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The likelihood ratio is the ratio of the likelihoods of two models (or a null and alternative parameter value within a single model), which may be used to compare or test the models. If either model is not fully specified then its maximum likelihood over all free parameters is used - this is sometimes called a generalized likelihood ratio.
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Using a AIC or LRT for a GLM and LMM
I am trying to compare 2 models (a GLMER with a random effect and a GLM with the random effect removed). However, I was told you can't use an AIC for GLM's but I thought you could!?
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Interpreting LRT output
I am comparing the fit of two models:
> lrtest(fullmodel,reducedmodel)
Likelihood ratio test
Model 1: MM ~ x * y + (1 | Replicate)
Model 2: MM ~ x * y
#Df LogLik Df Chisq Pr(>Chisq)
1 8 35 …