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Douglas_Knight comments on Be Skeptical of Correlational Studies - Less Wrong
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Are you using Semelweiss as an example of the medical community properly assessing and synthesizing data?
I'm using it as an example of a valuable fact about disease being established by correlation.
Your paragraph speaks about correlation providing a hypothesis while the "fact about disease" was established by an experimental intervention study.
I think we're getting into a discussion about what it means for something to be established as a fact, which doesn't sound very useful.