Related Experiment Video
Updated: Jun 4, 2025

Establishing a Competing Risk Regression Nomogram Model for Survival Data
Published on: October 23, 2020
Oncology Clinical Trial Design Planning Based on a Multistate Model That Jointly Models Progression-Free and Overall
Alexandra Erdmann1, Jan Beyersmann1, Kaspar Rufibach2
1Institute of Statistics, Ulm University, Ulm, Germany.
Standard oncology clinical trial planning often uses simplifying assumptions for overall survival (OS) and progression-free survival (PFS). This study demonstrates a survival multistate model for jointly analyzing OS and PFS, revealing these assumptions often fail and can lead to underpowered trials.
Area of Science:
- Biostatistics
- Clinical Trial Design
- Oncology Research
Background:
- Traditional oncology clinical trial planning often assumes proportional hazards and exponential distributions for time-to-event endpoints like overall survival (OS) and progression-free survival (PFS).
- These simplifying assumptions may not accurately reflect the complex relationship between multiple dependent endpoints in clinical trials.
Purpose of the Study:
- To introduce and apply a survival multistate model for jointly analyzing OS and PFS in oncology clinical trials.
- To demonstrate how this model can improve the planning and design of clinical trials by accounting for endpoint dependencies and non-proportional hazards.
Main Methods:
- Utilized a survival multistate model, a stochastic process approach, to jointly model the dependency between OS and PFS.
- Employed simulation studies based on the multistate model to address clinical trial design questions, including coprimary endpoints and group-sequential designs.
- Developed an R package available on CRAN for implementing the proposed methodology.
Main Results:
- Found that neither exponential distribution nor proportional hazards typically hold simultaneously for both OS and PFS when modeled jointly.
- Demonstrated that non-proportional hazards for at least one endpoint are a natural consequence of the dependency between OS and PFS.
- Simulation results indicated that standard simplifying approaches can lead to underpowered or overpowered clinical trials.
Conclusions:
- The survival multistate model offers a more robust framework for jointly modeling dependent endpoints like OS and PFS in oncology trials.
- This approach allows for more accurate clinical trial design and planning by naturally incorporating endpoint dependencies and non-proportional hazards.
- The methodology is generalizable to more complex trial designs, additional endpoints, and other therapeutic areas.
Related Concept Videos
Cancer Survival Analysis
Kaplan-Meier Approach
Comparing the Survival Analysis of Two or More Groups
Assumptions of Survival Analysis
Actuarial Approach
Consider the example of a high-risk surgical procedure with significant early-stage mortality. A two-year clinical study is conducted,...
Introduction To Survival Analysis
The primary goal of survival analysis is to estimate survival time—the time...

