Table 4.

The Kolmogorov-Smirnov statistic D, or maximum vertical distance between empirical cumulative distribution functions of directly acquired and converted scores, was computed. Conversions were performed using the data presented in Table 3. As indicated by a smaller D statistic, the direction mRS → GOS was better than GOS → mRS. Kuiper, Cramer-von Mises and Anderson-Darling test statistics are also shown as sensitivity analyses to demonstrate robustness of findings; a smaller statistic reflects more similar distributions.

Distribution comparison	Kolmogorov-Smirnov statistic (D)	Kuiper test statistic	Cramer-von Mises test statistic	Anderson-Darling test statistic
Directly acquired mRS & GOS converted to mRS	0.157	0.298	0.048	4.593 × 10−5
Directly acquired GOS & mRS converted to GOS	0.054	0.080	0.004	3.239 × 10−6