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A sampling technique in which the population of interest is partitioned into subsets ("strata") based on characteristics known at all units before sampling.
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What is the error of the global mean given known equal errors for each stratum?
We have $H$ strata, each with sampled mean $\bar Y_{h}$, taken from population of size $N_h$ and error $\epsilon_h$. $\bar Y, N, \epsilon$ are the corresponding quantities for the whole sample.
\begi …
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What is the error of the global mean given known equal errors for each stratum?
This was asked to me by a colleague. It seems to be an easy one but I wasn't able to find the derivation online. I've added my own attempt below.