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Science Forum Index » Statistics - Math Forum » integration p-values sampled from normal distribution
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| Tim De Meyer |
Posted: Mon Mar 12, 2007 12:01 am |
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Hi all,
I could use some help on the following problem:
Suppose I draw one random sample x out of a normal distribution(pdf N(x,mu=0,stdev=1)). I calculate the corresponding P-value as the integral of N between -inf and x. I repeat this for inf times so I get a distribution of P-values. Then I want to calculate the integral of this new distribution between -inf and a certain P-value p.
In my problem p is given and I want to calculate this last integral. Mathematically, suppose norminv is the inverse of the normal cdf, then I want to calculate:
integral between -inf and p of N(norminv(p),0,1)
Does anyone knows if there exists a way to calculate this? If somebody can confirm it doesn't exist I can use a sampling approach...
Thanks a lot!
Tim |
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| Jack Tomsky |
Posted: Mon Mar 12, 2007 4:31 am |
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Quote: Hi all,
I could use some help on the following problem:
Suppose I draw one random sample x out of a normal
distribution(pdf N(x,mu=0,stdev=1)). I calculate the
corresponding P-value as the integral of N between
-inf and x. I repeat this for inf times so I get a
distribution of P-values. Then I want to calculate
the integral of this new distribution between -inf
and a certain P-value p.
In my problem p is given and I want to calculate this
last integral. Mathematically, suppose norminv is the
inverse of the normal cdf, then I want to calculate:
integral between -inf and p of N(norminv(p),0,1)
Does anyone knows if there exists a way to calculate
this? If somebody can confirm it doesn't exist I can
use a sampling approach...
Thanks a lot!
Tim
THe integral is equal to p. That's because p is uniformly distributed between zero and one.
Jack |
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