Skip to main content
Log in

Interpreting Model Comparison Requires Understanding Model-Stimulus Relationships

  • Original Paper
  • Published:
Computational Brain & Behavior Aims and scope Submit manuscript

Abstract

Lee et al. (Computational Brain & Behavior, 2019) discuss ways to improve research practices for evaluating quantitative cognitive models. We propose the additional research practices of careful consideration, documentation, and analysis of the stimuli used to generate responses. Current modeling practice too often fails to acknowledge how the stimuli used to generate responses from research participants can influence the results of model comparisons. We recommend researchers (a) disclose how the research stimuli were selected and (b) uncover and report the diagnosticity of the stimuli for the models being tested. To demonstrate the importance of this recommendation, we present lessons learned from model testing in judgment and decision-making research. We focus on the documentation and reporting of model-stimulus relationships, specifically diagnosticity, and demonstrate how transparent documentation of diagnosticity facilitates interpretation of the evidence it generates. We conclude with recommendations regarding research tools available to achieve these goals.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2

Similar content being viewed by others

Notes

  1. Note that this differs from ecological representativeness, mentioned above.

References

  • Birnbaum, M. H. (2008). Evaluation of the priority heuristic as a descriptive model of risky decision making: comment on Brandstätter, Gigerenzer, and Hertwig (2006). Psychological Review, 115(1), 253–260.

    Article  Google Scholar 

  • Birnbaum, M. (2011). Testing theories of risky decision making via critical tests. Frontiers in Psychology, 2, 315.

    Article  Google Scholar 

  • Brandstätter, E., Gigerenzer, G., & Hertwig, R. (2006). The priority heuristic: making choices without trade-offs. Psychological Review, 113(2), 409–432.

    Article  Google Scholar 

  • Broomell, S. B., Budescu, D. V., & Por, H. H. (2011). Pair-wise comparisons of multiple models. Judgment and Decision making, 6(8), 821–831.

    Google Scholar 

  • Broomell, S. B., & Bhatia, S. (2014). Parameter recovery for decision modeling using choice data. Decision, 1(4), 252–274.

    Article  Google Scholar 

  • Brunswik, E. (1955). Representative design and probabilistic theory in a functional psychology. Psychological Review, 62(3), 193–217.

    Article  Google Scholar 

  • Cavagnaro, D. R., Myung, J. I., Pitt, M. A., & Kujala, J. V. (2010). Adaptive design optimization: a mutual information-based approach to model discrimination in cognitive science. Neural Computation, 22(4), 887–905.

    Article  Google Scholar 

  • Dzhafarov, E. N. (2003). Selective influence through conditional independence. Psychometrika, 68(1), 7–25.

    Article  Google Scholar 

  • Fischhoff, B. (1991). Value elicitation: is there anything in there? American Psychologist, 46, 835–847.

    Article  Google Scholar 

  • Fox, C. R., & Hadar, L. (2006). “Decisions from experience”= sampling error+ prospect theory: reconsidering Hertwig, Barron, Weber & Erev (2004). Judgment and Decision making, 1(2), 159–161.

  • Glöckner, A., & Betsch, T. (2008). Do people make decisions under risk based on ignorance? An empirical test of the priority heuristic against cumulative prospect theory. Organizational Behavior and Human Decision Processes, 107(1), 75–95.

    Article  Google Scholar 

  • Glöckner, A., Hilbig, B. E., Henninger, F., & Fiedler, S. (2016). The reversed description-experience gap: disentangling sources of presentation format effects in risky choice. Journal of Experimental Psychology: General, 145(4), 486–508.

    Article  Google Scholar 

  • Hau, R., Pleskac, T. J., Kiefer, J., & Hertwig, R. (2008). The description–experience gap in risky choice: the role of sample size and experienced probabilities. Journal of Behavioral Decision Making, 21(5), 493–518.

    Article  Google Scholar 

  • Hertwig, R., Barron, G., Weber, E. U., & Erev, I. (2004). Decisions from experience and the effect of rare events in risky choice. Psychological Science, 15(8), 534–539.

