Dear R-helpers,

I am developing a Mixed-Effects model for a study of immunoassays using 'lme4' library. The study design is as follows: 10 samples were run using 7 different immunoassays, 3 times each, in duplicates. Data attached. I have developed the following model:

c.lme <- lmer(Result~SPL + (SPL|Assay/Run) -1, data=data)

This model has excellent predictions - the Rsquared of the predicted vs measured results is almost 1, with very small RMSE. However, I am not interested in the estimates of the mean, but in SDs from the model.

I access the SDs using b<-VarCorr(c.lme). There:
- the 'attr(b$Assay, "stddev")' is the assay-to-assay SD component for each sample (SDaa)
 - the 'attr(b$Run, "stddev")' is the run-to-run component (SDrr)
- the 'attr(b, "sc")' i.e. the residual (SDres), would be the within-run component, but it's a single number for all the samples.

* The problem:
- how to estimate the 'within-run' component (SDres) for each sample separately, as the two other components?

* Solutions tried:
- subtracting SDaa and SDrr from total SD - sometimes produces negative results
 - adding SDres to SDaa + SDrr is usually greater than total SD
 - ...

I have no idea how to do this in a formally acceptable way. Any help would be appreciated.

Kind regards,

--
Michal J. Figurski, PhD
HUP, Pathology & Laboratory Medicine
Biomarker Research Laboratory
3400 Spruce St. 7 Maloney
Philadelphia, PA 19104
tel. (215) 662-3413
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