Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking
Stocking–Lord (SL) linking is commonly used for group comparisons based on dichotomous item responses. Recently, the simulation extrapolation (SIMEX) method for SL linking has been introduced within the two-parameter logistic (2PL) model to reduce the bias due to the presence of random differential...
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MDPI AG
2025-01-01
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| Series: | Applied Sciences |
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| Online Access: | https://www.mdpi.com/2076-3417/15/2/901 |
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| author | Alexander Robitzsch |
| author_facet | Alexander Robitzsch |
| author_sort | Alexander Robitzsch |
| collection | DOAJ |
| description | Stocking–Lord (SL) linking is commonly used for group comparisons based on dichotomous item responses. Recently, the simulation extrapolation (SIMEX) method for SL linking has been introduced within the two-parameter logistic (2PL) model to reduce the bias due to the presence of random differential item functioning (DIF). However, the original SIMEX approach can be computationally complex. This article evaluates two computational shortcuts to SIMEX-based SL linking through a simulation study: a quasi-Monte Carlo method that replicates items and a proposal using an approximate noniterative estimation instead of the iterative one in the SIMEX application of SL linking. The results demonstrate that these shortcuts yield linking parameter estimates with comparable statistical properties. |
| format | Article |
| id | doaj-art-2a11ba74e8e9444e90cd2c63c2c8968f |
| institution | Kabale University |
| issn | 2076-3417 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj-art-2a11ba74e8e9444e90cd2c63c2c8968f2025-01-24T13:21:16ZengMDPI AGApplied Sciences2076-34172025-01-0115290110.3390/app15020901Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord LinkingAlexander Robitzsch0IPN—Leibniz Institute for Science and Mathematics Education, Olshausenstraße 62, 24118 Kiel, GermanyStocking–Lord (SL) linking is commonly used for group comparisons based on dichotomous item responses. Recently, the simulation extrapolation (SIMEX) method for SL linking has been introduced within the two-parameter logistic (2PL) model to reduce the bias due to the presence of random differential item functioning (DIF). However, the original SIMEX approach can be computationally complex. This article evaluates two computational shortcuts to SIMEX-based SL linking through a simulation study: a quasi-Monte Carlo method that replicates items and a proposal using an approximate noniterative estimation instead of the iterative one in the SIMEX application of SL linking. The results demonstrate that these shortcuts yield linking parameter estimates with comparable statistical properties.https://www.mdpi.com/2076-3417/15/2/901Stocking–Lord linkingSIMEXitem response modellinking2PL modelapproximation |
| spellingShingle | Alexander Robitzsch Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking Applied Sciences Stocking–Lord linking SIMEX item response model linking 2PL model approximation |
| title | Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking |
| title_full | Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking |
| title_fullStr | Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking |
| title_full_unstemmed | Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking |
| title_short | Implementation Aspects in Simulation Extrapolation-Based Stocking–Lord Linking |
| title_sort | implementation aspects in simulation extrapolation based stocking lord linking |
| topic | Stocking–Lord linking SIMEX item response model linking 2PL model approximation |
| url | https://www.mdpi.com/2076-3417/15/2/901 |
| work_keys_str_mv | AT alexanderrobitzsch implementationaspectsinsimulationextrapolationbasedstockinglordlinking |