ABSTRACT
Consider a population of N subjects, consisting of N1 of type 1, N2 of type 2, …, and NJ
of type J, displayed in Table 5.2 such that
If we take a simple random sample of size n from this population without replacement, then the joint distribution of the number nj of type j within the sample is
(5.1)
where 0≤nj≤n for j=1, 2, …, J such that Σnj=n. This probability distribution is called the multivariate hypergeometric distribution. The proof of this can be found in appendix D.1.
