[R-sig-ME] SE and CI for ICC

[Michael Cone]

Dave,
I am trying to learn more about repeatability and method comparisons 
right now, and this article was helpful for me. Thanks.
Do you happen to know of a similar review on modeling method comparison 
studies when reference values are known?

Michael

Am 13.09.2014 00:18 schrieb David Atkins:
> Masood--
> 
> If memory serves, the following article might be helpful (and, I
> believe had associated R code):
> 
> http://www.ncbi.nlm.nih.gov/pubmed/20569253
> 
> Biol Rev Camb Philos Soc. 2010 Nov;85(4):935-56. doi:
> 10.1111/j.1469-185X.2010.00141.x.
> 
> Repeatability for Gaussian and non-Gaussian data: a practical guide
> for biologists.
> 
> Nakagawa S1, Schielzeth H.
> 
> [Note that repeatability = ICC]
> 
> Hope that helps.
> 
> cheers, Dave
> 
> --
> Dave Atkins, PhD
> 
> Research Professor
> Department of Psychiatry and Behavioral Science
> University of Washington
> datkins at u.washington.edu
> http://depts.washington.edu/cshrb/david-atkins/#more-48
> 
> "You can never solve a problem on the level on which it was created."
> (attributed to) Albert Einstein
> 
> Mohd Masood <drmasoodmohd at ...> writes:
> 
>> 
>> I am using random intercept logistic model (in lme4) to calculated
>> Intraclass correlation coefficient (ICC). lme4 only provides point
>> estimates and standard deviation (not standard errors) of variance
>> estimates.These
>> point estimates can be used to calculated point estimates for ICC. 
>> The
>> problem is how can I calculate standard error and confidence interval 
>> for
>> ICC. I couldn't find any literature showing formula to
>> calculate confidence
>> interval around ICC.  Or is it not possible to calculate
>> SE and CI for ICC
>> due to skewed sampling distribution (Please see PMCID: PMC3426610).
>> 
>> Thanks
>> Masood
>> 
> 
> 
>   Some possibilities:
> 
>  * If you want the standard deviations of the variance estimates
> (keeping the strong caveats about non-Normal sampling distributions
> in mind), you could adapt the approach shown in
> http://rpubs.com/bbolker/varwald  (presumably formulas
> for confidence intervals
> of the ICC based on the variances of the estimates of the RE variances
> are using the delta method?  I don't know this literature)
> 
>  * as suggested in a previous e-mail, it might be possible to
> compute profile confidence intervals on the ICCs by using
> nloptr::auglag or some other optimization framework that allows
> nonlinear equality constraints.
> 
>  * or via parametric bootstrap/bootMer ...
> 
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