Nonparametric Statistical Methods, 3rd Edition

Chapter 2

The Dichotomous Data Problem

Introduction

In this chapter the primary focus is on the dichotomous data problem. The data consists of independent repeated Bernoulli trials having constant probability of success . On the basis of these outcomes, we wish to make inferences about . Section 2.1 introduces the binomial distribution and presents a binomial test for the hypothesis , where is a specified success probability. Section 2.2 gives a point estimator for . Section 2.3 presents confidence intervals for . Section 2.3 also contains the generalization of the binomial distribution to the multinomial distribution, confidence intervals for multinomial probabilities and a test that the multinomial ...