LC2LG {GDINA}

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)

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.

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.

Author(s)

Wenchao Ma, The University of Alabama, [e-mail]
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)