Abstract
Cognitive diagnostic computerized adaptive testing (CD-CAT) not only provides useful cognitive diagnostic information measured in psychological or educational assessments, but also obtains great efficiency brought by computerized adaptive testing. At present, there are only a limited numbers of previous studies examining how to optimally construct cognitive diagnostic tests. The cognitive diagnostic discrimination index (CDI) and attribute-level discrimination index (ADI) have been proposed for item selection in cognitive diagnostic tests. Zheng and Chang (Appl Psychol Measure 40:608–624, 2016) proposed the modified version of these two indices, an extension of the Kullback-Leibler (KL) and posterior-weighted KL (PWKL) methods, and suggested that they could be integrated with the constraint management procedure for item selection in CD-CAT. However, the constraint management procedure hasn’t been investigated in CD-CAT yet. Therefore, the aim of this study is two fold (a) to integrate the indices with the constraint management procedure for item selection, and (b) to investigate the efficiency of these item selection methods in CA-CAT. It was found that the constraint-weighted indices performed much better than those without constraint-weighted procedure in terms of constraint management and exposure control while maintaining similar measurement precision.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Chang, H.-H., & Ying, Z. (1996). A global information approach to computerized adaptive testing. Applied Psychological Measurement, 20, 213–229.
Chang, H.-H., & Ying, Z. (1999). a-stratified multistage computerized adaptive testing. Applied Psychological Measurement, 23, 211–222.
Cheng, Y. (2009). When cognitive diagnosis meets computerized adaptive testing: CD-CAT. Psychometrika, 74, 619–632.
Cheng, Y., & Chang, H.-H. (2009). The maximum priority index method for severely constrained item selection in computerized adaptive testing. British Journal of Mathematical and Statistical Psychology, 62, 369–383.
Cheng, Y., Chang, H.-H., Douglas, J., & Guo, F. (2009). Constraint-weighted a-stratification for computerized adaptive testing with nonstatistical constraints: Balancing measurement efficiency and exposure control. Educational and Psychological Measurement, 69, 35–49.
Cheng, Y., Chang, H.-H., & Yi, Q. (2007). Two-phase item selection procedure for flexible content balancing in CAT. Applied Psychological Measurement, 31, 467–482.
Haertel, E. H. (1989). Using restricted latent class models to map the skill structure of achievement items. Journal of Educational Measurement, 26, 301–321.
Hartz, S. M. C. (2002). A Bayesian framework for the unified model for assessing cognitive abilities: Blending theory with practicality. Unpublished doctoral dissertation, University of Illinois at Urbana-Champaign, Champaign, IL.
Henson, R. A., & Douglas, J. (2005). Test construction for cognitive diagnostics. Applied Psychological Measurement, 29, 262–277.
Henson, R. A., Roussos, L., Douglas, J., & He, X. (2008). Cognitive diagnostic attribute-level discrimination indices. Applied Psychological Measurement, 32, 275–288.
Huebner, A. (2010). An overview of recent developments in cognitive diagnostic computer adaptive assessments. Practical Assessment, Research and Evaluation, 15(3), 1–7.
Junker, B. W., & Sijtsma, K. (2001). Cognitive assessment models with few assumptions, and connections with nonparametric item response theory. Applied Psychological Measurement, 25, 258–272.
Kuo, B.-C., Pai, H.-S., & de la Torre, J. (2016). Modified cognitive diagnostic index and modified attribute-level discrimination index for test construction. Applied Psychological Measurement, 40, 315–330.
Mislevy, R., Almond, R., Yan, D., & Steinberg, L. (2000). Bayes nets in educational assessment: Where do the numbers come from? Princeton, NJ: CRESST/Educational Testing Service.
Rupp, A. A., Templin, J., & Henson, R. A. (2010). Diagnostic measurement: Theory, methods, and applications. New York, NY: The Guilford Press.
Su, Y.-H. (2015). The performance of the modified multidimensional priority index for item selection in variable-length MCAT. In L. A. van der Ark, D. M. Bolt, W.-C. Wang, J. A. Douglas, & S.-M. Chow (Eds.), Quantitative psychology research (Vol. 140, pp. 89–97). Switzerland: Springer.
Su, Y.-H. (2016). A comparison of constrained item selection methods in multidimensional computerized adaptive testing. Applied Psychological Measurement, 40(5), 346–360.
Su, Y.-H., & Huang, Y.-L. (2015). Using a modified multidimensional priority index for item selection under within-item multidimensional computerized adaptive testing. In R. E. Millsap, D. M. Bolt, L. A. van der Ark, & W.-C. Wang (Eds.), Quantitative Psychology Research (Vol. 89, pp. 227–242). Switzerland: Springer.
Tatsuoka, K. K. (1983). Rule space: An approach for dealing with misconceptions based on item response theory. Journal of Educational Measurement, 20, 345–354.
Yao, L. (2011, October). Multidimensional CAT item selection procedures with item exposure control and content constraints. Paper presented at the 2011 International Association of Computer Adaptive Testing (IACAT) Conference. Pacific Grove, CA.
Yao, L. (2012). Multidimensional CAT item selection methods for domain scores and composite scores: Theory and Applications. Psychometrika, 77, 495–523.
Yao, L. (2013). Comparing the performance of five multidimensional CAT selection procedures with different stopping rules. Applied Psychological Measurement, 37, 3–23.
Zheng, C., & Chang, H.-H. (2016). High-efficiency response distribution–based item selection algorithms for short-length cognitive diagnostic computerized adaptive testing. Applied Psychological Measurement, 40, 608–624.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this paper
Cite this paper
Su, YH. (2018). Investigating the Constrained-Weighted Item Selection Methods for CD-CAT. In: Wiberg, M., Culpepper, S., Janssen, R., González, J., Molenaar, D. (eds) Quantitative Psychology. IMPS 2017. Springer Proceedings in Mathematics & Statistics, vol 233. Springer, Cham. https://doi.org/10.1007/978-3-319-77249-3_4
Download citation
DOI: https://doi.org/10.1007/978-3-319-77249-3_4
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-77248-6
Online ISBN: 978-3-319-77249-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)