Data Simulation Using Multidimensional Item Response Theory

Ackerman, T. A. (2005). Multidimensional item response theory modeling. In A. Maydeu Olivares ve J. J. McArdle (Eds.), Contemporary Psychometrics, 3-26. Mahwah, NJ, Lawrence Erlbaum.

Bock, Baker, F. B. & Kim, S. (2004). Item response theory: Parameter estimation techniques (2nd ed.). New York: Marcel Dekker

Bulut, O., & Sünbül, Ö. (2017). R programlama dili ile madde tepki kuramında monte carlo simülasyon çalışmaları. Journal of Measurement and Evaluation in Education and Psychology, 8(3), 266-287.

Chalmers, R. P. (2012). mirt: A multidimensional item response theory package for the R environment. Journal of Statistical Software, 48(6), 1-29. doi: 10.18637/jss.v048.i06

De Ayala, R. J. (2018). Item response theory and Rasch modeling. In The reviewer’s guide to quantitative methods in the social sciences (pp. 145-163). Routledge.

DeMars, C. E. (2006). Application of the bi‐factor multidimensional item response theory model to testlet‐based tests. Journal of educational measurement, 43(2), 145-168.

DeMars, C. E. (2016). Partially compensatory multidimensional item response theory models: Two alternate model forms. Educational and Psychological Measurement, 76(2), 231-257.

Embretson, S.E., Reise, S.P. (2000). Item response theory for psychologists. London: Lawrence Erlbaum Associates, Publishers.

Hambleton, R. K. & Swaminathan, H. (1985). Item response theory principles and applications. Boston-USA: Kluwer-Nijhoff.

Horn, J. L. (1965). A rationale and test for the number of factors in factor analysis. Psychometrika, 30, 179-185.

Lord, F. M. & Novick, M. R. (1968). Statistical theories of mental test scores. Reading MA: Addison-Welsley Publishing Company.

R Core Team. (2024). R: A language and environment for statistical computing (Version 4.5.1) [Computer software]. R Foundation for Statistical Computing. https://www.r-project.org/

Reckase, M. D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9(4), 401-412.

Reckase, M. D. (2009). Multidimensional item response theory models. In Multidimensional item response theory. Springer, New York, NY.

Revelle, W. (2020). psych: Procedures for psychological, psychometric, and personality research. R package version, 2(5).

Robitzsch, A. (2019). sirt: Supplementary item response theory models. R package version, 3, 6-21.

Rost, J., & Carstensen, C. H. (2002). Multidimensional Rasch measurement via item component models and faceted designs. Applied Psychological Measurement, 26(1), 42-56.

Soguksu, Y. B., Gunes, A. B., & Gurdil, H. (2024). A Comprehensive Guide to Item Recovery Using the Multidimensional Graded Response Model in R. arXiv preprint arXiv:2412.16657.

Spencer, G.S. (2004). The Strength of Multidimensional item response theory in exporing consrtuct space that is multidimensional and corralated (Unpublished doctoral dissertation). Brigam Young University, Brigam.

Sympson, J.B. (1978). A model for testing with multidimensional items. In D. J. Weiss (Ed.), Proceedings of the 1977 Computerized Adaptive Testing Conference, (pp. 82-98). Minneapolis: University of Minnesota, Department of Psychology, Computerized Adaptive Testing Laboratory.

Ripley, B. D. (2002). Modern applied statistics with S. springer.

Wang, W. C., Chen, P. H., & Cheng, Y. Y. (2004). Improving measurement precision of test batteries using multidimensional item response models. Psychological methods, 9(1), 116.

Zhang, B. (2008). Application of unidimensional item response models to tests with items sensitive to secondary dimensions. The journal of experimental Education, 77(2), 147-166.

Ackerman, T. A. (2005). Multidimensional item response theory modeling. In A. Maydeu Olivares ve J. J. McArdle (Eds.), Contemporary Psychometrics, 3-26. Mahwah, NJ, Lawrence Erlbaum.

Bock, Baker, F. B. & Kim, S. (2004). Item response theory: Parameter estimation techniques (2nd ed.). New York: Marcel Dekker

Bulut, O., & Sünbül, Ö. (2017). R programlama dili ile madde tepki kuramında monte carlo simülasyon çalışmaları. Journal of Measurement and Evaluation in Education and Psychology, 8(3), 266-287.

Chalmers, R. P. (2012). mirt: A multidimensional item response theory package for the R environment. Journal of Statistical Software, 48(6), 1-29. doi: 10.18637/jss.v048.i06

De Ayala, R. J. (2018). Item response theory and Rasch modeling. In The reviewer’s guide to quantitative methods in the social sciences (pp. 145-163). Routledge.

DeMars, C. E. (2006). Application of the bi‐factor multidimensional item response theory model to testlet‐based tests. Journal of educational measurement, 43(2), 145-168.

DeMars, C. E. (2016). Partially compensatory multidimensional item response theory models: Two alternate model forms. Educational and Psychological Measurement, 76(2), 231-257.

Embretson, S.E., Reise, S.P. (2000). Item response theory for psychologists. London: Lawrence Erlbaum Associates, Publishers.

Hambleton, R. K. & Swaminathan, H. (1985). Item response theory principles and applications. Boston-USA: Kluwer-Nijhoff.

Horn, J. L. (1965). A rationale and test for the number of factors in factor analysis. Psychometrika, 30, 179-185.

Lord, F. M. & Novick, M. R. (1968). Statistical theories of mental test scores. Reading MA: Addison-Welsley Publishing Company.

R Core Team. (2024). R: A language and environment for statistical computing (Version 4.5.1) [Computer software]. R Foundation for Statistical Computing. https://www.r-project.org/

Reckase, M. D. (1985). The difficulty of test items that measure more than one ability. Applied Psychological Measurement, 9(4), 401-412.

Reckase, M. D. (2009). Multidimensional item response theory models. In Multidimensional item response theory. Springer, New York, NY.

Revelle, W. (2020). psych: Procedures for psychological, psychometric, and personality research. R package version, 2(5).

Robitzsch, A. (2019). sirt: Supplementary item response theory models. R package version, 3, 6-21.

Rost, J., & Carstensen, C. H. (2002). Multidimensional Rasch measurement via item component models and faceted designs. Applied Psychological Measurement, 26(1), 42-56.

Soguksu, Y. B., Gunes, A. B., & Gurdil, H. (2024). A Comprehensive Guide to Item Recovery Using the Multidimensional Graded Response Model in R. arXiv preprint arXiv:2412.16657.

Spencer, G.S. (2004). The Strength of Multidimensional item response theory in exporing consrtuct space that is multidimensional and corralated (Unpublished doctoral dissertation). Brigam Young University, Brigam.

Sympson, J.B. (1978). A model for testing with multidimensional items. In D. J. Weiss (Ed.), Proceedings of the 1977 Computerized Adaptive Testing Conference, (pp. 82-98). Minneapolis: University of Minnesota, Department of Psychology, Computerized Adaptive Testing Laboratory.

Ripley, B. D. (2002). Modern applied statistics with S. springer.

Wang, W. C., Chen, P. H., & Cheng, Y. Y. (2004). Improving measurement precision of test batteries using multidimensional item response models. Psychological methods, 9(1), 116.

Zhang, B. (2008). Application of unidimensional item response models to tests with items sensitive to secondary dimensions. The journal of experimental Education, 77(2), 147-166.