FAQ/poolse - CBU statistics Wiki

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How do I obtain a pooled mean standard error?

Suppose we have each of K people (or groups) which we wish to pool each with variances, V_$k$ and mean m$_k$ based on a sample of size n_$k}$.

$$ Pooled Variance V = \frac{\Sum_{k}(n_k}-1)V_{k}}{\Sum_{k}(n_{k}-1)} $$

$$ Pooled Mean Standard Error = \Sqrt{V / \sum_{k}n_{k}}