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Large-scale Assessments in Education

An IERI – International Educational Research Institute Journal

Table 4 Model fit statistics for the partial credit model of the HRL index

From: Assuming measurement invariance of background indicators in international comparative educational achievement studies: a challenge for the interpretation of achievement differences

Fit-statistics

Model

1

2

3

4

Log likelihood

−90,588.33

−89,914.61

−90,360.41

−88,523.81

AIC (smaller is better)

181,212.66

179,919.22

180,764.82

177,361.61

BIC (smaller is better)

181,389.71

180,361.83

180,981.21

178,905.83

  1. Model 1, constant discrimination parameter across countries and items; Model 2, constant discrimination parameters across items but vary across countries; Model 3 discrimination parameters are constant across countries but vary over items; Model 4, discrimination parameters vary across countries and across items
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