This seems like a very basic question, but I'm having a hard time answering it by googling.
If a sampling distribution is composed of all the values of a given statistic derived from all possible samples of a given sample size, then does "all possible samples" refer to nPr or nCr?
My guess is combinations - because for any statistic I can think of (sample mean, variance, etc.) the *order* of the scores in the calculation certainly wouldn't affect the value of the statistic for that sample - but it's bothering me that I can't find something authoritative that confirms my guess.
Or is it possible that it doesn’t even matter? E.g., if [X]% of all permutation-samples would have a sample mean above or below a given value, would that exact same [X]% of combination-samples have a sample mean above or below that same threshold?
If a sampling distribution is composed of all the values of a given statistic derived from all possible samples of a given sample size, then does "all possible samples" refer to nPr or nCr?
My guess is combinations - because for any statistic I can think of (sample mean, variance, etc.) the *order* of the scores in the calculation certainly wouldn't affect the value of the statistic for that sample - but it's bothering me that I can't find something authoritative that confirms my guess.
Or is it possible that it doesn’t even matter? E.g., if [X]% of all permutation-samples would have a sample mean above or below a given value, would that exact same [X]% of combination-samples have a sample mean above or below that same threshold?
Last edited: