introduction to Descriptive Statistics

This tutorial introduces mean, median, mode, variance, and standard deviation using sports statistics from the Internet and class-generated statistics. Students should understand stem-and-leaf plots before using this tutorial. This material is intended for class use. Excel spreadsheets with sample data are also available for download. The relation links to a letter for teachers.
• ### Wilcoxon Rank-Sum Table

This table shows the critical values values of the Wilcoxon-Mann-Whitney statistics (Us) for various sample sizes (N1 and N2) and p-values (p).