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Apr 6, 2016 at 15:29 vote accept Cian Murphy
Apr 6, 2016 at 2:13 comment added Steve Samuels Sorry, the previous comment omitted some square roots. $s_h =\sqrt{p_h(1−p_h)}$ is the standard deviation of a binomial variable with success probability $p_h$. The numerator for stratum h in the document is $N_h\sqrt{ p_h(1−p_h}$ and is therefore correct. $N_h$ is the size of the population in stratum h. You are misreading the term as $n_h\sqrt{ p_h(1−p_h)}$. $\sqrt{p_h (1-p_h)/n_h}$ is the standard error or the estimated $p_h$, not its standard deviation.
Apr 4, 2016 at 7:56 comment added Cian Murphy Thanks Steve. My confusion though is in calculating sh - for a proportion I generally understood this was √(p)(1-p)/n, but here it seems to be √n(p)(1-p). Sure I'm missing something obvious, but just can't spot it!
Mar 31, 2016 at 17:01 history answered Steve Samuels CC BY-SA 3.0