Skip to main content
Top
Gepubliceerd in: Quality of Life Research 3/2024

11-11-2023

A random item effects generalized partial credit model with a multiple imputation-based scoring procedure

Auteurs: Sijia Huang, Seungwon Chung, Li Cai

Gepubliceerd in: Quality of Life Research | Uitgave 3/2024

Log in om toegang te krijgen
share
DELEN

Deel dit onderdeel of sectie (kopieer de link)

  • Optie A:
    Klik op de rechtermuisknop op de link en selecteer de optie “linkadres kopiëren”
  • Optie B:
    Deel de link per e-mail

Abstract

Purpose

Random item effects item response theory (IRT) models have received much attention for more than a decade. However, more research is needed on random item effects IRT models for polytomous data. Additionally, to improve the utility of this new class of IRT models, the scoring issue must be addressed.

Methods

We proposed a new random item effects generalized partial credit model (GPCM), which considers both random person and random item and category-specific effects. In addition, we introduced a multiple imputation (MI)-based scoring procedure that applies to various random item effects IRT models. To evaluate the proposed model and scoring procedure, we analyzed data from a Quality of Life (QoL) scale for the Chronically Mentally III and conducted a preliminary simulation study.

Results

In the empirical data analysis, we found that patient scores generated based on the proposed model and scoring procedure were almost identical to those obtained through the conventional GPCM and scoring method. However, the standard errors (SEs) associated with the scores were slightly larger when the proposed approach was utilized. In the simulation study, we observed adequate recovery of the model parameters and patient scores.

Conclusion

The proposed model and MI-based scoring procedure contribute to the literature. The proposed model substantially reduces the number of free parameters in comparison to a conventional GPCM, which can be desired when sample sizes are small, e.g., special populations. In addition, the MI-based scoring procedure addresses the scoring issue and can be easily extended for scoring with other random item effects IRT models.
Bijlagen
Alleen toegankelijk voor geautoriseerde gebruikers
Literatuur
1.
go back to reference Lord, F. M., & Novick, M. R. (1968). Statistical theories of mental test scores. Addison-Wesley. Lord, F. M., & Novick, M. R. (1968). Statistical theories of mental test scores. Addison-Wesley.
4.
go back to reference Thissen, D., & Steinberg, L. (2009). Item response theory. In R. Millsap & A. Maydeu-Olivares (Eds.), The Sage handbook of quantitative methods in psychology (pp. 148–177). Sage.CrossRef Thissen, D., & Steinberg, L. (2009). Item response theory. In R. Millsap & A. Maydeu-Olivares (Eds.), The Sage handbook of quantitative methods in psychology (pp. 148–177). Sage.CrossRef
8.
go back to reference Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee’s ability. In F. M. Lord & M. R. Novick (Eds.), Statistical theories of mental test scores (pp. 395–479). Addison-Wesley. Birnbaum, A. (1968). Some latent trait models and their use in inferring an examinee’s ability. In F. M. Lord & M. R. Novick (Eds.), Statistical theories of mental test scores (pp. 395–479). Addison-Wesley.
30.
go back to reference Wang, W.-C., & Wu, S.-L. (2011). The random-effect generalized rating scale model. Journal of Educational Measurement, 48(4), 441–456.CrossRef Wang, W.-C., & Wu, S.-L. (2011). The random-effect generalized rating scale model. Journal of Educational Measurement, 48(4), 441–456.CrossRef
36.
go back to reference Thissen, D., & Cai, L. (2016). Nominal categories models. Handbook of item response theory (pp. 79–102). Chapman and Hall/CRC. Thissen, D., & Cai, L. (2016). Nominal categories models. Handbook of item response theory (pp. 79–102). Chapman and Hall/CRC.
37.
go back to reference Thissen, D., Cai, L., & Bock, R. D. (2010). The nominal categories item response model. Handbook of polytomous item response theory models (pp. 43–75). Routledge/Taylor & Francis Group. Thissen, D., Cai, L., & Bock, R. D. (2010). The nominal categories item response model. Handbook of polytomous item response theory models (pp. 43–75). Routledge/Taylor & Francis Group.
38.
go back to reference Huang, S. (2021). Estimation of Cross-Classified Multilevel Item Response Theory Models with Metropolis-Hastings Robbins-Monro Algorithm (Publication Number 28547010) [Ph.D., University of California, Los Angeles]. ProQuest Dissertations & Theses Global. Huang, S. (2021). Estimation of Cross-Classified Multilevel Item Response Theory Models with Metropolis-Hastings Robbins-Monro Algorithm (Publication Number 28547010) [Ph.D., University of California, Los Angeles]. ProQuest Dissertations & Theses Global.
50.
go back to reference Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical linear models: Applications and data analysis methods. Sage Publications Inc. Bryk, A. S., & Raudenbush, S. W. (1992). Hierarchical linear models: Applications and data analysis methods. Sage Publications Inc.
51.
go back to reference Enders, C. K. (2010). Applied missing data analysis. Guilford Press. Enders, C. K. (2010). Applied missing data analysis. Guilford Press.
53.
go back to reference Cai, L. (2020). flexMIRT version 3.62: Flexible Multilevel Multidimensional Item Analysis and Test Scoring. Cai, L. (2020). flexMIRT version 3.62: Flexible Multilevel Multidimensional Item Analysis and Test Scoring.
Metagegevens
Titel
A random item effects generalized partial credit model with a multiple imputation-based scoring procedure
Auteurs
Sijia Huang
Seungwon Chung
Li Cai
Publicatiedatum
11-11-2023
Uitgeverij
Springer International Publishing
Gepubliceerd in
Quality of Life Research / Uitgave 3/2024
Print ISSN: 0962-9343
Elektronisch ISSN: 1573-2649
DOI
https://doi.org/10.1007/s11136-023-03551-6

Andere artikelen Uitgave 3/2024

Quality of Life Research 3/2024 Naar de uitgave