GDINA (version 2.9.4)

LC2LG: Transformation between latent classes and latent groups

Description

This function gives the equivalent latent classes which have the same category success probabilities for each category or item.

Usage

LC2LG(Q, sequential = FALSE, att.str = NULL)

Value

An item or category by latent class matrix. In the G-DINA model, if item j measures \(Kj\) attributes, \(2^K\) latent classes can be combined into \(2^{Kj}\) latent groups. This matrix gives which latent group each of \(2^K\) latent classes belongs to for each item.

Arguments

Q

A required \(J \times K\) binary Q-matrix. J represents test length and K represents the number of attributes of this test. Entry 1 at row j and column k represents the \(k^{th}\) attribute is measured by item \(j\), and 0 means item \(j\) does not measure attribute \(k\).

sequential

logical; whether the Q-matrix is a Qc-matrix for sequential models?

att.str

attribute structure. See GDINA for details.

Author

Wenchao Ma, The University of Alabama,
Jimmy de la Torre, The University of Hong Kong

Examples

attributepattern(3)

q <- matrix(scan(text = "0 1 0 1 0 1 1 1 0"),ncol = 3)
q
LC2LG(Q = q)