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Harvill mentions an estimate by Lord (1959). Lord (1959) presents some data for the standard error of measurement for some moderately difficult cognitive measures. While there are many caveats (e.g., the estimate of the standard error is most accurate for scores around 50% and the estimates are based on tests that are neither particularly easy or ...

To me the most natural solution is to just use item response theory (IRT). IRT has been around for a few decades, so it is well established, implemented in a variety of software packages and provides a sensible, extensible framework for this type of problem. Essentially, one assumes an underlying latent construct of interest, values of which should drive ...

Bacon and Bean (2006) discuss the issue of the reliability and validity of GPA. They report the results of two studies that looked at the reliability of GPA in samples of business students at the same university. Average intercourse grade correlations were typically between $\bar{r} =.18$ and $\bar{r} =.38$. Estimates of reliability for GPA ranged from .67 ...