5.2 Likelihood of an individual response vector

Let us assume we have $J=5$ items in a test measuring $K=2$ attributes and the Q-matrix is given below:

Code

Q <- matrix(c(1, 0, 1, 0, 0, 1, 0, 1, 1, 1), ncol = 2, byrow = TRUE)

Also assume that we have item responses from $N=10$ students:

Code

y <- matrix(c(1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 1,
    0, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 1, 1,
    0, 1, 0, 1, 0, 1, 0, 1), ncol = 5, byrow = TRUE)