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The analysis of multiple endpoints in clinical trials
S J Pocock1, N L Geller, A A Tsiatis
1Department of Clinical Epidemiology and General Practice, Royal Free Hospital School of Medicine, University of London, United Kingdom.
Biometrics
|September 1, 1987
Summary
This study addresses inflated Type I error rates in clinical trials with multiple endpoints. It explores global test statistics as a superior alternative to Bonferroni correction for correlated data.
Area of Science:
- Biostatistics
- Clinical Trials
- Statistical Inference
Background:
- Randomized clinical trials frequently employ multiple endpoints, increasing the risk of Type I errors with conventional significance testing.
- Selecting a single primary endpoint is not always feasible, necessitating alternative methods for robust statistical inference.
Purpose of the Study:
- To evaluate methods for handling multiple endpoints in clinical trials to control Type I error rates.
- To investigate the conservatism of Bonferroni correction for correlated endpoints.
- To propose and explore a global test statistic for simultaneous inference across various endpoint types.
Main Methods:
- Examined the conservatism of Bonferroni correction under multivariate normal distributions.
- Developed a global test statistic framework applicable to asymptotically normal test statistics.
- Considered quantitative, binary, and survival endpoints within the proposed framework.
Main Results:
- Bonferroni correction can be overly conservative, especially with correlated endpoints.
- The proposed global test statistic offers a unified approach for multiple endpoints.
- The framework accommodates diverse data types, including quantitative, binary, and survival data.
Conclusions:
- Global test statistics provide a more appropriate method for statistical inference with multiple endpoints compared to Bonferroni correction.
- The developed framework offers a flexible and powerful tool for analyzing complex clinical trial data.
- Careful consideration of endpoint multiplicity is crucial for accurate clinical trial interpretation.