Re: Measure of representativeness



diodoo wrote:
Suppose I have

State | Sample | Population
s1 | n1 | N1
s2 | n2 | N2
. | .. | ..

Is the correlation between (n1 n2 ..) and (N1 N2 ..) a good way to measure the representativeness of the sample? Or are there other standard way to quantify this?

Thanks you,
diodoo

One good way is the uncentered correlation of the square roots
of the counts:

sum sqrt(ni*Ni)
r = -----------------------,
sqrt[(sum ni)*(sum Ni)]

which is related to the "Hellinger distance" between the two
distributions.

.