Assessing the evidence for the comparability of socioeconomic status between students with and without immigrant background in Norway and Sweden

Large-scale Assessments in Education

An IERI – International Educational Research Institute Journal

Table 4 Likelihood-ratio tests and information criteria of the multi-group invariance models for Norway

Model	LL	SCF	Npar	AIC	BIC	aBIC	Model comparisons
Model	LL	SCF	Npar	AIC	BIC	aBIC	cLRT	\(\Delta\) Npar	p
Model 1. Configural	− 74,628	1.099	194	149,644	150,929	150,313	–	–	–
Model 2. Metric	− 74,694	1.061	152	149,692	150,699	150,216	107.2	42	< .001
Model 3. Scalar	− 81,155	1.229	56	162,421	162,792	162,615	12,483.8	138	< .001
Measurement model for the total sample (N = 5575)	− 73,860	1.106	64	147,849	148,273	148,070	–	–	–
Measurement model for the native sample (n = 4883)	− 62,309	1.113	64	124,747	125,162	124,959	–	–	–
Measurement model for the 2ndGEN sample (n = 347)	− 4706	1.094	64	9541	9787	9584	–	–	–
Measurement model for the 1stGEN sample (n = 345)	− 5047	1.101	64	10,223	10,469	10,266	–	–	–

LL: Log-likelihood value; Npar: Number of free parameters; SCF: Scaling correction factor; AIC: Akaike’s information criterion; BIC: Bayesian information criterion, aBIC: sample size adjusted BIC; cLRT: corrected Likelihood-ratio test statistic