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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.

1 vote
1 answer
2k views

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 …
Ben's user avatar
  • 215
2 votes

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 …
Ben's user avatar
  • 215