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Analyzing Test-Taking Behavior: Decision Theory Meets Psychometric Theory

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  • David Budescu
  • Yuanchao Bo

Abstract

We investigate the implications of penalizing incorrect answers to multiple-choice tests, from the perspective of both test-takers and test-makers. To do so, we use a model that combines a well-known item response theory model with prospect theory (Kahneman and Tversky, Prospect theory: An analysis of decision under risk, Econometrica 47:263–91, 1979 ). Our results reveal that when test-takers are fully informed of the scoring rule, the use of any penalty has detrimental effects for both test-takers (they are always penalized in excess, particularly those who are risk averse and loss averse) and test-makers (the bias of the estimated scores, as well as the variance and skewness of their distribution, increase as a function of the severity of the penalty). Copyright The Psychometric Society 2015

Suggested Citation

  • David Budescu & Yuanchao Bo, 2015. "Analyzing Test-Taking Behavior: Decision Theory Meets Psychometric Theory," Psychometrika, Springer;The Psychometric Society, vol. 80(4), pages 1105-1122, December.
    • Handle: RePEc:spr:psycho:v:80:y:2015:i:4:p:1105-1122
    DOI: 10.1007/s11336-014-9425-x
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    References listed on IDEAS

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    5. Daniel Kahneman & Amos Tversky, 2013. "Prospect Theory: An Analysis of Decision Under Risk," World Scientific Book Chapters, in: Leonard C MacLean & William T Ziemba (ed.), HANDBOOK OF THE FUNDAMENTALS OF FINANCIAL DECISION MAKING Part I, chapter 6, pages 99-127, World Scientific Publishing Co. Pte. Ltd..
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    7. David Thissen & Lynne Steinberg, 1984. "A response model for multiple choice items," Psychometrika, Springer;The Psychometric Society, vol. 49(4), pages 501-519, December.
    8. María Paz Espinosa & Javier Gardeazabal, 2013. "Do Students Behave Rationally in Multiple Choice Tests? Evidence from a Field Experiment," Journal of Economics and Management, College of Business, Feng Chia University, Taiwan, vol. 9(2), pages 107-135, July.
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    10. Maya Bar-Hillel & David Budescu & Yigal Attali, 2005. "Scoring and keying multiple choice tests: A case study in irrationality," Mind & Society: Cognitive Studies in Economics and Social Sciences, Springer;Fondazione Rosselli, vol. 4(1), pages 3-12, June.
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    Cited by:

    1. Merkle, Edgar C. & Steyvers, Mark & Mellers, Barbara & Tetlock, Philip E., 2017. "A neglected dimension of good forecasting judgment: The questions we choose also matter," International Journal of Forecasting, Elsevier, vol. 33(4), pages 817-832.
    2. Espinosa Maria Paz & Gardeazabal Javier, 2020. "The Gender-bias Effect of Test Scoring and Framing: A Concern for Personnel Selection and College Admission," The B.E. Journal of Economic Analysis & Policy, De Gruyter, vol. 20(3), pages 1-23, July.
    3. Qian Wu & Monique Vanerum & Anouk Agten & Andrés Christiansen & Frank Vandenabeele & Jean-Michel Rigo & Rianne Janssen, 2021. "Certainty-Based Marking on Multiple-Choice Items: Psychometrics Meets Decision Theory," Psychometrika, Springer;The Psychometric Society, vol. 86(2), pages 518-543, June.
    4. Alexis DIRER, 2020. "Efficient scoring of multiple-choice tests," LEO Working Papers / DR LEO 2752, Orleans Economics Laboratory / Laboratoire d'Economie d'Orleans (LEO), University of Orleans.
    5. Pau Balart & Lara Ezquerra & Iñigo Hernandez-Arenaz, 2022. "Framing effects on risk-taking behavior: evidence from a field experiment in multiple-choice tests," Experimental Economics, Springer;Economic Science Association, vol. 25(4), pages 1268-1297, September.

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