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Observation-level random effect in poisson GLMM

4 messages · Tim Carnus, Jarrod Hadfield

#
Hi,

Breslow refers to this approach as the "classical" approach in 1981 so  
I would imagine the idea is so old it could be attributed to common  
sense.

He cites HINDE J GLIM 82-109 1982 as using a log-normal mixing  
distribution instead of the usual gamma (i.e. negative binomial) which  
is equivalent to the observation-level random effect with log link.

Cheers,

Jarrod




Quoting Tim Carnus <Tim.Carnus at ucd.ie>:

  
    
#
Hi,

Breslow refers to this approach as the "classical" approach in 1981 so  
I would imagine the idea is so old it could be attributed to common  
sense.

He cites HINDE J GLIM 82-109 1982 as using a log-normal mixing  
distribution instead of the usual gamma (i.e. negative binomial) which  
is equivalent to the observation-level random effect with log link.

Cheers,

Jarrod




Quoting Tim Carnus <Tim.Carnus at ucd.ie>:

  
    
#
Sorry - the Breslow paper is 1990 not 1981:

Breslow, N. 1990 Tests of hypotheses in overdispersed Poisson  
regression and other quasi-likelihood models J. Am. Stat. Ass. 85  
565-571

Quoting Tim Carnus <Tim.Carnus at ucd.ie>: