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A Three-Parameter Speeded Item Response Model: Estimation and Application

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Quantitative Psychology Research

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 167))

Abstract

When given time constraints, it is possible that examinees leave the harder items till later and are not able to finish answering every item in time. In this paper, this situation was modeled by incorporating a speeded-effect term into a three-parameter logistic item response model. Due to the complexity of the likelihood structure, a Bayesian estimation procedure with Markov chain Monte Carlo method was presented. The methodology is applied to physics examination data of the Department Required Test for college entrance in Taiwan for illustration.

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Acknowledgements

The research was supported by Academia Sinica and the Ministry of Science and Technology of the Republic of China under grant number MOST 102-2118-M-001 -007 -MY2. The authors would like to thank the co-editor, Professor Wen-Chung Wang, and Dr. Yu-Wei Chang for their helpful comments and suggestions, and the College Entrance Examination Center (CEEC) for providing the data.

Author information

Authors and Affiliations

  1. Department of Economics, The University of Texas at Austin, 2225 Speedway, BRB 1.116, C3100, Austin, Texas, 78712, USA

    Joyce Chang

  2. Institute of Statistical Science, Academia Sinica, 128 Academia Road, Section 2, Nangang District, Taipei, 11529, Taiwan

    Henghsiu Tsai

  3. Department of Psychology, National Chung Cheng University, 168 University Rd., Chia-Yi, Min-Hsiung, 62102, Taiwan

    Ya-Hui Su

  4. Institute of Finance, National Chiao Tung University, 1001 University Road, Hsinchu, 300, Taiwan

    Edward M. H. Lin

Authors
  1. Joyce Chang
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  2. Henghsiu Tsai
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  3. Ya-Hui Su
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  4. Edward M. H. Lin
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Corresponding author

Correspondence to Ya-Hui Su .

Editor information

Editors and Affiliations

  1. University of Amsterdam, Amsterdam, The Netherlands

    L. Andries van der Ark

  2. University of Wisconsin, Madison, Wisconsin, USA

    Daniel M. Bolt

  3. Education University of Hong Kong, Hong Kong, China

    Wen-Chung Wang

  4. University of Illinois, Champaign, Illinois, USA

    Jeffrey A. Douglas

  5. Umeå University, Umeå, Sweden

    Marie Wiberg

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© 2016 Springer International Publishing Switzerland

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Chang, J., Tsai, H., Su, YH., Lin, E.M.H. (2016). A Three-Parameter Speeded Item Response Model: Estimation and Application. In: van der Ark, L., Bolt, D., Wang, WC., Douglas, J., Wiberg, M. (eds) Quantitative Psychology Research. Springer Proceedings in Mathematics & Statistics, vol 167. Springer, Cham. https://doi.org/10.1007/978-3-319-38759-8_3

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