Abstract
Cognitive diagnostic computerized adaptive testing (CD-CAT) is a popular mode of online testing for cognitive diagnostic assessment (CDA). A key issue in CD-CAT programs is item-selection methods. Existing popular methods can achieve high measurement efficiencies but fail to yield balanced item-bank usage. Diagnostic tests often have low stakes, so item overexposure may not be a major concern. However, item underexposure leads to wasted time and money on item development, and high test overlap leads to intense practice effects, which in turn threaten test validity. The question is how to improve item-bank usage without sacrificing too much measurement precision (i.e., the correct recovery of knowledge states) in CD-CAT, which is the major purpose of this study. We have developed several item-selection methods that successfully meet this goal. In addition, we have investigated the Kullback–Leibler expected discrimination (KL-ED) method that considers only measurement precision except for item-bank usage.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Breithaupt K, Ariel AA, Hare DR (2010) Assembling an inventory of multistage adaptive testing systems. In: van der Linden WJ, Glas CAW (eds) Elements of adaptive testing. Springer, New York, pp 247–266
Chang H-H, Zhang J (2002) Hypergeometric family and item overlap rates in computerized adaptive testing. Psychometrika 67(3):387–398
Chang H-H, Ying Z-L (1996) A global information approach to computerized adaptive testing. Appl Psychol Meas 20(3):213–229
Chang H-H, Ying Z-L (1999) a-stratified multistage computerized adaptive testing. Appl Psychol Meas 23(3):211–222
Chang Y-CI, Lu H-Y (2010) Online calibration via variable length computerized adaptive testing. Psychometrika 75(1):140–157
Chen P, Xin T, Wang C, Chang H-H (2012) On-line calibration methods for the DINA model with independent attributes in CA-CAT. Psychometrika 77(2):201–222
Cheng Y (2009) When cognitive diagnosis meets computerized adaptive testing: CD-CAT. Psychometrika 74(4):619–632
Cheng Y (2010) Improving cognitive diagnostic computerized adaptive testing by balancing attribute coverage: the modified maximum global discrimination index method. Educ Psychol Meas 70(6):902–913
Collins JA, Greer JE, Huang SX (1993) Adaptive assessment using granularity hierarchies and Bayesian nets. Paper presented at the 3rd international conference intelligent tutoring systems
de la Torre J, Douglas J (2004) Higher-order latent trait models for cognitive diagnosis. Psychometrika 69:333–353
Embretson SE (1984) A general latent trait model for response processes. Psychometrika 49(2):175–186
Haertel EH (1989) Using restricted latent class models to map the skill structure of achievement items. J Educ Meas 26(4):301–321
Henson R (2005) Test construction for cognitive diagnosis. Appl Psychol Meas 29(4):262–277
Hsu CL, Wang WC, Chen SY (2013) Variable-length computerized adaptive testing based on cognitive diagnosis models. Appl Psychol Meas 37(7):563–582
Huebner A (2010) An overview of recent developments in cognitive diagnostic computer adaptive assessments. Pract Assess Res Eval 15(3):1–7. Available online: http://pareonline.net/getvn.asp?v=15&n=13
Junker BW, Sijtsma K (2001) Cognitive assessment models with few assumptions, and connections with nonparametric item response theory. Appl Psychol Meas 25:258–272
Leighton JP, Gierl MJ (2007) Why cognitive diagnostic assessment? In: Leighton JP, Gierl MJ (eds) Cognitive diagnostic assessment for education: theory and applications. Cambridge University Press, New York, pp 3–18
Leighton JP, Gierl MJ, Hunka SM (2004) The attribute hierarchy method for cognitive assessment: a variation on Tatsuoka’s rule-space approach. J Educ Meas 41(3):205–237
Lin H-J, Ding S-L (2007) An exploration and realization of computerized adaptive testing with cognitive diagnosis. Acta Psychologica Sinica 39:747–753
Liu H-Y, You X-F, Wang W-Y, Ding S-L, Chang H-H (2013) The development of computerized adaptive testing with cognitive diagnosis for an English achievement test in China. J Clas 30:152–172
