Table 15: The estimated cluster matrix based on estimated posterior probability matrix by using k-means method. Here we use symbol ◦ , • , † , ‡ to represent the level 1 to 4 respectively. Level 1 represents the lowest probability level, the level 4 represent the highest probability level. Table 16: The estimated Q-matrix based on the three dimensional Reduced NC-RUM model for the social anxiety disorder data. item C1 C2 C3 C4 C5 1 • • • ◦ • 2 † † 3 • • ◦ 4 † † ‡ 5 • ◦ ◦ ◦ • 6 7 † ◦ • ◦ ‡ 8 9 ◦ ◦ • ◦ • 10 11 ◦ ◦ • ◦ • 12 • † 13 ◦ • ◦ Q =       1 0 0 1 1 0 1 1 0 1 1 1 0 1 0 0 1 0 0 1 1 0 1 1 0 0 1 0 0 1 0 0 1 0 1 1 0 1 1       29