Where the Reference intervals reasoning breaks down for me is the step from the group result to the individual case. That step is almost never argued for.
Reference intervals: how they are constructed and why one in twenty flags — does this still hold?
Second-hand on Reference intervals, so weight it accordingly — someone whose method I trust told me this and I have not verified it myself.
Two claims get bundled together under Reference intervals and they need separating. The descriptive one — this is what was observed — is usually well supported. The causal one — this is why — usually is not.
Almost every disagreement in threads like this one dissolves once you say which of the two you are making.
The useful distinction on Reference intervals is between what was measured and what was inferred from it. Both end up in the same sentence and only one of them has error bars.
Reference intervals is a good example of a question where the honest answer is boring and the interesting answers are unsupported. I would go with boring.
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