Exploring Alternative Characteristic Curve Approaches to Linking Parameter Estimates from the Generalized Partial Credit Model.
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| Title: | Exploring Alternative Characteristic Curve Approaches to Linking Parameter Estimates from the Generalized Partial Credit Model. |
|---|---|
| Language: | English |
| Authors: | Roberts, James S., Bao, Han, Huang, Chun-Wei, Gagne, Phill |
| Peer Reviewed: | N |
| Page Count: | 49 |
| Publication Date: | 2003 |
| Document Type: | Reports - Research Speeches/Meeting Papers |
| Descriptors: | Estimation (Mathematics), Mathematical Models |
| Abstract: | Characteristic curve approaches for linking parameters from the generalized partial credit model were examined for cases in which common (anchor) items are calibrated separately in two groups. Three of these approaches are simple extensions of the test characteristic curve (TCC), item characteristic curve (ICC), and operating characteristic curve (OCC) methods that have been previously developed for other binary item response models. The ICC approach explicitly provides a symmetric solution for estimating linking constants whereas the TCC and OCC approaches yield an asymmetric solution. Thus, the symmetry of the result is confounded with the type of characteristic curve used to derive the result. New characteristic curve techniques are developed to estimate this confound. Specifically, symmetric versions of the TCC and OCC methods are developed within the context of the generalized partial credit model (GPCM) along with an asymmetric version of the ICC technique. The accuracy of linking constant estimates and the accuracy of rescaled GPCM parameter estimates obtained with each method was examined in a simulation study. The study suggested that the TCC method yields slightly more accurate estimates of linking constants and model parameters as do symmetric, as opposed to asymmetric, solutions. The study suggests that all of the methods yield similar linking results when GPCM parameters are estimated accurately using large samples. (Contains 4 tables, 9 figures, and 13 references.) (Author/SLD) |
| Entry Date: | 2004 |
| Accession Number: | ED476863 |
| Database: | ERIC |
| FullText | Text: Availability: 0 CustomLinks: – Url: https://eric.ed.gov/contentdelivery/servlet/ERICServlet?accno=ED476863 Name: ERIC Full Text Category: fullText Text: Full Text from ERIC |
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| Items | – Name: Title Label: Title Group: Ti Data: Exploring Alternative Characteristic Curve Approaches to Linking Parameter Estimates from the Generalized Partial Credit Model. – Name: Language Label: Language Group: Lang Data: English – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Roberts%2C+James+S%2E%22">Roberts, James S.</searchLink><br /><searchLink fieldCode="AR" term="%22Bao%2C+Han%22">Bao, Han</searchLink><br /><searchLink fieldCode="AR" term="%22Huang%2C+Chun-Wei%22">Huang, Chun-Wei</searchLink><br /><searchLink fieldCode="AR" term="%22Gagne%2C+Phill%22">Gagne, Phill</searchLink> – Name: PeerReviewed Label: Peer Reviewed Group: SrcInfo Data: N – Name: Pages Label: Page Count Group: Src Data: 49 – Name: DatePubCY Label: Publication Date Group: Date Data: 2003 – Name: TypeDocument Label: Document Type Group: TypDoc Data: Reports - Research<br />Speeches/Meeting Papers – Name: Subject Label: Descriptors Group: Su Data: <searchLink fieldCode="DE" term="%22Estimation+%28Mathematics%29%22">Estimation (Mathematics)</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+Models%22">Mathematical Models</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: Characteristic curve approaches for linking parameters from the generalized partial credit model were examined for cases in which common (anchor) items are calibrated separately in two groups. Three of these approaches are simple extensions of the test characteristic curve (TCC), item characteristic curve (ICC), and operating characteristic curve (OCC) methods that have been previously developed for other binary item response models. The ICC approach explicitly provides a symmetric solution for estimating linking constants whereas the TCC and OCC approaches yield an asymmetric solution. Thus, the symmetry of the result is confounded with the type of characteristic curve used to derive the result. New characteristic curve techniques are developed to estimate this confound. Specifically, symmetric versions of the TCC and OCC methods are developed within the context of the generalized partial credit model (GPCM) along with an asymmetric version of the ICC technique. The accuracy of linking constant estimates and the accuracy of rescaled GPCM parameter estimates obtained with each method was examined in a simulation study. The study suggested that the TCC method yields slightly more accurate estimates of linking constants and model parameters as do symmetric, as opposed to asymmetric, solutions. The study suggests that all of the methods yield similar linking results when GPCM parameters are estimated accurately using large samples. (Contains 4 tables, 9 figures, and 13 references.) (Author/SLD) – Name: DateEntry Label: Entry Date Group: Date Data: 2004 – Name: AN Label: Accession Number Group: ID Data: ED476863 |
| PLink | https://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=eric&AN=ED476863 |
| RecordInfo | BibRecord: BibEntity: Languages: – Text: English PhysicalDescription: Pagination: PageCount: 49 Subjects: – SubjectFull: Estimation (Mathematics) Type: general – SubjectFull: Mathematical Models Type: general Titles: – TitleFull: Exploring Alternative Characteristic Curve Approaches to Linking Parameter Estimates from the Generalized Partial Credit Model. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Roberts, James S. – PersonEntity: Name: NameFull: Bao, Han – PersonEntity: Name: NameFull: Huang, Chun-Wei – PersonEntity: Name: NameFull: Gagne, Phill IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 04 Type: published Y: 2003 |
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