Formula score theory (FST) associates each multiple choice test with a linear operator and expresses all of the real functions of item response theory as linear combinations of the operator's eigenfunctions. Hard measurement problems can then often be reformulated as easier, standard mathematical problems. For example, the problem of estimating…

In an effort to standardize academic application procedures, the Standardized Letter of Recommendation (SLR) was developed to capture important cognitive and noncognitive qualities of graduate school candidates. The SLR consists of seven scales ("knowledge," "analytical skills," "communication skills,"…