This article introduces two new item selection methods, the modified posterior-weighted Kullback–Leibler index (MPWKL) and the generalized deterministic inputs, noisy “and” gate (G-DINA) model discrimination index (GDI), that can be used in cognitive diagnosis computerized adaptive testing. The efficiency of the new methods is compared with the posterior-weighted Kullback–Leibler (PWKL) item selection index using a simulation study in the context of the G-DINA model. The impact of item quality, generating models, and test termination rules on attribute classification accuracy or test length is also investigated. The results of the study show that the MPWKL and GDI perform very similarly, and have higher correct attribute classification rates or shorter mean test lengths compared with the PWKL. In addition, the GDI has the shortest implementation time among the three indices. The proportion of item usage with respect to the required attributes across the different conditions is also tracked and discussed.

Cheng, Y. (2009). When cognitive diagnosis meets computerized adaptive testing: CD-CAT. Psychometrika, 74, 619-632.
Google Scholar | Crossref | ISI
Cover, T. M., Thomas, J. A. (1991). Elements of information theory. New York, NY: Wiley.
Google Scholar | Crossref
de la Torre, J. (2009). DINA model and parameter estimation: A didactic. Journal of Educational and Behavioral Statistics, 34, 115-130.
Google Scholar | SAGE Journals | ISI
de la Torre, J. (2011). The generalized DINA model framework. Psychometrika, 76, 179-199.
Google Scholar | Crossref | ISI
de la Torre, J., Chiu, C. Y. (2010, April). General empirical method of Q-Matrix validation. Paper presented at the annual meeting of the National Council on Measurement in Education, Denver, CO.
Google Scholar
de la Torre, J., Hong, Y., Deng, W. (2010). Factors affecting the item parameter estimation and classification accuracy of the DINA model. Journal of Educational Measurement, 47, 227-249.
Google Scholar | Crossref | ISI
Doornik, J. A. (2011). Object-oriented matrix programming using Ox (Version 6.21) [Computer software]. London, England: Timberlake Consultants Press.
Google Scholar
Haertel, E. H. (1989). Using restricted latent class models to map the skill structure of achievement items. Journal of Educational Measurement, 26, 333-352.
Google Scholar | Crossref | ISI
Hsu, C.-L., Wang, W.-C., Chen, S.-Y. (2013). Variable-length computerized adaptive testing based on cognitive diagnosis models. Applied Psychological Measurement, 37, 563-582.
Google Scholar | SAGE Journals | ISI
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.
Google Scholar | SAGE Journals | ISI
Lehmann, E. L., Casella, G. (1998). Theory of point estimation (2nd ed.). New York, NY: Springer.
Google Scholar
McGlohen, M., Chang, H.-H. (2008). Combining computer adaptive testing technology with cognitively diagnostic assessment. Behavior Research Methods, 40, 808-821.
Google Scholar | Crossref | Medline | ISI
Meijer, R. R., Nering, M. L. (1999). Computerized adaptive testing: Overview and introduction. Applied Psychological Measurement, 23, 187-194.
Google Scholar | SAGE Journals | ISI
Tatsuoka, K. (1983). Rule space: An approach for dealing with misconceptions based on item response theory. Journal of Educational Measurement, 20, 345-354.
Google Scholar | Crossref | ISI
Templin, J., Henson, R. (2006). Measurement of psychological disorders using cognitive diagnosis models. Psychological Methods, 11, 287-305.
Google Scholar | Crossref | Medline | ISI
van der Linden, W. J., Glas, C. A. W. (Eds.). (2000). Computerized adaptive testing: Theory and practice. Boston, MA: Kluwer.
Google Scholar | Crossref
Wang, C. (2013). Mutual information item selection method in cognitive diagnostic computerized adaptive testing with short test length. Educational and Psychological Measurement, 73, 1017-1035.
Google Scholar | SAGE Journals | ISI
Wang, C., Chang, H.-H., Huebner, A. (2011). Restrictive stochastic item selection methods in cognitive diagnostic computerized adaptive testing. Journal of Educational Measurement, 48, 255-273.
Google Scholar | Crossref | ISI
Weiss, D. J., Kingsbury, G. G. (1984). Application of computerized adaptive testing to educational problems. Journal of Educational Measurement, 21, 361-375.
Google Scholar | Crossref | ISI
Xu, X., Chang, H.-H., Douglas, J. (2003, April). Computerized adaptive testing strategies for cognitive diagnosis. Paper presented at the annual meeting of National Council on Measurement in Education, Montreal, Quebec, Canada.
Google Scholar
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