In a study evaluating a new diagnostic test against a gold standard, the area under the ROC curve (AUC) is 0.50. This indicates that the test:
- A Performs no better than chance ✓
- B Has perfect discriminatory ability
- C Has excellent sensitivity but poor specificity
- D Should be interpreted as having acceptable accuracy
Correct answer: A. Performs no better than chance
Explanation
An AUC of 0.50 corresponds to a diagonal ROC curve, indicating the test performs no better than random chance at discriminating diseased from non-diseased individuals. AUC of 1.0 represents perfect discrimination; AUC >0.9 is considered excellent; AUC 0.7-0.9 is acceptable. An AUC of 0.50 means the test has no clinical value.
Reference: Park's Textbook of Preventive and Social Medicine, 27th ed.
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