Table 2 Specification of the famous IRT model following the components: (r,F, Z q ,U a ) for the GLMM and (r,F,nl) for IRT model with no longer linear predictor
IRT models | \(\eta _{im}^{(j)}\) | (r,F, Z q ,U a ) |
|---|---|---|
Rating scale model | \(\theta _{i}-\left (\delta _{m}+\tau _{j}\right)\) | (adjacent,logistic, Z 2,U 1 ) |
Partial credit model | θ i −δ jm | (adjacent,logistic, Z 1,U 1 ) |
Sequential Rasch model | θ i −δ jm | (sequential,logistic, Z 1,U 1 ) |
Graded response model | \(\alpha _{j}\left (\theta _{i}-\delta _{jm}\right)\) | (cumulative,logistic,nl) |
Generalized partial credit model | \(\alpha _{j}\left (\theta _{i}-\delta _{jm}\right)\) | (adjacent,logistic,nl) |