Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory
written by
Trevor I. Smith, Philip Eaton, Suzanne White Brahmia, Alexis Olsho, Charlotte Zimmerman, and Andrew Boudreaux
Multiple-choice-multiple-response (MCMR) items allow students to select as many responses as they think are correct to a given question stem. Using MCMR items can provide researchers and instructors with a richer and more complete picture of what students do and do not understand about a particular topic. Interpreting students' MCMR responses is more nuanced than it is for single-response items. Unfortunately, many typical analyses of data from multiple-choice tests assume dichotomously-scored items, which eliminates the possibility of incorporating the rich information from students' response patterns to MCMR items. We present a methodology for using a combination of item response theory models to analyze data from MCMR items. These methods could be applied to inform scoring models that incorporate partial credit for various response patterns.
Physics Education Research Conference 2022
Part of the PER Conference series Grand Rapids, MI: July 13-14, 2022 Pages 432-437
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=16272">Smith, T, P. Eaton, S. White Brahmia, A. Olsho, C. Zimmerman, and A. Boudreaux. "Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory." Paper presented at the Physics Education Research Conference 2022, Grand Rapids, MI, July 13-14, 2022.</a>
![]() T. Smith, P. Eaton, S. White Brahmia, A. Olsho, C. Zimmerman, and A. Boudreaux, , presented at the Physics Education Research Conference 2022, Grand Rapids, MI, 2022, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641).
![]() T. Smith, P. Eaton, S. White Brahmia, A. Olsho, C. Zimmerman, and A. Boudreaux, Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory, presented at the Physics Education Research Conference 2022, Grand Rapids, MI, 2022, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641>.
![]() Smith, T., Eaton, P., White Brahmia, S., Olsho, A., Zimmerman, C., & Boudreaux, A. (2022, July 13-14). Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory. Paper presented at Physics Education Research Conference 2022, Grand Rapids, MI. Retrieved March 25, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641
![]() Smith, T, P. Eaton, S. White Brahmia, A. Olsho, C. Zimmerman, and A. Boudreaux. "Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory." Paper presented at the Physics Education Research Conference 2022, Grand Rapids, MI, July 13-14, 2022. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641 (accessed 25 March 2025).
![]() Smith, Trevor I., Philip Eaton, Suzanne White Brahmia, Alexis Olsho, Charlotte Zimmerman, and Andrew Boudreaux. "Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory." Physics Education Research Conference 2022. Grand Rapids, MI: 2022. 432-437 of PER Conference. 25 Mar. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641>.
![]() @inproceedings{
Author = "Trevor I. Smith and Philip Eaton and Suzanne White Brahmia and Alexis Olsho and Charlotte Zimmerman and Andrew Boudreaux",
Title = {Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory},
BookTitle = {Physics Education Research Conference 2022},
Pages = {432-437},
Address = {Grand Rapids, MI},
Series = {PER Conference},
Month = {July 13-14},
Year = {2022}
}
![]() %A Trevor I. Smith %A Philip Eaton %A Suzanne White Brahmia %A Alexis Olsho %A Charlotte Zimmerman %A Andrew Boudreaux %T Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory %S PER Conference %D July 13-14 2022 %P 432-437 %C Grand Rapids, MI %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641 %O Physics Education Research Conference 2022 %O July 13-14 %O application/pdf ![]() %0 Conference Proceedings %A Smith, Trevor I. %A Eaton, Philip %A White Brahmia, Suzanne %A Olsho, Alexis %A Zimmerman, Charlotte %A Boudreaux, Andrew %D July 13-14 2022 %T Analyzing Multiple-Choice-Multiple-Response Items Using Item Response Theory %B Physics Education Research Conference 2022 %C Grand Rapids, MI %P 432-437 %S PER Conference %8 July 13-14 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16272&DocID=5641 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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