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How accurately can quantitative imaging methods be ranked without ground truth: An upper bound on no-gold-standard
Arxiv
|April 8, 2024
Summary
Evaluating quantitative imaging (QI) methods without gold standards is challenging. This study introduces a Cramer-Rao bound framework to quantify the accuracy limits of ranking QI methods using no-gold-standard evaluation techniques.
Area of Science:
- Medical Imaging
- Statistical Evaluation
- Quantitative Imaging
Background:
- Objective evaluation of quantitative imaging (QI) methods is crucial but often limited by the absence of gold standards.
- No-gold-standard evaluation (NGSE) techniques have emerged to rank QI methods without ground truth data.
- The accuracy achievable in ranking QI methods using NGSE remains an open question.
Approach:
- A Cramer-Rao bound (CRB)-based framework is proposed to establish an upper bound on the accuracy of ranking QI methods without ground truth.
- This framework is applied to guide the utilization of the regression-without-truth (RWT) NGSE technique.
- The framework's utility is demonstrated by quantifying the performance of the RWT technique across varying patient cohort sizes.
Key Points:
- The proposed CRB-based framework provides a theoretical upper limit for ranking QI methods when ground truth is unavailable.
- The framework effectively quantifies the performance of NGSE techniques, such as RWT.
- Performance quantification is shown to be dependent on the number of patients included in the evaluation.
Conclusions:
- The CRB-based framework offers a method to understand the inherent limitations in ranking QI methods without gold standards.
- This approach aids in optimizing the application of NGSE techniques by providing performance benchmarks.
- The findings encourage further exploration of this framework for diverse applications in medical imaging evaluation.

