Chapter 21. The Log-Rank Test

  • 21.1 Introduction 397

  • 21.2 Synopsis 398

  • 21.3 Examples 399

  • 21.4 Details & Notes 408

21.1 Introduction

The log-rank test is a statistical method for comparing distributions of time until the occurrence of an event of interest among independent groups. The event is often death due to disease, but event might be any binomial outcome, such as cure, response, relapse, or failure. The elapsed time from initial treatment or observation until the event is the event time, often referred to as 'survival time', even when the event is not 'death'.

The log-rank test provides a method for comparing 'risk-adjusted' event rates. This is useful when patients in a clinical study are subject to varying degrees of opportunity to experience ...

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