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lmer vs glmmPQL

Regarding this thread, what about the method of fitting nested models
and using anova() to estimate a p-value.

For example:

mod2 = lmer(y ~ genotype + (1|block), family = binomial, data)
mod0 = lmer(y ~ (1|block), family = binomial, data)

anova(mod0,mod2)

How does that p-value (which is one value for the whole term
"genotype") relate to the individual coefficient p-values derived from
the Z-scores inside summary(mod2)?

Thanks,
Dan