In many publications, researchers compare measures using a screening procedure between extreme conditions of interests (those highly affected vs. healthy) without including patients for which the test is most likely to be used on; those for which the situation is not clear.
In your analysis, you compare AD patients to healthy patients without including those with MCI. However, in practice, we are likely to use the instrument on patients with the entire spectrum of severity of dementia. Your results are therefore only valid if we can previously exclude those with MCI and then use the test.
How is this clinically feasible?
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