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generalized linear mixed models: large differences when using glmmPQL or lmer with laplace approximation

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Greg Snow wrote:
(the words in quotes are not a direct quote of what I said).

  Fair enough.  Sorry about that.
one possibility is that one method gave a wrong model (biased in a
non-good way),

another possibility is that the predictor variables are correlated
enough that

there are multiple good models.  I merely pointed out that comparing the

predicted values to the original values would be one way to possibly
distinguish between the 2 cases.

  Looking at the parameters, they seemed to be pretty similar to me,
although of course the details of the data (range of predictor
variables) matters too.
so we should not depend only on that.  P-values are useful in some cases,

so I would not say "don't worry about the p-values" as a general statement.

  Point taken.
is part of the result of statisticians doing to good a job of training
other researchers.

Now it is our responsibility to continue to train them as to when to use
certain tools.
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