Large-scale Assessments in Education

An IERI – International Educational Research Institute Journal

Table 4 Comparison of fit indices in models

From: Exploration of the linear and nonlinear relationships between learning strategies and mathematics achievement in South Korea using the nominal response model : PISA 2012

Model	AIC	BIC	Log-Likelihood	\({\chi }^{2}\) for LRT	df	p-value
NRM	25,778.21	25,875.88	-12,873.10
GPCM	25,985.22	26,085.47	-12,980.61	215.008	4	< 0.001

Note. The values in bold represent the smaller value in log likelihood, AIC, and BIC. The LRT indicates the Likelihood Ratio Test; the df indicate the degree of freedom for the \({\chi }^{2}\) distribution.

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