Diagnostic classification tests are designed to assess examinees' discrete mastery status on
a set of skills or attributes. Such tests have gained increasing attention in educational and …

An individual competence is one of the main human resources, which enables a person to
operate in everyday life. A competence profile, formally captured and described as a …

An intelligent tutoring system for learning basic statistics, called Stat-Knowlab, is presented
and analyzed. The algorithms implemented in the system are based on the competence …

Abstract Heller (2021) generalized quasi‐ordinal knowledge spaces to polytomous items.
Inspired by this paper, we propose CD‐polytomous knowledge space and its polytomous …

The objective of an assessment in competence based-knowledge space theory (Cb-KST) is
to infer the skills of an individual from her responses to a subset of problems. A major issue …

Procedural knowledge space theory (PKST) was recently proposed by Stefanutti (British
Journal of Mathematical and Statistical Psychology, 72 (2) 185–218,) for the assessment of …

In the past years, several theories for assessment have been developed within the
overlapping fields of Psychometrics and Mathematical Psychology. The most notable are …

Skills represent the underlying cognitive abilities, which consist in methods, algorithms or
tricks etc. Skills can be used to interpret individuals' knowledge states. A skill map assigns a …

A mantra often repeated in the introductory material to psychometrics and Item Response
Theory (IRT) is that a Rasch model is a probabilistic version of a Guttman scale. The idea …

Compared with typical binary attributes, polytomous attributes can take three or more values
(corresponding to different levels of mastery of a respondent or measurement of an item) …