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Distribution and link in GMM

Posted: Wed Jul 26, 2023 8:10 am
by Corabiche
Hi !

I have an issue about GMM and I wondered if you could help me.

I have a dependant variable which is quanti but not continuous (numbers of tries before succeed, min = 4 by definition of the variable), and the histogram is :
distrib_forum.png
distrib_forum.png (9.1 KiB) Viewed 10239 times

I have to construct a model with random and fixed components so I have to use a GMM.
But with this kind of dependant variable, I don’t know which distribution and link I have to choose.

I thought about Poisson but mean (4.5) is too different of variance (1.03).
There is no overdispersion either so I don’t think negative binomial is ok …
I’m a little lost with this one …

If you can help me, I will be very greatful.
Thanks a lot in advance.

Have a nice summer !

Re: Distribution and link in GMM

Posted: Sun Jul 30, 2023 8:56 pm
by N1X3L
These trainings sound like they could be treated as ordinal data, in which case a cumulative link mixed model would be appropriate.