glmms:Checking out over_under_dispersion

The standard advice is to compare either the residual deviance or the
sum of squares of the Pearson residuals to the residual degrees of
freedom (i.e. (number of observations) - (number of parameters)). This
is essentially taking the advice for GLMs (see e.g. McCullagh and
Nelder, or probably any textbook on GLMs) and applying it to GLMMs.

If, for a given built glmm "mod", I don't want to use an available tool to
check out (over or under) dispersion, with which variance should I compare
the total variance explained by mod?
In advance, thanks for your replies.
Kind regards,

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