Chapter 15. The Binomial Test

  • 15.1 Introduction 283

  • 15.2 Synopsis 283

  • 15.3 Examples 285

  • 15.4 Details & Notes 289

15.1 Introduction

The binomial test is used to make inferences about a proportion or response rate based on a series of independent observations, each resulting in one of two possible mutually exclusive outcomes. The outcomes can be: response to treatment or no response, cure or no cure, survival or death, or in general, event or non-event. These observations are 'binomial' outcomes if the chance of observing the event of interest is the same for each observation.

In clinical trials, a common use of the binomial test is for estimating a response rate, p, using the number of patients (X) who respond to an investigative treatment out of a total ...

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