Scheiblechner, H. (2003). Linear isotonic models LINISOP
Scheiblechner, H. (1995). Isotonic ordinal probabilistic models (ISOP) Psychometrika, 1995
Scheiblechner, H. (1999). Additive conjoint isotonic probabilistic models (ADISOP) Psychometrika, 1999
Psychometrika, 2003
01...y mjmj 0 1+ _ x n(x,y)... mimi _ + Response to Item j Response to Item i Table 1. Contingency table for responses to two items. The entries n(x,y) are the frequencies of the subjects with response vectors (x, y). Psychometrika, 2003
Verallgemeinerung der isotonen Ordnung (similar order) auf Vektoren
Psychometrika, 2003 Verallgemeinerung auf 2 Mengen
Psychometrika, 2003 Geltung von W1 für jedes item: W1 i Conservativism (Christodoulides, P., 1993) Geltung von W2 für jede Vp: W2
0III 0 I 0I item 1 item 2 item 3 categ II categ I categ 0 000I I 1 I II
Scheiblechner, H. (2003). Nonparametric IRT: multivariate unidimensional isotonic probabilistic models (d-ISOP) Figure 1 2-dimensional partial order
Figure 2 Isotonic rank orders (parameters) 4 Restrictions of 1 common rank order
Scheiblechner, H., Lutz, R. (2004). MR-SOC