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Empirical receiver operating characteristic curve for two-sample comparison with cure fractions
1School of Mathematics and Statistics, Zhejiang University of Finance and Economics, Hangzhou, Zhejiang Province, China.
Lifetime Data Analysis
|March 12, 2010
Summary
This study introduces a new statistical test to compare survival times in cancer patients, focusing on the effectiveness of treatments for non-cured individuals. The method accurately detects differences in treatment effects, regardless of cure rates.
Area of Science:
- Biostatistics
- Survival Analysis
- Cancer Research
Background:
- Comparing survival times in the presence of
- cured patients
- is a significant challenge, especially in cancer research.
Purpose of the Study:
- To develop a statistical test for comparing two samples with cured patients, focusing on non-cured survival times.
- To address heterogeneous treatment effects and differences in cure fractions.
Main Methods:
- Utilizing semi-parametric transformation models.
- Employing empirical and quantile processes for strong approximations.
- Constructing a two-sample test using general least squares estimators.
Main Results:
- Simulation results indicate the proposed test performs well.
- The method effectively compares survival data with cured patients.
Conclusions:
- The developed statistical test provides a robust method for analyzing survival data in the presence of cured patients.
- It is particularly useful for evaluating treatment efficacy in non-cured populations.
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