Notes on attribution functions. (13th December 2020)

• Record Type: Journal Article
• Authors: Ge, Xun; Lin, Shou
• Is Part Of: British journal of mathematical & statistical psychology. Volume 74(2021)Supplement 1
• Page Start: 131
• Page End: 156
• Publication Date: 2020-12-13
• Subjects: attribution function -- derived knowledge space -- discriminativeness -- resolubility -- merge -- mesh; Psychometrics -- Periodicals; Psychology -- Mathematical models -- Periodicals; Psychology -- Statistical methods -- Periodicals; 150.727
• DOI: 10.1111/bmsp.12220
• Languages: English
• ISSNs: 0007-1102

Abstract

Abstract : Let Q, K σ be the knowledge space derived from an attribution function σ on Q . Under an assumption for σ, this paper gives some necessary and sufficient conditions such that Q, K σ is discriminative. It also discusses the resolubility of σ when Q is an infinite set. More precisely, this paper proves that σ is not resoluble if Q is uncountable, and gives a necessary and sufficient condition such that σ is resoluble when Q, K σ is ∞ ‐well‐graded. By way of applications of these results, discriminativeness and resolubility are discussed around the merge of skill multimaps and the meshing of the delineated knowledge spaces.