Nonparametric Statistical Methods, 3rd Edition

Chapter 10

Comparing Two Success Probabilities

Introduction

In Chapter 2, we described inferential procedures for a single success probability. These procedures are based on the proportion of successes observed in independent Bernoulli trials. Recall that each observation could be classified a success or failure (depending on whether or not a specified attribute was present). In this chapter, the object is to compare two unknown success probabilities, , on the basis of the corresponding rates of success in independent samples.

Section 10.1 describes approximate tests and confidence intervals for . The tests and confidence intervals are based on the large-sample approximations. Section 10.2 presents Fisher's exact (conditional) test. In Section 10.3, we introduce the odds ratio and present inferential procedures (tests, estimators, and confidence intervals) for the odds ratio. Section 10.4 describes tests, estimators, and confidence intervals for analyzing strata of tables. Section 10.5 ...