I am interested in taking three separate stratified samples from a population so that I can assign them to different treatments. I see some obvious issues with this, namely being that elements in the first sample don't have the chance of being in the second sample, etc. Is there a good way to achieve this result?
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Please explain what you mean exactly by "taking" and "achieve this result." Are you asking about the logistics of conducting a stratified sampling program? Of how to estimate a population property based on a stratified sample? Of how to demonstrate there are "issues"? How to find an optimal design for a stratified sampling program? Something else? – whuber Mar 03 '22 at 14:02