Abstract
Receiver Operating Characteristic (ROC) Curve is used for assessing the ability of a biomarker/screening test to discriminate between non-diseased and diseased subject. In this paper, the parametric ROC curve is studied by assuming two-parameter exponential distribution to the biomarker values. The ROC model developed under this assumption is called bi-exponential ROC (EROC) model. Here, the research interest is to know how far the biomarker will make a distinction between diseased and non-diseased subjects when the gold standard is available using parametric EROC curve and its Area Under the EROC Curve ( AUC ) . Here, the standard error is used as an estimate of the precision of the accuracy measure AUC. The properties of EROC curve that explains the behavior of the EROC curve are also discussed. The AUC along with its asymptotic variance and confidence interval are derived.
Highlights
Diagnostic AccuracyA subject is categorized into either non-diseased or diseased group (a binary classification) by using some clinical measurement based on the selected cut-off t
1.1 Diagnostic AccuracyIn a medical diagnosis, a subject is categorized into either non-diseased or diseased group by using some clinical measurement based on the selected cut-off t
The purpose of evaluating the potentiality of a biomarker in diagnosing a disease is to filter out the patients as those belonging to „high risk‟ and „no risk‟ for disease during the initial stage of medical diagnosis/screening process, because it is not necessary for all the in-patient to undergo a gold standard test as it proves to be a costly, time consuming process and invasive
Summary
A subject is categorized into either non-diseased or diseased group (a binary classification) by using some clinical measurement based on the selected cut-off t. The clinical measurements are often called as test results or test scores or Biomarker. The accuracy of a biomarker is defined as “its ability to distinguish the diseased group from non-diseased group”. The purpose of evaluating the potentiality of a biomarker in diagnosing a disease is to filter out the patients as those belonging to „high risk‟ and „no risk‟ for disease during the initial stage of medical diagnosis/screening process, because it is not necessary for all the in-patient to undergo a gold standard test (e.g. endoscopy) as it proves to be a costly, time consuming process and invasive
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