McGlohen MK (2004) The application of cognitive diagnosis and computerized adaptive testing to a large-scale assessment. Unpublished Doctorial Dissertation, University of Texas at Austin
McGlohen MK, Chang H-H (2008) Combining computer adaptive testing technology with cognitively diagnostic assessment. Behav Res Methods 40(3):808–821
Millán E, Pérez-de-la-Cruz JL (2002) A Bayesian diagnostic algorithm for student modeling and its evaluation. User Model User-adapt Interact 12:281–330
Quellmalz ES, Pellegrino JW (2009) Technology and testing. Science 323(2):75–79
Representatives, U. S. H. o. (2001) Text of the ‘No Child Left Behind Act’. Public Law No. 107–110, 115 Stat. 1425
Revuelta J, Ponsoda V (1998) A comparison of item exposure control methods in computerized adaptive testing. J Educ Meas 35(4):311–327
Shang Z-Y, Ding S-L (2011) The exploration of item selection strategy of computerized adaptive testing for cognitive diagnosis. J Jiangxi Norm Univ (Nat Sci) 35(4):418–421
Tatsuoka C (2002) Data analytic methods for latent partially ordered classification models. J R Stat Soc: Ser C: Appl Stat 51:337–350
Tatsuoka C, Ferguson T (2003) Sequential classification on partially ordered sets. J R Stat Soc Ser B (Stat Methodol) 65(1):143–157
Tatsuoka KK (1995) Architecture of knowledge structures and cognitive diagnosis: a statistical pattern classification approach. In: Nichols PD, Chipman SF, Brennan RL (eds) Cognitively diagnostic assessments. Erlbaum, Hillsdale, pp 327–359
Tatsuoka KK (2009) Cognitive assessment: an introduction to the rule space method. Taylor & Francis Group, New York
Veldkamp BP, van der Linden WJ (2010) Designing item pools for adaptive testing. In: van der Linden WJ, Glas CAW (eds) Elements of adaptive testing. Springer, New York, pp 231–245
Wang C (2013) Mutual information item selection method in cognitive diagnostic computerized adaptive testing with short test length. Educ Psychol Meas 73(6):1017–1035
Wang C, Chang H-H, Douglas J (2012) Combining CAT with cognitive diagnosis: a weighted item selection approach. Behav Res Methods 44:95–109
Wang C, Chang H-H, Huebner A (2011) Restrictive stochastic item selection methods in cognitive diagnostic computerized adaptive testing. J Educ Meas 48(3):255–273
Wu H-M, Kuo B-C, Yang J-M (2006) Evaluating knowledge structure-based adaptive testing algorithms and system development. Educ Technol Soc 15:73–88
Xu XL, Chang HH, Douglas J (2003) A simulation study to compare CAT strategies for cognitive diagnosis. Paper presented at the annual meeting of the American Educational Research Association, Chicago
Acknowledgments
This work is partially supported by the National Natural Science Foundation of China (30860084, 31160203, 31100756,31360237), the Ministry of Education of Humanities and Social Planning Project of China (13YJC880060), the Specialized Research Fund for the Doctoral Program of Higher Education (20103604110001, 20103604110002, 20113604110001), the Jiangxi Provincial Social Science Planning Project (12JY07), the Jiangxi Provincial Education Planning Project (13YB032), the Jiangxi Provincial Department of Education Science and Technology Project (GJJ11385, GJJ10238, GJJ13207, GJJ13226), and the Jiangxi Normal University Youth Growth Fund. All opinions and conclusions are solely those of the authors. The authors are indebted to the editor and reviewers for their constructive suggestions and comments on the earlier manuscript.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
Wang, W., Ding, S., Song, L. (2015). New Item-Selection Methods for Balancing Test Efficiency Against Item-Bank Usage Efficiency in CD-CAT. In: Millsap, R., Bolt, D., van der Ark, L., Wang, WC. (eds) Quantitative Psychology Research. Springer Proceedings in Mathematics & Statistics, vol 89. Springer, Cham. https://doi.org/10.1007/978-3-319-07503-7_8
Download citation
DOI: https://doi.org/10.1007/978-3-319-07503-7_8
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-07502-0
Online ISBN: 978-3-319-07503-7
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)