3.6 The DINO model

Stands for the deterministic input, noisy “or” gate model (Templin & Henson, 2006)

Item j splits the examinees in the different latent classes into two groups:

• those who have at least one of the required attributes $({\zeta }_{jl}=1)$

• those who have none of the required attributes $({\zeta }_{jl}=0)$

The IRF of the DINA model can be written by

$$P(Y_j=1|{\eta }_{jl})=\{\begin{array}{cc}{g}_j& \text{if}{\zeta }_{jl}=0\\ 1-s_j& \text{if}{\zeta }_{jl}=1\end{array}$$

The DINO model has only two parameters per item regardless of the number of attributes $K$:

• guessing parameter

• slip parameter

Please find the parameters from the plot below:

References

Templin, J. L., & Henson, R. A. (2006). Measurement of psychological disorders using cognitive diagnosis models. Psychological Methods, 11(3), 287–305. https://doi.org/10.1037/1082-989X.11.3.287