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Timeline for p-values for hypothesis testing

Current License: CC BY-SA 4.0

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Nov 12 at 7:05 history edited Sextus Empiricus CC BY-SA 4.0
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Nov 12 at 5:54 comment added Buck Thorn This is what I thought. When the pdf is not discrete it is nonsensical to report a probability associated with observing any particular value (an integral might extend over the "measurement uncertainty" but this does not resolve the dilemma).
Nov 10 at 17:59 history edited Sextus Empiricus CC BY-SA 4.0
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Nov 10 at 17:33 comment added whuber Okay--but it is difficult to see how that relates to what you have posted, which discusses how "very small values" can be "compared in a ... relative sense." That sounds like a completely different topic.
Nov 10 at 17:32 comment added Sextus Empiricus @whuber I read it as: „ why do we use the (integral over) probabilities of all worst values $\int_{x}^\infty f(y) dy$ instead of only the observed single value $f(x)$?“
Nov 10 at 17:29 comment added whuber Are you sure you are answering the question? I read it as asking about the "or more extreme" criterion in calculating p-values in hypothesis tests, not about whether numbers are "small" in any sense.
Nov 10 at 17:08 history answered Sextus Empiricus CC BY-SA 4.0