Chapter 2

Basic Statistics

2.1 Introduction

In this chapter we present some basic nonparametric statistical procedures and show their computation in R. We begin with a brief example involving the distribution-free sign test. Then for the one-sample problem for continuous data, we present the signed-rank Wilcoxon nonparametric procedure and review the parametric t procedure. Next, we discuss inference based on bootstrapping (resampling). In the second part of the chapter, we turn our attention to discrete data. We discuss inference for the binomial probability models of the one- and two-sample problems, which we then generalize to the common goodness-of-fit χ2-tests including the usual tests of homogeneity of distributions and independence for ...

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