I have a sample of Business units, which has been stratified according to two stratification variables (Revenue class and field of Business acitivity). Within the strata, Units were sampled according to simple random sampling without replacement and after a specified sample size for each stratum, hence inclusion probabilities of Units of the same stratum are identical.
The business Units are from different geographical regions which have not been considered when building strata. Now I want to build estimates for each Region. Hence, within the estimation strata (regions) are Units with unequal probabilities.
I am not sure how to calculate the Joint inclusion probability. Does anyone know how to do it according to the explained stratification scheme? Or would there even be another estimator that would be more appropriate? Let me know if you kneed further Information. Thank you a lot in advance!