Using R to simulate permutation distributions for some elementary experimental designs

Abstract

Null distributions of permutation tests for two-sample, paired, and block designs are simulated using the R statistical programming language. For each design and type of data, permutation tests are compared with standard normal-theory and nonparametric tests. These examples (often using real data) provide for classroom discussion use of metrics that are appropriate for the data. Simple programs in R are provided and explained briefly. Suggestions are provide d for use of permutation tests and R in teaching statistics courses for upper-division and first year graduate students. Copyright © 2010 by T. Lynn Eudey, Joshua D. Kerr, and Bruce E. Trumbo all rights reserved.