Do errors on classic decision biases happen fast or slow? Numeracy and decision time predict probability matching, sample size neglect, and ratio bias
Open accessAbstract
Higher numeracy is associated with better comprehension and use of numeric information as well as reduced susceptibility to some decision biases. We extended this line of work by showing that increased numeracy predicted probability maximizing (versus matching) as well as a better appreciation of large sample sizes. At the same time, we replicated the findings that the more numerate were less susceptible to the ratio bias and base rate neglect phenomena. Decision time predicted accuracy for the ratio bias, probability matching, and sample size scenarios, but not the base rate scenarios. Interestingly, this relationship between decision time and accuracy was positive for the ratio bias problems, but negative for the probability matching and sample size scenarios. Implications for research on cognitive ability and decision biases are discussed.
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
Greater numeracy predicts a preference for maximizing over matching and over other suboptimal strategies.
“A preference for maximizing over matching (and over other suboptimal strategies) is predicted by greater numeracy (Corser et al., 2024)”
From Probability matching and statistical naïveté (2025) · cites this paper as Corser et al., 2024
The proposed mechanism of statistical naïveté may relate to numeracy, which impacts many judgment and decision-making tasks including probability matching.
“This proposed mechanism may relate to numeracy, which impacts many judgment and decision-making tasks (e.g., ratio bias, denominator neglect, framing effects, gambler's fallacy; e.g., Peters et al., 2006), including probability matching (Corser et al., 2024).”
From Probability matching and statistical naïveté (2025) · cites this paper as Corser et al., 2024
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Cites
An evaluation of dual-process theories of reasoning
Osman, M. (2004) · Psychonomic Bulletin & Review · doi:10.3758/bf03196730 · Cited by 444 · see citing works
Probability matching and strategy availability
J. Koehler, D., & James, G. (2010) · Memory & Cognition · doi:10.3758/mc.38.6.667 · Cited by 85 · see citing works
Flagged first, then by citations
Research works printed but not linked: 50
- Bago, B., & De Neys, W. (2017). Fast logic? Examining the time course assumption of dual process theory. Cognition, 158, 90-109. https://doi.org/10.1016/j.cognition.2016.10.014 · DOI
- Bago, B., & De Neys, W. (2019). The intuitive greater good: Testing the corrective dual process model of moral cognition. Journal of Experimental Psychology: General, 148(10), 1782-1801. https://doi.org/10.1037/xge0000533 · DOI
- Bonner, C., & Newell, B. R. (2010). In conflict with ourselves? An investigation of heuristic and analytic processes in decision making. Memory & Cognition, 38(2), 186-196. https://doi.org/10.3758/MC.38.2.186 · DOI
- Burič, R. (2023). Acquired knowledge and bias susceptibility: Mindware automatization measured with a two-response paradigm and its relationship with conflict detection. Studia Psychologica, 65(4), 320-336. https://doi.org/10.31577/sp.2023.04.883 · DOI
- Cokely, E. T., Feltz, A., Ghazal, S., Allan, J. N., Petrova, D., & Garcia-Retamero, R. (2018). Skilled decision theory: From intelligence to numeracy and expertise. In K. A. Ericsson, R. R. Hoffman, A. Kozbelt, & A. M. Williams (Eds.), The Cambridge handbook of expertise and expert performance (2nd ed., pp. 476-505). https://doi.org/10.1017/9781316480748.026 · DOI
- Cokely, E. T., Galesic, M., Schulz, E., Ghazal, S., & Garcia-Retamero, R. (2012). Measuring risk literacy: The Berlin numeracy test. Judgment and Decision Making, 7(1), 25-47. https://doi.org/10.1017/S1930297500001819 · DOI
