Effects on Scale Linking of Different Definitions of Criterion Functions for the Irt Characteristic Curve Methods

Effects on Scale Linking of Different Definitions of Criterion Functions for the Irt Characteristic Curve Methods

Under item response theory, the characteristic curve methods (Haebara and Stocking-Lord methods) are used to link two ability scales from separate calibrations. The linking methods use their respective criterion functions that can be defined differently according to the symmetry- and distribution-re...

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Veröffentlicht in:Journal of Educational and Behavioral Statistics. - SAGE Publishing, 1976. - 32(2007), 4, Seite 371-397
1. Verfasser: Kim, Seonghoon (VerfasserIn)
Weitere Verfasser: Kolen, Michael J.
Format: Online-Aufsatz
Sprache:English
Veröffentlicht: 2007
Zugriff auf das übergeordnete Werk:Journal of Educational and Behavioral Statistics
Schlagworte:item response theory scale linking characteristic curve method criterion function concurrent versus separate calibration Applied sciences Mathematics Behavioral sciences Education
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520 |a Under item response theory, the characteristic curve methods (Haebara and Stocking-Lord methods) are used to link two ability scales from separate calibrations. The linking methods use their respective criterion functions that can be defined differently according to the symmetry- and distribution-related schemes. The symmetry-related scheme relates to which scale, targeted or transformed, should be used for the definition. The distribution-related scheme refers to a way of incorporating underlying ability distributions into the definition. Through simulations, this study examined if a certain optimal combination of the two schemes exists regardless of differences in proficiency distribution between samples involved in scale linking. Concurrent calibration was considered for comparative purposes and, across all nine combinations of proficiency distributions to be linked, its performance was better in linking accuracy than the linking methods. There was no optimal combination of the symmetry- and distribution-related schemes that led to minimal linking error across the nine combinations. 
540 |a Copyright 2007 American Educational Research Association and American Statistical Association 
650 4 |a item response theory 
650 4 |a scale linking 
650 4 |a characteristic curve method 
650 4 |a criterion function 
650 4 |a concurrent versus separate calibration 
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650 4 |a Education  |x Formal education  |x Pedagogy  |x Educational methods  |x Educational testing  |x Test theory  |x Item response theory 
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650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Applied statistics  |x Descriptive statistics  |x Statistical distributions  |x Normal distribution curve  |x Standard deviation 
650 4 |a Mathematics  |x Mathematical expressions  |x Mathematical functions  |x Mathematical transformations 
650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Error rates 
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650 4 |a Behavioral sciences  |x Psychology  |x Applied psychology 
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650 4 |a Mathematics  |x Applied mathematics  |x Statistics  |x Error rates 
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650 4 |a Mathematics  |x Pure mathematics  |x Linear algebra  |x Matrix theory  |x Eigenfunctions 
655 4 |a research-article 
700 1 |a Kolen, Michael J.  |e verfasserin  |4 aut 
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