Abstract
This article compares graphical representations of items and tests for four different multidimensional item response theory (MIRT) models: compensatory logistic model, the noncompensatory logistic model, a noncompensatory diagnostic model (DINA), and a compensatory diagnostic model (CRUM/GDM). Graphical representations can provide greater insight for measurement specialists and item/test developers about the validity and reliability of the multidimensional tests. They also can provide a link between quantitative analyses and substantive interpretations of the score scale and inform the test development process.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Ackerman TA (1994a) Using multidimensional item response theory to understand what items and tests are measuring. Appl Meas Educ 7:255–278
Ackerman TA (1994b) Creating a test information profile in a two-dimensional latent space. Appl Psychol Meas 18:257–275
Ackerman TA (1996) Graphical representation of multidimensional item response theory analyses. Appl Psychol Meas 20(4):311–330
Ackerman T, Gierl M, Walker C (2003) Using multidimensional item response theory to evaluate educational and psychological tests. Educ Meas Issues Pract 22(Fall):37–53
CA-DISSPLA (Version 11) (1987) [Computer software]. Islandia: Computer Associates International, Inc.
Chang HH, Ying Z (1996) A global information approach to computerized adaptive testing. Appl Psychol Meas 20:213–229
Henson R, Douglas J (2005) Test construction for cognitive diagnosis. Appl Psychol Meas 29(4):262–277
Junker B, Sijtsma K (2001) Cognitive assessment models with few assumptions, and connections with nonparametric item response theory. Appl Psychol Meas 25(3):258–272
Reckase MD (1985) The difficulty of test items that measure more than one ability. Appl Psychol Meas 9:401–412
Reckase MD, McKinley RL (1991) The discrimination power of items that measure more than one dimension. Appl Psychol Meas 14:361–373
Rupp A, Templin J, Henson R (2010) Diagnostic measurement theory: methods and applications. Guilford Press, New York
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
Ackerman, T.A., Henson, R.A. (2015). Graphical Representations of Items and Tests That are Measuring Multiple Abilities. 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_7
Download citation
DOI: https://doi.org/10.1007/978-3-319-07503-7_7
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)