- Cokely, E. T., & Kelley, C. M. (2009). Cognitive abilities and superior decision making under risk: A protocol analysis and process model evaluation. Judgment and Decision Making, 4(1), 20-33. https://doi.org/10.1017/S193029750000067X · DOI · Paper page
- Del Missier, F., Mäntylä, T., & De Bruin, W. B. (2012). Decision-making competence, executive functioning, and general cognitive abilities. Journal of Behavioral Decision Making, 25(4), 331-351. https://doi.org/10.1002/bdm.731 · DOI
- De Neys, W. (2023). Advancing theorizing about fast-and-slow thinking. Behavioral and Brain Sciences, 46, Article e111. https://doi.org/10.1017/S0140525X2200142X · DOI
- De Neys, W., & Glumicic, T. (2008). Conflict monitoring in dual process theories of thinking. Cognition, 106(3), 1248-1299. https://doi.org/10.1016/j.cognition.2007.06.002 · DOI
- De Neys, W., & Pennycook, G. (2019). Logic, fast and slow: Advances in dual-process theorizing. Current Directions in Psychological Science, 28(5), 503-509. https://doi.org/10.1177/0963721419855658 · DOI
- Dieckmann, N. F., Slovic, P., & Peters, E. M. (2009). The use of narrative evidence and explicit likelihood by decision makers varying in numeracy. Risk Analysis, 29(10), 1473-1488. https://doi.org/10.1111/j.1539-6924.2009.01279.x · DOI
- Evans, J. S. B., & Stanovich, K. E. (2013). Dual-process theories of higher cognition: Advancing the debate. Perspectives on Psychological Science, 8(3), 223-241. https://doi.org/10.1177/1745691612460685 · DOI · Paper page
- Frederick, S. (2005). Cognitive reflection and decision making. Journal of Economic Perspectives, 19(4), 25-42. https://doi.org/10.1257/089533005775196732 · DOI · Paper page
- Gaissmaier, W., Wilke, A., Scheibehenne, B., McCanney, P., & Barrett, H. C. (2016). Betting on illusory patterns: Probability matching in habitual gamblers. Journal of Gambling Studies, 32(1), 143-156. https://doi.org/10.1007/s10899-015-9539-9 · DOI
- Gal, I., & Baron, J. (1996). Understanding repeated simple choices. Thinking & Reasoning, 2(1), 81-98. https://doi.org/10.1080/135467896394573 · DOI
- Hayes, A. F. (2017). Introduction to mediation, moderation, and conditional process analysis: A regression based approach. The Guilford Press.
- Jasper, J. D., Bhattacharya, C., & Corser, R. (2017). Numeracy predicts more effortful and elaborative search strategies in a complex risky choice context: A process-tracing approach. Journal of Behavioral Decision Making, 30(2), 224-235. https://doi.org/10.1002/bdm.1934 · DOI
- Jasper, J. D., Bhattacharya, C., Levin, I. P., Jones, L., & Bossard, E. (2013). Numeracy as a predictor of adaptive risky decision making. Journal of Behavioral Decision Making, 26(2), 164-173. https://doi.org/10.1002/bdm.1748 · DOI
- Kahneman, D., & Klein, G. (2009). Conditions for intuitive expertise: A failure to disagree. The American Psychologist, 64(6), 515-526. https://doi.org/10.1037/a0016755 · DOI · Paper page
- Kahneman, D., & Tversky, A. (1982). On the study of statistical intuitions. Cognition, 11(2), 123-141. https://doi.org/10.1016/0010-0277(82)90022-1 · DOI
- Keren, G., & Schul, Y. (2009). Two is not always better than one: A critical evaluation of two-system theories. Perspectives on Psychological Science, 4(6), 533-550. https://doi.org/10.1111/j.1745-6924.2009.01164.x · DOI
- Kruglanski, A. W., & Gigerenzer, G. (2011). Intuitive and deliberative judgments are based on common principles. Psychological Review, 118, 97-109. https://doi.org/10.1037/a0020762 · DOI
- Li, Y., Krefeld-Schwalb, A., Wall, D. G., Johnson, E. J., Toubia, O., & Bartels, D. M. (2022). The more you ask, the less you get: When additional questions hurt external validity. Journal of Marketing Research, 59(5), 963-982. https://doi.org/10.1177/00222437211073581 · DOI
