An AUC of 0.5 on an ROC curve indicates what level of diagnostic ability?

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Multiple Choice

An AUC of 0.5 on an ROC curve indicates what level of diagnostic ability?

Explanation:
At the heart of this is how the AUC reflects discrimination. The area under the ROC curve represents the probability that a randomly chosen diseased individual is ranked higher by the test than a randomly chosen non-diseased individual. An AUC of 0.5 means this ranking is no better than flipping a coin; the test cannot distinguish between cases and controls at any threshold. In other words, it has no diagnostic ability. Higher values indicate real discrimination (1.0 is perfect; around 0.7–0.8 is moderate to good; near 0.9+ is very good). So an AUC of 0.5 corresponds to no discrimination (random chance).

At the heart of this is how the AUC reflects discrimination. The area under the ROC curve represents the probability that a randomly chosen diseased individual is ranked higher by the test than a randomly chosen non-diseased individual. An AUC of 0.5 means this ranking is no better than flipping a coin; the test cannot distinguish between cases and controls at any threshold. In other words, it has no diagnostic ability. Higher values indicate real discrimination (1.0 is perfect; around 0.7–0.8 is moderate to good; near 0.9+ is very good). So an AUC of 0.5 corresponds to no discrimination (random chance).

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