COMPOSITE
ENDPOINTS
Course MaterialsReferences

Theory, Methods & Applications

Statistical Methods for Composite Endpoints

Win Ratio and Beyond

How do we combine survival and nonfatal events into a meaningful measure of treatment effect? Explore the statistical ideas, estimands, and methods behind composite endpoints.

Lu Mao, PhDUniversity of Wisconsin–Madison

From the Course to the Book

These materials grew out of a short course taught at the 2024 Annual Meeting of the Society for Clinical Trials (SCT). The five chapters form the starting structure for this book, connecting statistical theory with applications in R.

A Pairwise Comparison

What counts as a win?

Compare survival first, then time to first hospitalization. Move the time horizon to see the comparison change.

Two illustrative patient historiesTop row, treatment: hospitalized at year 1.2, alive through year 4. Bottom row, control: hospitalized at year 2.5, dies at year 3.4. Complete outcome histories are assumed.
Years
HospitalizationDeathTime horizon
Control wins · Treatment losesDeciding component: hospitalizationBoth patients are alive; control has the later first hospitalization.

Illustrative pair, not trial data. Complete histories assumed.
Adapted from the time-horizon question in Chapter 1.

The Chapters

01

Introduction

From patients' event histories to clinically interpretable treatment comparisons.

Clinical questions · HF-ACTION · Traditional composites · Hierarchical comparisons
02

Hypothesis Testing

Win ratio statistics, recurrent events, and the design of adequately powered trials.

Win ratio test · Recurrent events · Sample size
03

Nonparametric Estimation

Define treatment effects through restricted win ratios, average win time, and while-alive loss.

Restricted win ratio · RMT-IF · While-alive estimands
04

Semiparametric Regression

Regression methods for relating composite outcomes to treatment and other covariates.

Regression models · Model diagnostics · Regularization
05

Discussions

Connect the methods and examine questions in adjustment, monitoring, and evidence synthesis.

Covariate adjustment · Interim analysis · Meta Analysis