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Pooling, eg for variance, is used when several groups or populations are assumed to have a common property (a common parameter value) and the information from all the groups or populations are used together to estimate that common property.

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Is this a valid way to calculate an SD of a pooled sample (NOT a pooled SD)?

Let's say I've got 2 different populations (e.g. 35 and 40) with 2 different means and SDs (22.3, 28.0) and n (e.g. 35,40). I don't actually know the individual values. Obviously you can calculate a p …
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