Plausible measurement analogies to some psychometric models of test performance

2010/12/07 by Andrew Kyngdon · 1 citation
Decision Sciences · Computer Science · Psychology · Mathematics · #Multi-Criteria Decision Making #Psychometric Methodologies and Testing #Cognitive Science and Mapping #Rasch model #Computer science #Item response theory #Representation (politics) #Axiom #Cognition #Cognitive psychology #Mathematical proof #Reading (process) #Test (biology) #Artificial intelligence #Econometrics #Machine learning #Psychology #Mathematics #Statistics #Psychometrics #Linguistics

paper · doi:10.1348/2044-8317.002004

openalex publication_date 2010/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/05/21

Abstract

Psychometricians hypothesize that cognitive abilities such as reading, writing and spelling are measurable. However, they prefer to model item response probabilities than to study the internal structure of cognitive attributes. The theory of conjoint measurement, via its unique capacity to detect the quantitative structure of non-extensive attributes, can be used for the latter purpose. It is shown that conjoint systems analogous to the numerical composition rules advanced by the Rasch, many facet Rasch and two-parameter logistic models can be formulated using well-established axioms, representation theorems and proofs. Examples using empirical and synthetic data are presented. It was concluded that the lack of descriptive, behavioural theory remains the biggest obstacle to the scientific measurement of cognitive abilities.

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Cited by

• Theory of conjoint measurement [wikipedia]