Exact tests using two correlated binomial variables in contemporary cancer clinical trials
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Updated: Jun 17, 2026

An R-Based Landscape Validation of a Competing Risk Model
Published on: September 16, 2022
Jihnhee Yu1, James L Kepner, Renuka Iyer
1Department of Biostatistics, University at Buffalo, State University of New York, Buffalo, NY, USA. jinheeyu@buffalo.edu
Abstract:
New therapy strategies for the treatment of cancer are rapidly emerging because of recent technology advances in genetics and molecular biology. Although newer targeted therapies can improve survival without measurable changes in tumor size, clinical trial conduct has remained nearly unchanged. When potentially efficacious therapies are tested, current clinical trial design and analysis methods may not be suitable for detecting therapeutic effects. We propose an exact method with respect to testing cytostatic cancer treatment using correlated bivariate binomial random variables to simultaneously assess two primary outcomes. The method is easy to implement. It does not increase the sample size over that of the univariate exact test and in most cases reduces the sample size required. Sample size calculations are provided for selected designs.
Insights
New cancer therapies require updated clinical trial methods. This study introduces an exact statistical test for cytostatic cancer treatments, improving efficiency and potentially reducing sample size requirements.
Area of Science:
- Oncology
- Biostatistics
- Genetics
Background:
- Advances in cancer genetics and molecular biology are driving the development of novel targeted therapies.
- Current clinical trial designs may be inadequate for evaluating newer cancer treatments that improve survival without significant tumor shrinkage.
- There is a need for improved statistical methods to accurately assess the efficacy of cytostatic cancer therapies.
Purpose of the Study:
- To propose an exact statistical method for testing cytostatic cancer treatments.
- To simultaneously assess two primary outcomes using correlated bivariate binomial random variables.
- To provide a more suitable analysis method for emerging cancer therapies.
Main Methods:
- Development of an exact statistical test for cytostatic cancer treatment efficacy.
- Utilizing correlated bivariate binomial random variables for simultaneous assessment of two outcomes.
- Providing sample size calculations for specific study designs.
Main Results:
- The proposed method is easy to implement in clinical trial analysis.
- The method does not increase sample size compared to univariate exact tests.
- In many cases, the proposed method reduces the required sample size.
Conclusions:
- The developed exact method offers a more efficient approach to testing cytostatic cancer treatments.
- This statistical advancement can better detect therapeutic effects of novel cancer therapies.
- The method supports improved clinical trial design and analysis for emerging oncology treatments.
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