A ROC-based test for evaluating the group difference with an application to neonatal audiology screening
Larry L Tang1,2, Zhen Meng3, Qizhai Li4,5
1Department of Statistics, National Center for Forensic Science, University of Central Florida, Orlando, Florida.
Statistics in Medicine
|May 29, 2021
Summary
This study introduces a novel statistical method for comparing two samples using Receiver Operating Characteristic (ROC) curve parameters. This powerful approach offers improved diagnostic accuracy, especially for non-normal biomarker data.
Area of Science:
- Biostatistics
- Medical Diagnostics
- Statistical Modeling
Background:
- Accurate comparison of two samples is crucial in medical research and diagnostics.
- Existing methods for sample comparison may lack power, particularly with non-normal biomarker data.
- Receiver Operating Characteristic (ROC) curve analysis is a standard tool for evaluating diagnostic tests.
Purpose of the Study:
- To propose a novel and powerful statistical method for comparing two samples.
- To enhance diagnostic accuracy by utilizing ROC curve model parameters.
- To provide a robust statistical test applicable to non-normal biomarker data.
Main Methods:
- Inference drawn from Receiver Operating Characteristic (ROC) curve model parameters.
- Estimation of ROC parameters using a linear model framework on empirical sensitivities and specificities.
- Development of a comprehensive statistic based on the Cauchy combination.
- Implementation of an efficient one-layer wild permutation procedure for P-value calculation.
Main Results:
- The proposed method provides a more powerful test than existing methods in several situations.
- The Cauchy combination statistic demonstrates effectiveness across all considered scenarios.
- The method is particularly advantageous when underlying continuous biomarker results are non-normal.
- The approach was illustrated using a neonatal audiology diagnostic example.
Conclusions:
- The novel ROC curve parameter-based method offers a powerful and versatile tool for comparing two samples.
- This method enhances statistical power, especially in scenarios with non-normal biomarker distributions.
- The proposed approach, including the Cauchy combination statistic and permutation procedure, provides a robust framework for diagnostic accuracy assessment.


