title: On the Link between Cognitive Diagnostic Models and Knowledge Space Theory.
abstract: The present work explores the connections between cognitive diagnostic models (CDM) and knowledge space theory (KST) and shows that these two quite distinct approaches overlap. It is proved that in fact the Multiple Strategy DINA (Deterministic Input Noisy AND-gate) model and the CBLIM, a competence-based extension of the basic local independence model (BLIM), are equivalent. To demonstrate the benefits that arise from integrating the two theoretical perspectives, it is shown that a fairly complete picture on the identifiability of these models emerges by combining results from both camps. The impact of the results is illustrated by an empirical example, and topics for further research are pointed out.
authors.affiliation: Department of Psychology, University of Tübingen, Schleichstr. 4, 72076 , Tübingen, Germany. juergen.heller@uni-tuebingen.de.
authors.forename: Jürgen
authors.initials: J
authors.lastname: Heller
authors.affiliation: University of Padova, Padova, Italy.
authors.forename: Luca
authors.initials: L
authors.lastname: Stefanutti
authors.affiliation: University of Padova, Padova, Italy.
authors.forename: Pasquale
authors.initials: P
authors.lastname: Anselmi
authors.affiliation: University of Padova, Padova, Italy.
authors.forename: Egidio
authors.initials: E
authors.lastname: Robusto
mesh_terms: D000465:Algorithms; D003071:Cognition; D006801:Humans; D015233:Models, Statistical; D011594:Psychometrics / Q000706:statistics & numerical data
keywords: DINA; DINO; MS-DINA; knowledge structure; latent class model; local identifiability; problem function; skill function; skill multimap
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