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Seeming discrepancy between summary and confint; was: Confidence interval for relative contribution of random effect variance

Double check your results, you will see that there is agreement also
for random effects: the column to use is Std. Dev. which is indeed in
the confidence intervals given by confint --- just like standard
deviation for the residuals.

It just happen that confidence intervals are so wide, that they also
include the Variance value, but thats ? bad luck ?.
On Fri, Sep 12, 2014 at 02:52:11PM +0000, lorenz.gygax at agroscope.admin.ch wrote:
? Dear Martin,
? 
? Many thanks for this explanation which, of course, is very reasonable ;-)
? 
? But - and I may be real slow on this - why is the same seemingly not true for the random effects as well (summary and confint give the same absolute values)?
? 
? Cheers, Lorenz

? >> If I do the summary () this is what I get for the random effects part of the output.
? > 
? >> Random effects:
? >> Groups        Name        Variance Std.Dev.
? >> val:(part:ID) (Intercept) 0.4599   0.6782  
? >> part:ID       (Intercept) 0.1773   0.4211  
? >> ID            (Intercept) 0.1278   0.3575  
? >> Residual                  9.4302   3.0709  
? >> Number of obs: 1833, groups:  val:(part:ID), 214; part:ID, 72; ID, 25:
? > 
? > 
? >> If I do
? > 
? >> confint (HHbT.fin.lmer, method= 'profile')
? > 
? >> I get
? > 
? >> 2.5 %     97.5 %
? >> .sig01       0.41713241  0.9210729
? >> .sig02       0.00000000  0.7535615
? >> .sig03       0.00000000  0.6697109
? >> .sigma       2.96898087  3.1786606
? > 
? >> Where the above listed variances for the random effects fit nicely into the confidence intervals (.sig0x) but not the value for the residuals / .sigma where the variance from the summary seems to be approximately squared in respect to the confidence interval.