It's been a while for me too. What I remember is that one can equivalently
use scores that are the log of the gammas, and then the whole thing looks
just like a natural generalization of logistic regression, where you
basically have a bunch of features that you combine linearly, and then the
probability of each result is proportional to the exponential of that
linear combination.




On Tue, Apr 2, 2013 at 5:59 PM, Jason House <[email protected]>wrote:

> On Apr 2, 2013, at 4:08 PM, Don Dailey <[email protected]> wrote:
>
> > I like that paper a lot,  but I really had a difficult time swallowing
> the assumption that a team could be rating by summing together each
> individual member.     The paper of course makes a disclaimer that it may
> not be a good assumption "all the time" but in my view it's rarely  a good
> assumption - unless you are playing tug of war.
> >
> > It may be a reasonable however if the number of features in the pattern
> you are comparing is the same.  Then summing the ELO's of the features is
> exactly the same as taking the average.    I don't remember if that was the
> case here.
>
> It's been a while since I read the paper, but I do believe the number of
> features per point is constant for the data set Remi used. He had
> independent grouping of features, and each group would have one member for
> each point on the board. I logically treat "absent" as an extra level with
> a gamma of 1.0. With such exhaustive partitioning, one member of a group
> must have a gamma of 1.0 or there won't be a unique result. For example,
> all gammas in the "MC Owner" category could be multiplied by 1000 and it'd
> still yield the same probability distribution.
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