Table 8 Score conversion between Rasch scale scores and raw scores for different performance levels

Basic

 <  = 39.75

 <  = 14

 <  = 46.39

 <  = 38

 <  = 50.71

 <  = 37

Proficient

39.75 ~ 45.68

14 ~ 24

46.39 ~ 52.22

38 ~ 55

50.71 ~ 58.09

37 ~ 45

Advanced

45.68 ~ 49.49

24 ~ 31

52.22 ~ 58.33

55 ~ 72

58.09 ~ 63.17

45 ~ 50

Excellence

 > 49.49

 > 31

 > 58.33

 > 72

 > 63.17

 > 50