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Table 8 Hypotheses testing

From: Cognitive diagnosis models of students’ skill profiles as a basis for adaptive teaching: an example from introductory accounting classes

Model

loglike

# Par

AIC

BIC

\(\chi\) 2

df

p

 

NC-RUM30

− 12069.4

300

24738.7

26133.8

   

H1

C-RUM30

− 12468.6

138

25213.1

25854.9

798.4

162

 < 0.001

H2

HIR-NC-RUM30

− 12512.9

300

25625.7

27020.8

887.0

0

  1. H1/2 Hypothesis 1/2, NC-RUM30 Non-compensatory reparameterized unified model with 30 tasks, C-RUM30 Compensatory reparameterized unified model with 30 tasks, HIR-NC-RUM30 Hierarchical non-compensatory reparameterized unified model with 30 tasks, loglike Log-likelihood, # Par Number of parameters, AIC Akaike information criterion, BIC Bayesian information criterion, χ2 Chi-square, df Degrees of freedom, p Significance level