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Article: A General Method of Empirical Q-matrix Validation

TitleA General Method of Empirical Q-matrix Validation
Authors
Keywordscognitive diagnosis
Issue Date2016
Citation
Psychometrika, 2016, v. 81, n. 2, p. 253-273 How to Cite?
Abstract© 2015, The Psychometric Society.In contrast to unidimensional item response models that postulate a single underlying proficiency, cognitive diagnosis models (CDMs) posit multiple, discrete skills or attributes, thus allowing CDMs to provide a finer-grained assessment of examinees’ test performance. A common component of CDMs for specifying the attributes required for each item is the Q-matrix. Although construction of Q-matrix is typically performed by domain experts, it nonetheless, to a large extent, remains a subjective process, and misspecifications in the Q-matrix, if left unchecked, can have important practical implications. To address this concern, this paper proposes a discrimination index that can be used with a wide class of CDM subsumed by the generalized deterministic input, noisy “and” gate model to empirically validate the Q-matrix specifications by identifying and replacing misspecified entries in the Q-matrix. The rationale for using the index as the basis for a proposed validation method is provided in the form of mathematical proofs to several relevant lemmas and a theorem. The feasibility of the proposed method was examined using simulated data generated under various conditions. The proposed method is illustrated using fraction subtraction data.
Persistent Identifierhttp://hdl.handle.net/10722/228218
ISSN
2015 Impact Factor: 1.831
2015 SCImago Journal Rankings: 2.153

 

DC FieldValueLanguage
dc.contributor.authorde la Torre, Jimmy-
dc.contributor.authorChiu, Chia Yi-
dc.date.accessioned2016-08-01T06:45:29Z-
dc.date.available2016-08-01T06:45:29Z-
dc.date.issued2016-
dc.identifier.citationPsychometrika, 2016, v. 81, n. 2, p. 253-273-
dc.identifier.issn0033-3123-
dc.identifier.urihttp://hdl.handle.net/10722/228218-
dc.description.abstract© 2015, The Psychometric Society.In contrast to unidimensional item response models that postulate a single underlying proficiency, cognitive diagnosis models (CDMs) posit multiple, discrete skills or attributes, thus allowing CDMs to provide a finer-grained assessment of examinees’ test performance. A common component of CDMs for specifying the attributes required for each item is the Q-matrix. Although construction of Q-matrix is typically performed by domain experts, it nonetheless, to a large extent, remains a subjective process, and misspecifications in the Q-matrix, if left unchecked, can have important practical implications. To address this concern, this paper proposes a discrimination index that can be used with a wide class of CDM subsumed by the generalized deterministic input, noisy “and” gate model to empirically validate the Q-matrix specifications by identifying and replacing misspecified entries in the Q-matrix. The rationale for using the index as the basis for a proposed validation method is provided in the form of mathematical proofs to several relevant lemmas and a theorem. The feasibility of the proposed method was examined using simulated data generated under various conditions. The proposed method is illustrated using fraction subtraction data.-
dc.languageeng-
dc.relation.ispartofPsychometrika-
dc.subjectcognitive diagnosis-
dc.titleA General Method of Empirical Q-matrix Validation-
dc.typeArticle-
dc.description.natureLink_to_subscribed_fulltext-
dc.identifier.doi10.1007/s11336-015-9467-8-
dc.identifier.scopuseid_2-s2.0-84928963861-
dc.identifier.volume81-
dc.identifier.issue2-
dc.identifier.spage253-
dc.identifier.epage273-

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