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Re: st: Log of the mean vs mean of the log

From   Nick Cox <[email protected]>
To   "[email protected]" <[email protected]>
Subject   Re: st: Log of the mean vs mean of the log
Date   Wed, 23 Apr 2014 12:46:45 +0100

I think people need much more context to advise well, including
precisely what you are ranking and why any function or functional of
ranks is a natural dependent variable. What's wrong with number of
downloads? I would expect as at least a zeroth approximation to be
using a log scale for that, but that implies to me a Poisson model as
starter, not that you need to calculate any logged quantity at all.
[email protected]

On 23 April 2014 09:51, Estrella Gomez <[email protected]> wrote:
> Hi,
> I have a variable that is the number of downloads in a country at the
> song level, so each observation is song & artist & number of downloads
> & country & rank. I want to aggregate this at the country level and
> introduce the sum of the ranks as dependent variable in a gravity
> equation. I have aggregated taking the sum of the ranks and then the
> logarithm of this sum. My question is: is this correct or should I
> instead take first the logarithm of the ranks at the song level and
> then take the sum of this logarithms? I am not very clear on the
> difference between the sum of the log ranks and the log of the sum of
> the ranks
> Thank you very much,
> Estrella
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