Research on the test structure of the Force Concept Inventory (FCI) has largely been performed with exploratory methods such as factor analysis and cluster analysis. Multidimensional Item Response Theory (MIRT) provides an alternative to traditional exploratory factor analysis which allows statistical testing to identify the optimal number of factors. Application of MIRT to a sample of N = 4716 FCI post-tests identified a 9-factor solution as optimal. Additional analysis showed that a substantial part of the identified factor structure resulted from the practice of using problem blocks and from pairs of similar questions. Applying MIRT to a reduced set of FCI items removing blocked items and repeated items produced a 6-factor solution; however, the factors still had little relation the general structure of Newtonian mechanics. A theoretical model of the FCI was constructed from expert solutions and fit to the FCI by constraining the MIRT parameter matrix to the theoretical model. Variations on the theoretical model were then explored to identify an optimal model. The optimal model supported the differentiation of Newton's 1st and 2nd law; of one-dimensional and three-dimensional kinematics; and of the principle of the addition of forces from Newton's 2nd law. The model suggested by the authors of the FCI was also fit; the optimal MIRT model was statistically superior.
Physical Review Physics Education Research: Volume 14, Issue 1, Pages 010137
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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=14917">Stewart, J, C. Zabriskie, S. DeVore, and G. Stewart. "Multidimensional item response theory and the Force Concept Inventory." Phys. Rev. Phys. Educ. Res. 14, no. 1, (June 13, 2018): 010137.</a>
AIP Format
J. Stewart, C. Zabriskie, S. DeVore, and G. Stewart, , Phys. Rev. Phys. Educ. Res. 14 (1), 010137 (2018), WWW Document, (https://doi.org/10.1103/PhysRevPhysEducRes.14.010137).
AJP/PRST-PER
J. Stewart, C. Zabriskie, S. DeVore, and G. Stewart, Multidimensional item response theory and the Force Concept Inventory, Phys. Rev. Phys. Educ. Res. 14 (1), 010137 (2018), <https://doi.org/10.1103/PhysRevPhysEducRes.14.010137>.
APA Format
Stewart, J., Zabriskie, C., DeVore, S., & Stewart, G. (2018, June 13). Multidimensional item response theory and the Force Concept Inventory. Phys. Rev. Phys. Educ. Res., 14(1), 010137. Retrieved October 31, 2024, from https://doi.org/10.1103/PhysRevPhysEducRes.14.010137
Chicago Format
Stewart, J, C. Zabriskie, S. DeVore, and G. Stewart. "Multidimensional item response theory and the Force Concept Inventory." Phys. Rev. Phys. Educ. Res. 14, no. 1, (June 13, 2018): 010137, https://doi.org/10.1103/PhysRevPhysEducRes.14.010137 (accessed 31 October 2024).
MLA Format
Stewart, John, Cabot Zabriskie, Seth DeVore, and Gay Stewart. "Multidimensional item response theory and the Force Concept Inventory." Phys. Rev. Phys. Educ. Res. 14.1 (2018): 010137. 31 Oct. 2024 <https://doi.org/10.1103/PhysRevPhysEducRes.14.010137>.
BibTeX Export Format
@article{
Author = "John Stewart and Cabot Zabriskie and Seth DeVore and Gay Stewart",
Title = {Multidimensional item response theory and the Force Concept Inventory},
Journal = {Phys. Rev. Phys. Educ. Res.},
Volume = {14},
Number = {1},
Pages = {010137},
Month = {June},
Year = {2018}
}
Refer Export Format
%A John Stewart %A Cabot Zabriskie %A Seth DeVore %A Gay Stewart %T Multidimensional item response theory and the Force Concept Inventory %J Phys. Rev. Phys. Educ. Res. %V 14 %N 1 %D June 13, 2018 %P 010137 %U https://doi.org/10.1103/PhysRevPhysEducRes.14.010137 %O application/pdf
EndNote Export Format
%0 Journal Article %A Stewart, John %A Zabriskie, Cabot %A DeVore, Seth %A Stewart, Gay %D June 13, 2018 %T Multidimensional item response theory and the Force Concept Inventory %J Phys. Rev. Phys. Educ. Res. %V 14 %N 1 %P 010137 %8 June 13, 2018 %U https://doi.org/10.1103/PhysRevPhysEducRes.14.010137 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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The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. Multidimensional item response theory and the Force Concept Inventory:
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