ideal.response.pattern function

Ideal Response Pattern

This function computes the ideal response pattern which is the latent item response $\eta_{lj}=\prod_{k=1}^K \alpha_{lk}$ for a person with skill profile $l$ at item $j$.

ideal.response.pattern(q.matrix, skillspace=NULL, rule="DINA")

Arguments

• q.matrix: The Q-matrix
• skillspace: An optional skill space matrix. If it is not provided, then all skill classes are used for creating an ideal response pattern.
• rule: Chosen condensation rule for the CDM. Can be "DINA" or "DINO".

Returns

A list with following entries

• idealresp: A matrix with ideal response patterns

• skillspace: Used skill space

Examples

#############################################################################
# EXAMPLE 1: Ideal response pattern sim.qmatrix
#############################################################################

data(sim.qmatrix, package="CDM")
q.matrix <- sim.qmatrix

#- ideal response pattern for DINA model
CDM::ideal.response.pattern(q.matrix)

#- ideal response pattern for DINO model
CDM::ideal.response.pattern( q.matrix, rule="DINO" )

# compute ideal responses for a reduced skill space
skillspace <- matrix( c( 0,1,0,
                         1,1,0 ), 2,3, byrow=TRUE )
CDM::ideal.response.pattern( q.matrix, skillspace=skillspace)