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While we're at it, let's try this one too: The p-value, if correctly computed, is the probability that data collected under different conditions actually come from the same distribution. My definition sidesteps the word "effect."

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My two cents is that once you start talking about "distributions" you add a layer of obfuscation that makes it a non-intuitive explanation.

Thanks. That's a good point. I wonder if there's a better term, or way of explaining it.

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