Diff for "FAQ/poolse" - CBU statistics Wiki
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Suppose we have each of K people (or groups) which we wish to pool each with variances, $$\mbox{V}_text{k}$$ and mean $$\mbox{m}_text{k}$$ based on a sample of size $$\mbox{n}_text{k}$$. Suppose we wish to pool over each of K people (or groups) with the k-th individual having variance, $$\mbox{V}_text{k}$$ and mean $$\mbox{m}_text{k}$$ based on a sample of size $$\mbox{n}_text{k}$$.
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$$
Pooled Mean Standard Error = \sqrt{V / \sum_text{k} n_text{k}}
$$

How do I obtain a pooled mean standard error?

Suppose we wish to pool over each of K people (or groups) with the k-th individual having variance, $$\mbox{V}_text{k}$$ and mean $$\mbox{m}_text{k}$$ based on a sample of size $$\mbox{n}_text{k}$$.

$$\mbox{Pooled Variance V = } \frac{\sum_text{k} (n_text{k}-1) \mbox{V}_text{k}}{\sum_text{k}(n_text{k} -1)} $$

$$\mbox{Pooled Mean Standard Error = } \frac{\mbox{V}}{\sum_text{k}n_text{k}} $$

None: FAQ/poolse (last edited 2014-07-25 11:10:50 by PeterWatson)