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Additivity neglect in probability estimates: Effects of numeracy and response format

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  • Riege, Anine H.
  • Teigen, Karl Halvor

Abstract

When people are asked to estimate the probabilities for an exhaustive set of more than two events, they often produce probabilities that add up to more than 100%. Potential determinants for such additivity neglect are explored in four experiments. Additive responses vary between experimental conditions, mainly as a result of response format, with a scale format leading to fewer additive responses than a list format with self-generated, written probabilities. Participants with high numeracy scores produced more additive responses, especially after being primed with a numeracy scale. Additivity neglect for 100% sums appears to be unrelated to other subadditive judgments, like non-additive disjunctions. We conclude that additivity neglect is caused by a case-based approach, which comes natural in real-life situations where the full set of outcomes is not available.

Suggested Citation

  • Riege, Anine H. & Teigen, Karl Halvor, 2013. "Additivity neglect in probability estimates: Effects of numeracy and response format," Organizational Behavior and Human Decision Processes, Elsevier, vol. 121(1), pages 41-52.
  • Handle: RePEc:eee:jobhdp:v:121:y:2013:i:1:p:41-52
    DOI: 10.1016/j.obhdp.2012.11.004
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    1. Klayman, Joshua & Soll, Jack B. & Gonzalez-Vallejo, Claudia & Barlas, Sema, 1999. "Overconfidence: It Depends on How, What, and Whom You Ask, , , , , , , , ," Organizational Behavior and Human Decision Processes, Elsevier, vol. 79(3), pages 216-247, September.
    2. Michael Theil, 2002. "The role of translations of verbal into numerical probability expressions in risk management: a meta-analysis," Journal of Risk Research, Taylor & Francis Journals, vol. 5(2), pages 177-186, April.
    3. Teigen, Karl Halvor, 2001. "When Equal Chances = Good Chances: Verbal Probabilities and the Equiprobability Effect," Organizational Behavior and Human Decision Processes, Elsevier, vol. 85(1), pages 77-108, May.
    4. Craig R. Fox & Robert T. Clemen, 2005. "Subjective Probability Assessment in Decision Analysis: Partition Dependence and Bias Toward the Ignorance Prior," Management Science, INFORMS, vol. 51(9), pages 1417-1432, September.
    5. Brun, Wibecke & Teigen, Karl Halvor, 1988. "Verbal probabilities: Ambiguous, context-dependent, or both?," Organizational Behavior and Human Decision Processes, Elsevier, vol. 41(3), pages 390-404, June.
    6. Wändi Bruine De Bruin & Charles F. Manski & Giorgio Topa & Wilbert van der Klaauw, 2011. "Measuring consumer uncertainty about future inflation," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(3), pages 454-478, April.
    7. Donald A. Redelmeier & Derek J. Koehler & Varda Liberman & Amos Tversky, 1995. "Probability Judgment in Medicine," Medical Decision Making, , vol. 15(3), pages 227-230, August.
    8. repec:cup:judgdm:v:5:y:2010:i:7:p:467-476 is not listed on IDEAS
    9. repec:cup:judgdm:v:3:y:2008:i:6:p:435-448 is not listed on IDEAS
    10. repec:cup:judgdm:v:4:y:2009:i:1:p:34-40 is not listed on IDEAS
    11. Isaac M. Lipkus & Greg Samsa & Barbara K. Rimer, 2001. "General Performance on a Numeracy Scale among Highly Educated Samples," Medical Decision Making, , vol. 21(1), pages 37-44, February.
    12. repec:cup:judgdm:v:4:y:2009:i:1:p:20-33 is not listed on IDEAS
    13. Yamagishi, Kimihiko, 2002. "Proximity, Compatibility, and Noncomplementarity in Subjective Probability," Organizational Behavior and Human Decision Processes, Elsevier, vol. 87(1), pages 136-155, January.
    14. Craig R. Fox & Amos Tversky, 1998. "A Belief-Based Account of Decision Under Uncertainty," Management Science, INFORMS, vol. 44(7), pages 879-895, July.
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    3. Gro Hege Haraldsen Nordbye & Karl Halvor Teigen, 2014. "Responsibility judgments of wins and losses in the 2013 chess championship," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 9(4), pages 335-348, July.
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    8. Shai Davidai & Thomas Gilovich, 2016. "The tide that lifts all focal boats: Asymmetric predictions of ascent and descent in rankings," Judgment and Decision Making, Society for Judgment and Decision Making, vol. 11(1), pages 7-20, January.

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