    Article  Google Scholar 

  • Jekel, M., Fiedler, S., & Glöckner, A. (2011). Diagnostic task selection for strategy classification in judgment and decision making: theory, validation, and implementation in R. Judgment and Decision making, 6(8), 782–799.

    Google Scholar 

  • Kahneman, D., & Tversky, A. (1979). Prospect theory: an analysis of decision under risk. Econometrica, 47, 263–292.

    Article  Google Scholar 

  • Kellen, D., Pachur, T., & Hertwig, R. (2016). How (in) variant are subjective representations of described and experienced risk and rewards? Cognition, 157, 126–138.

    Article  Google Scholar 

  • Kim, W., Pitt, M. A., Lu, Z. L., Steyvers, M., & Myung, J. I. (2014). A hierarchical adaptive approach to optimal experimental design. Neural Computation, 26(11), 2465–2492.

    Article  Google Scholar 

  • Lee, M. D., Criss, A. H., Devezer, B., Donkin, C., Etz, A., Leite, F. P., Matzke, D., Rouder, J. N., Trueblood, J. S., White, C. N., & Vandekerckhove, J. (2019). Robust modeling in cognitive science. Computational Brain & Behavior. https://doi.org/10.1007/s42113-019-00029-y.

  • Myung, J. I., & Pitt, M. A. (2009). Optimal experimental design for model discrimination. Psychological Review, 116(3), 499–518.

    Article  Google Scholar 

  • Navarro, D. J. (2019). Between the devil and the deep blue sea: tensions between scientific judgement and statistical model selection. Computational Brain & Behavior, 2(1), 28–34.

    Google Scholar 

  • Navarro, D. J., Myung, I. J., Pitt, M. A., & Kim, W. (2002). Global model analysis by landscaping. Proceedings of the 25th annual conference of the cognitive science society.

  • Navarro, D. J., Pitt, M. A., & Myung, I. J. (2004). Assessing the distinguishability of models and the informativeness of data. Cognitive Psychology, 49(1), 47–84.

    Article  Google Scholar 

  • von Neumann, J., & Morgenstern, O. (1947). Theory of Games and Economic Behavior, 2nd rev. Princeton University Press. Princeton, NJ.

  • Pfeiffer, J., Duzevik, D., Rothlauf, F., Bonabeau, E., & Yamamoto, K. (2015). An optimized design of choice experiments: a new approach for studying decision behavior in choice task experiments. Journal of Behavioral Decision Making, 28(3), 262–280.

    Article  Google Scholar 

  • Pitt, M. A., Kim, W., Navarro, D. J., & Myung, J. I. (2006). Global model analysis by parameter space partitioning. Psychological Review, 113(1), 57–83.

    Article  Google Scholar 

  • Rieskamp, J. (2008). The probabilistic nature of preferential choice. Journal of Experimental Psychology: Learning, Memory, and Cognition, 34, 1146–1465.

    Google Scholar 

  • Roberts, S., & Pashler, H. (2000). How persuasive is a good fit? A comment on theory testing. Psychological Review, 107(2), 358–367.

    Article  Google Scholar 

  • Roberts, S., & Pashler, H. (2002). Reply to Rodgers and Rowe (2002). Psychological Review, 109(3), 605–607.

    Article  Google Scholar 

  • Steegen, S., Tuerlinckx, F., & Vanpaemel, W. (2017). Using parameter space partitioning to evaluate a model’s qualitative fit. Psychonomic Bulletin & Review, 24(2), 617–631.

    Article  Google Scholar 

  • Townsend, J. T., & Nozawa, G. (1995). Spatio-temporal properties of elementary perception: an investigation of parallel, serial, and coactive theories. Journal of Mathematical Psychology, 39(4), 321–359.

    Article  Google Scholar 

  • Ungemach, C., Chater, N., & Stewart, N. (2009). Are probabilities overweighted or underweighted when rare outcomes are experienced (rarely)? Psychological Science, 20(4), 473–479.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Stephen B. Broomell.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Broomell, S.B., Sloman, S.J., Blaha, L.M. et al. Interpreting Model Comparison Requires Understanding Model-Stimulus Relationships. Comput Brain Behav 2, 233–238 (2019). https://doi.org/10.1007/s42113-019-00052-z

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42113-019-00052-z

Keywords

Navigation