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A measure of dispersion expressed relative to the mean, used for positive variables. Equals the standard deviation divided by the mean.
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Decomposing the coefficient of variation into within- and between- group components
I know that the variance can be decomposed into within- and between-group components.
Let $Y$ be a vector and $Y_{i}$ and be a subgroup of $Y$ and we have $I$ subgroups, then
$Var_{T}(Y)=Var_{W}(Y)+Va …
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Decomposing the coefficient of variation into within- and between- group components
The coefficient of variation for each subgroup must be normalized with the grand mean rather than the subgroup means. However, the sum of within- and between-group CV are still only approximately the …