Chapter 2

The Dichotomous Data Problem

Introduction

In this chapter the primary focus is on the dichotomous data problem. The data consists of c02-math-0001 independent repeated Bernoulli trials having constant probability of success c02-math-0002. On the basis of these outcomes, we wish to make inferences about c02-math-0003. Section 2.1 introduces the binomial distribution and presents a binomial test for the hypothesis c02-math-0004, where c02-math-0005 is a specified success probability. Section 2.2 gives a point estimator c02-math-0006 for c02-math-0007. Section 2.3 presents confidence intervals for c02-math-0008. 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 ...

Get Nonparametric Statistical Methods, 3rd Edition now with the O’Reilly learning platform.

O’Reilly members experience live online training, plus books, videos, and digital content from nearly 200 publishers.