Commentary: about that measurement problem.

(c) if S is greater than mode2 then S5max sqrtf2 · ðmax mode2Þ * ðS mode2Þg; wheremin, mode1,mode2, andmax define theminimum, lower mode, upper mode and maximum of a trapezoidal distribution, respectively, and S is the sensitivity or specificity. While this method does not yield a correlation between the two sensitivities (or specificities) exactly equal to the correlation that the user inputs, it will be similar and the realized correlation is printed out for the user. Graphs of the resulting pairs are also printed for the user to check and examples are shown in Figure 1. Note that the specificity distribution among the controls is truncated suggesting that values ,0.788 produce impossible results. The distributions produced by this algorithm are actually smoothed modifications of trapezoidal distributions.