On Feb 1, 2011, at 2:31 PM, moleps wrote:


My terminology is probably way off. I´ll try again in plain english.

I´d like to generate a scatter plot of r1 & r2 and color code each pair according to the probability of observing the pair given that the two samples (r1 & r2) are drawn from two independent normal distributions.

The answer is still zero. If you want to ask a different question that might have a non-zero answer, it might be: How can I color points on the basis of their joint density with an assumption of no correlation , you might get a better answer. Densities are not probabilities. You would need to specify whether the arguments to the rnorm functions (i.e. the theoretic values) were to be used or did you intend to use sample values for mean and sd?



rr<-data.frame(r1=-rnorm(1000,10,5),r2=-rnorm(1000,220,5))

with(rr,plot(r1,r2))

Best,
//M




On 31. jan. 2011, at 23.13, Peter Ehlers wrote:

On 2011-01-31 12:42, moleps wrote:
Dear all,

Given

rr<-data.frame(r1<-rnorm(1000,10,5),r2<-rnorm(1000,220,5))


How can I add a column (rr$p) for the joint probability of each r1& r2 pair?

If you take the values in each pair to be observations
from two independent Normal distributions, it's easy:
The "joint probability" of those values is zero.

But I suspect you mean something else by "joint probability".
Can you elaborate?

Peter Ehlers

I know how to add the column.. I just dont know how to compute the p value for joint probabilities given the two samples.


//M

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