- Liberali, J. M., Reyna, V. F., Furlan, S., Stein, L. M., & Pardo, S. T. (2012). Individual differences in numeracy and cognitive reflection, with implications for biases and fallacies in probability judgment. Journal of Behavioral Decision Making, 25(4), 361-381. https://doi.org/10.1002/bdm.752 · DOI
- Lipkus, I. M., Samsa, G., & Rimer, B. K. (2001). General performance on a numeracy scale among highly educated samples. Medical Decision Making, 21(1), 37-44. https://doi.org/10.1177/0272989X0102100105 · DOI
- Markovits, H., de Chantal, P.-L., Brisson, J., Dubé, É., Thompson, V., & Newman, I. (2021). Reasoning strategies predict use of very fast logical reasoning. Memory & Cognition, 49(3), 532-543. https://doi.org/10.3758/s13421-020-01108-3 · DOI
- Mayer, J. D., & Gaschke, Y. N. (1988). The experience and meta-experience mood. Journal of Personality and Social Psychology, 55(1), 102-111. https://doi.org/10.1037/0022-3514.55.1.102 · DOI
- Obrecht, N. A., & Chesney, D. L. (2013). Sample representativeness affects whether judgments are influenced by base rate or sample size. Acta Psychologica, 142(3), 370-382. https://doi.org/10.1016/j.actpsy.2013.01.012 · DOI
- Obrecht, N. A., & Chesney, D. L. (2016). Prompting deliberation increases base-rate use. Judgment and Decision Making, 11(1), 1-6. https://doi.org/10.1017/S1930297500007543 · DOI
- Peters, E. (2012). Beyond comprehension: The role of numeracy in judgments and decisions. Current Directions in Psychological Science, 21(1), 31-35. https://doi.org/10.1177/0963721411429960 · DOI
- Peters, E., Dieckmann, N. F., Vastfjall, D., Mertz, C. K., & Slovic, P. (2009). Bringing meaning to numbers: The impact of evaluative categories on decisions. Journal of Experimental Psychology: Applied, 15(3), 213-227. https://doi.org/10.1037/a0016978 · DOI
- Peters, E., Slovic, P., Västfjäll, D., & Mertz, C. K. (2008). Intuitive numbers guide decisions. Judgment and Decision Making, 3(8), 619- 635. https://doi.org/10.1017/S1930297500001571 · DOI
- Peters, E., Västfjäll, D., Slovic, P., Mertz, C. K., Mazzocco, K., & Dickert, S. (2006). Numeracy and decision making. Psychological Science, 17(5), 407-413. https://doi.org/10.1111/j.1467-9280.2006.01720.x · DOI · Paper page
- Raoelison, M., Boissin, E., Borst, G., & De Neys, W. (2021). From slow to fast logic: The development of logical intuitions. Thinking & Reasoning, 27(4), 599-622. https://doi.org/10.1080/13546783.2021.1885488 · DOI
- Raoelison, M., Thompson, V. A., & De Neys, W. (2020). The smart intuitor: Cognitive capacity predicts intuitive rather than deliberate thinking. Cognition, 204, Article 104381. https://doi.org/10.1016/j.cognition.2020.104381 · DOI
- Rapan, K., & Valerjev, P. (2021). Is automation of statistical reasoning a suitable mindware in a base-rate neglect task? Psihologijske Teme, 30(3), 447-466. https://doi.org/10.31820/pt.30.3.3 · DOI
- Reyna, V. F., & Brainerd, C. J. (2007). The importance of mathematics in health and human judgment: Numeracy, risk communication, and medical decision making. Learning and Individual Differences, 17(2), 147-159. https://doi.org/10.1016/j.lindif.2007.03.010 · DOI
- Rubinstein, A. (2013). Response time and decision making: An experimental study. Judgment and Decision Making, 8(5), 540-551. https://doi.org/10.1017/S1930297500003648 · DOI
- Sinayev, A., & Peters, E. (2015). Cognitive reflection vs. calculation in decision making. Frontiers in Psychology, 6, Article 532. https://doi.org/10.3389/fpsyg.2015.00532 · DOI
- Stanovich, K. E. (2016). The comprehensive assessment of rational thinking. Educational Psychologist, 51(1), 23-34. https://doi.org/10.1080/00461520.2015.1125787 · DOI
