Calculate \(\mathbf{M}\) matrix

Calculate \(\mathbf{M}\) matrix for saturated CDMs (de la Torre, 2011). The \(\mathbf{M}\) matrix is a matrix used to represent the interaction mechanisms between attributes.

get.Mmatrix(K = NULL, pattern = NULL)

Arguments

K

The number of attributes. Can be NULL if the argument pattern is not NULL.

pattern

The attribute mastery pattern matrix containing all possible attribute mastery pattern. Can be gained from attributepattern. Also can be NULL if K is not NULL.

Value

An object of class matrix.

References

de la Torre, J. (2011). The Generalized DINA Model Framework. Psychometrika, 76(2), 179-199. DOI: 10.1007/s11336-011-9207-7.

Author

Haijiang Qin <Haijiang133@outlook.com>

Examples

library(Qval)

Mmatrix <-  get.Mmatrix(K = 3)

print(Mmatrix)
#>      [,1] [,2] [,3] [,4] [,5] [,6] [,7] [,8]
#> [1,]    1    0    0    0    0    0    0    0
#> [2,]    1    1    0    0    0    0    0    0
#> [3,]    1    0    1    0    0    0    0    0
#> [4,]    1    0    0    1    0    0    0    0
#> [5,]    1    1    1    0    1    0    0    0
#> [6,]    1    1    0    1    0    1    0    0
#> [7,]    1    0    1    1    0    0    1    0
#> [8,]    1    1    1    1    1    1    1    1