The point is not having to type lots of zeros (or of nines) with extreme probabilities (so that people won’t weasel out and use ‘epsilon’); having to type 1:999999999999999 is no improvement over having to type 0.000000000000001.
Is such precision meaningful? At least for me personally, 0.1% is about as low as I can meaningfully go—I can’t really discriminate between me having an estimate of 0.1%, 0.001%, or 0.0000000000001%.
Specifically, I would guess that you can distinguish the strength of your belief that a lottery ticket you might purchase will win the jackpot from one in a thousand (a.k.a. 0.1%). Am I mistaken?
That’s a very special case—in the case of the lottery, it is actually possible-in-principle to enumerate BIG_NUMBER equally likely mutually-exclusive outcomes. Same with getting the works of shakespeare out of your random number generator. The things under discussion don’t have that quality.
I agree in principle, but on the other hand the questions on the survey are nowhere as easy as “what’s the probability of winning such-and-such lottery”.
The point is not having to type lots of zeros (or of nines) with extreme probabilities (so that people won’t weasel out and use ‘epsilon’); having to type 1:999999999999999 is no improvement over having to type 0.000000000000001.
Is such precision meaningful? At least for me personally, 0.1% is about as low as I can meaningfully go—I can’t really discriminate between me having an estimate of 0.1%, 0.001%, or 0.0000000000001%.
I expect this is incorrect.
Specifically, I would guess that you can distinguish the strength of your belief that a lottery ticket you might purchase will win the jackpot from one in a thousand (a.k.a. 0.1%). Am I mistaken?
That’s a very special case—in the case of the lottery, it is actually possible-in-principle to enumerate BIG_NUMBER equally likely mutually-exclusive outcomes. Same with getting the works of shakespeare out of your random number generator. The things under discussion don’t have that quality.
I agree in principle, but on the other hand the questions on the survey are nowhere as easy as “what’s the probability of winning such-and-such lottery”.
You’re right, good point.
Just type 1:1e15 (or 1e-15 if you don’t want odd ratios).