Maybe a silly question, but do any science-y people know if studies like this make sure the inverse relationship isn't actually what's at play? Basically how do we know the actual relationship isn't that unhealthy people are less likely to take care of their teeth?
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They don't, the study makes no claim as to a causal relationship
I don't know about this study but you could say take a bunch of people with bad teeth, leave the controls alone and have the others sorted by good dentists to see how it affected things for example.