Table 4.
DINA |
DINO |
A-CDM |
||||||||
---|---|---|---|---|---|---|---|---|---|---|
Item quality | J | PWKL | MPWKL | GDI | PWKL | MPWKL | GDI | PWKL | MPWKL | GDI |
HD-LV | 10 | 0.752 | 0.878 | 0.887 | 0.749 | 0.855 | 0.849 | 0.839 | 0.817 | 0.826 |
20 | 0.989 | 0.996 | 0.996 | 0.986 | 0.995 | 0.996 | 0.992 | 0.992 | 0.991 | |
40 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | |
HD-HV | 10 | 0.854 | 0.979 | 0.981 | 0.870 | 0.979 | 0.981 | 0.963 | 0.967 | 0.962 |
20 | 0.999 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | |
40 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | 1.000 | |
LD-LV | 10 | 0.454 | 0.589 | 0.604 | 0.441 | 0.551 | 0.557 | 0.515 | 0.524 | 0.511 |
20 | 0.814 | 0.892 | 0.890 | 0.803 | 0.872 | 0.871 | 0.855 | 0.857 | 0.859 | |
40 | 0.987 | 0.995 | 0.995 | 0.984 | 0.993 | 0.992 | 0.987 | 0.990 | 0.990 | |
LD-HV | 10 | 0.569 | 0.723 | 0.719 | 0.596 | 0.703 | 0.704 | 0.658 | 0.666 | 0.660 |
20 | 0.917 | 0.962 | 0.962 | 0.924 | 0.969 | 0.966 | 0.948 | 0.953 | 0.951 | |
40 | 0.999 | 1.000 | 0.999 | 1.000 | 1.000 | 1.000 | 0.998 | 0.999 | 0.999 |
Note. CVC = correct attribute vector classification; DINA = deterministic inputs, noisy “and” gate; DINO = deterministic input, noisy “or” gate; A-CDM = additive CDM; CDM = cognitive diagnosis model; PWKL = posterior-weighted Kullback–Leibler index; MPWKL = modified posterior-weighted Kullback–Leibler index; GDI = G-DINA model discrimination index; G-DINA = generalized DINA; HD-LV = high discrimination–low variance; HD-HV = high discrimination–high variance; LD-LV = low discrimination–low variance; LD-HV = low discrimination–high variance.