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- Publisher Website: 10.1007/s00357-019-09325-5
- Scopus: eid_2-s2.0-85069716171
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Article: Adjusting Person Fit Index for Skewness in Cognitive Diagnosis Modeling
Title | Adjusting Person Fit Index for Skewness in Cognitive Diagnosis Modeling |
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Authors | |
Keywords | Aberrant response patterns Cognitive diagnosis models Cornish-Fisher expansion Edgeworth expansion Person fit |
Issue Date | 2020 |
Publisher | Springer New York LLC. |
Citation | Journal of Classification, 2020, v. 37, p. 399-420 How to Cite? |
Abstract | Because the validity of diagnostic information generated by cognitive diagnosis models (CDMs) depends on the appropriateness of the estimated attribute profiles, it is imperative to ensure the accurate measurement of students’ test performance by conducting person fit (PF) evaluation to avoid flawed remediation measures. The standardized log-likelihood statistic lZ has been extended to the CDM framework. However, its null distribution is found to be negatively skewed. To address this issue, this study applies different methods of adjusting the skewness of lZ that have been proposed in the item response theory context, namely, χ2-approximation, Cornish-Fisher expansion, and Edgeworth expansion to bring its null distribution closer to the standard normal distribution. The skewness-corrected PF statistics are investigated by calculating their type I error and detection rates using a simulation study. Fraction-subtraction data are also used to illustrate the application of these PF statistics. © 2019, The Classification Society. |
Persistent Identifier | http://hdl.handle.net/10722/274090 |
ISSN | 2023 Impact Factor: 1.8 2023 SCImago Journal Rankings: 0.488 |
ISI Accession Number ID |
DC Field | Value | Language |
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dc.contributor.author | Santos, KCP | - |
dc.contributor.author | de la Torre, J | - |
dc.contributor.author | von Davier, M | - |
dc.date.accessioned | 2019-08-18T14:54:51Z | - |
dc.date.available | 2019-08-18T14:54:51Z | - |
dc.date.issued | 2020 | - |
dc.identifier.citation | Journal of Classification, 2020, v. 37, p. 399-420 | - |
dc.identifier.issn | 0176-4268 | - |
dc.identifier.uri | http://hdl.handle.net/10722/274090 | - |
dc.description.abstract | Because the validity of diagnostic information generated by cognitive diagnosis models (CDMs) depends on the appropriateness of the estimated attribute profiles, it is imperative to ensure the accurate measurement of students’ test performance by conducting person fit (PF) evaluation to avoid flawed remediation measures. The standardized log-likelihood statistic lZ has been extended to the CDM framework. However, its null distribution is found to be negatively skewed. To address this issue, this study applies different methods of adjusting the skewness of lZ that have been proposed in the item response theory context, namely, χ2-approximation, Cornish-Fisher expansion, and Edgeworth expansion to bring its null distribution closer to the standard normal distribution. The skewness-corrected PF statistics are investigated by calculating their type I error and detection rates using a simulation study. Fraction-subtraction data are also used to illustrate the application of these PF statistics. © 2019, The Classification Society. | - |
dc.language | eng | - |
dc.publisher | Springer New York LLC. | - |
dc.relation.ispartof | Journal of Classification | - |
dc.rights | This is a post-peer-review, pre-copyedit version of an article published in [insert journal title]. The final authenticated version is available online at: http://dx.doi.org/[insert DOI] | - |
dc.subject | Aberrant response patterns | - |
dc.subject | Cognitive diagnosis models | - |
dc.subject | Cornish-Fisher expansion | - |
dc.subject | Edgeworth expansion | - |
dc.subject | Person fit | - |
dc.title | Adjusting Person Fit Index for Skewness in Cognitive Diagnosis Modeling | - |
dc.type | Article | - |
dc.identifier.email | de la Torre, J: jdltorre@hku.hk | - |
dc.identifier.authority | de la Torre, J=rp02159 | - |
dc.description.nature | link_to_subscribed_fulltext | - |
dc.identifier.doi | 10.1007/s00357-019-09325-5 | - |
dc.identifier.scopus | eid_2-s2.0-85069716171 | - |
dc.identifier.hkuros | 302285 | - |
dc.identifier.hkuros | 317588 | - |
dc.identifier.volume | 37 | - |
dc.identifier.spage | 399 | - |
dc.identifier.epage | 420 | - |
dc.identifier.isi | WOS:000547896300009 | - |
dc.publisher.place | United States | - |
dc.identifier.issnl | 0176-4268 | - |