- Stanovich, K. E., & West, R. F. (1998). Individual differences in rational thought. Journal of Experimental Psychology: General, 127(2), 161-188. https://doi.org/10.1037/0096-3445.127.2.161 · DOI
- Stanovich, K. E., & West, R. F. (2008). On the relative independence of thinking biases and cognitive ability. Journal of Personality and Social Psychology, 94(4), 672-695. https://doi.org/10.1037/0022-3514.94.4.672 · DOI · Paper page
- Stanovich, K. E., West, R. F., & Toplak, M. E. (2011). The complexity of developmental predictions from dual process models. Developmental Review, 31(2-3), 103-118. https://doi.org/10.1016/j.dr.2011.07.003 · DOI
- Thompson, V. A., & Johnson, S. C. (2014). Conflict, metacognition, and analytic thinking. Thinking & Reasoning, 20(2), 215-244. https://doi.org/10.1080/13546783.2013.869763 · DOI
- Thompson, V. A., Turner, J. A. P., & Pennycook, G. (2011). Intuition, reason, and metacognition. Cognitive Psychology, 63(3), 107-140. https://doi.org/10.1016/j.cogpsych.2011.06.001 · DOI
- Toplak, M. E., West, R. F., & Stanovich, K. E. (2011). The Cognitive Reflection Test as a predictor of performance on heuristics-and- biases tasks. Memory & Cognition, 39(7), 1275-1289. https://doi.org/10.3758/s13421-011-0104-1 · DOI · Paper page
- Weller, J. A., Diekmann, N. F., Tusler, M., Mertz, C. K., Burns, W. J., & Peters, E. (2013). Development and testing of an abbreviated numeracy scale: A Rasch analysis approach. Journal of Behavioral Decision Making, 26(2), 198-212. https://doi.org/10.1002/bdm.1751 · DOI
- White, R., & Nygren, T. (2009). The decision making styles inventory: Analysis of psychometric properties [Poster presentation]. 30th annual conference for the Society of Judgment and Decision Making, Boston, MA, USA.
- Yoon, H., Scopelliti, I., & Morewedge, C. K. (2021). Decision making can be improved through observational learning. Organizational Behavior and Human Decision Processes, 162, 155-188. https://doi.org/10.1016/j.obhdp.2020.10.011 Journal of Numerical Cognition (JNC) is an official journal of the Mathematical Cognition and Learning Society (MCLS). PsychOpen GOLD is a publishing service by Leibniz Institute for Psychology (ZPID), Germany. · DOI
Cited by
Sorted by citations
Probability matching and statistical naïveté
Barlow, M., Doan, T., Friedman, O., & Denison, S. (2025) · Judgment and Decision Making · doi:10.1017/jdm.2025.10014 · Cited by 1 · see citing works
- Authors
- Corser, R., Voss, R. P., & Jasper, J. D.
- Affiliations
- Vanderbilt University (US)
- Purdue University Fort Wayne (US)
- University of Toledo (US)
- Venue
- Journal of Numerical Cognition
- Published
- 2024-11-04
- Volume
- 10
- ISSN
- 2363-8761 (ISSN-L)
- OpenAlex
- W4404046960
- Cited by
- 4
- References
- 2
- Citations by year
- 2026: 2 · 2025: 2
- FWCI
- 1.28
- Type
- journal article
- Language
- en
- Open access
- diamond
- dx.doi.org
- Licence
- Locations
- Journal of Numerical Cognition (publishedVersion, cc-by)
- DOAJ (DOAJ: Directory of Open Access Journals) (submittedVersion)
- PsychOpen Gold (Leibniz Institute for Psychology) (submittedVersion, cc-by)
- Psychology Archives (cc-by)
- Topics
- Social Sciences › Decision Sciences › General Decision Sciences › Decision-Making and Behavioral Economics
- Physical Sciences › Mathematics › Statistics and Probability › Cognitive and developmental aspects of mathematical skills
- Health Sciences › Medicine › Family Practice › Clinical Reasoning and Diagnostic Skills
- Keywords
- numeracy, decision bias, probability matching, ratio bias, base rate neglect, decision time, reaction time (psychology), probability maximization, cognitive ability
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review