Differences between probability and frequency judgments: The role of individual differences in working memory capacity☆

Most theories of probability judgment assume that judgments are made by comparing the strength of a focal hypothesis relative to the strength of alternative hypotheses. In contrast, research suggests that frequency judgments are assessed using a non-comparative process; the strength of the focal hypothesis is assessed without comparing it to the strength of alternative hypotheses. We tested this distinction between probability and frequency judgments using the alternative outcomes paradigm (Windschitl, Young, & Jenson, 2002). Assuming that judgments of probability (but not judgments of frequency) entail comparing the focal hypothesis with alternative hypotheses, we hypothesized that probability judgments would be sensitive to the distribution of the alternative hypotheses and would be negatively correlated with individual differences in working memory (WM) capacity. In contrast, frequency judgments should be unrelated to the distribution of the alternatives and uncorrelated with WM-capacity. Results supported the hypotheses.

[1]  Rick P. Thomas,et al.  Organizational Behavior and Human Decision Processes the Role of Mental Simulation in Judgments of Likelihood One Aspect of Simulation That Has Received Relatively , 2022 .

[2]  A. Tversky,et al.  Extensional versus intuitive reasoning: the conjunction fallacy in probability judgment , 1983 .

[3]  T. O. Nelson,et al.  Availability of Information and the Aggregation of Confidence in Prior Decisions , 1996 .

[4]  A. Tversky,et al.  Support theory: A nonextensional representation of subjective probability. , 1994 .

[5]  Thomas S. Wallsten An Analysis of Judgment Research Analyses , 1996 .

[6]  P. C. Price,et al.  Effects of a Relative-Frequency Elicitation Question on Likelihood Judgment Accuracy: The Case of External Correspondence. , 1998, Organizational behavior and human decision processes.

[7]  Gerd Gigerenzer,et al.  How to Improve Bayesian Reasoning Without Instruction: Frequency Formats , 1995 .

[8]  M. Dougherty,et al.  Hypothesis generation, probability judgment, and individual differences in working memory capacity. , 2003, Acta psychologica.

[9]  K. Fiedler,et al.  Two halfs may be more than one whole : category-split effects on frequency illusions , 1994 .

[10]  Douglas L. Hintzman,et al.  Judgments of frequency and recognition memory in a multiple-trace memory model. , 1988 .

[11]  I. Erev,et al.  Simultaneous Over- and Underconfidence: The Role of Error in Judgment Processes. , 1994 .

[12]  K. Fiedler The dependence of the conjunction fallacy on subtle linguistic factors , 1988 .

[13]  M. Dougherty,et al.  Probability judgment and subadditivity: The role of working memory capacity and constraining retrieval , 2003, Memory & cognition.

[14]  Jeffrey M. Stibel,et al.  Frequency illusions and other fallacies , 2003 .

[15]  A. Tversky,et al.  The weighing of evidence and the determinants of confidence , 1992, Cognitive Psychology.

[16]  G. Gigerenzer,et al.  Representation facilitates reasoning: what natural frequencies are and what they are not , 2002, Cognition.

[17]  T. O. Nelson,et al.  Judgments of learning are affected by the kind of encoding in ways that cannot be attributed to the level of recall. , 1995, Journal of experimental psychology. Learning, memory, and cognition.

[18]  David Smith,et al.  Judgments of Frequency and Recency in a Distributed Memory Model. , 2001, Journal of mathematical psychology.

[19]  R. Engle,et al.  Is working memory capacity task dependent , 1989 .

[20]  Janet A. Sniezek,et al.  The effect of choosing on confidence in choice , 1990 .

[21]  A. H. Murphy A New Vector Partition of the Probability Score , 1973 .

[22]  S. Schneider Item Difficulty, Discrimination, and the Confidence-Frequency Effect in a Categorical Judgment Task , 1995 .

[23]  Richard M. Shiffrin,et al.  Modeling memory and perception , 2003, Cogn. Sci..

[24]  I. Erev,et al.  Simultaneous Over- and Underconfidence: The Role of Error in Judgment Processes. , 1994 .

[25]  T. O. Nelson,et al.  Measuring ordinal association in situations that contain tied scores. , 1996, Psychological bulletin.

[26]  G. Wells,et al.  The Alternative-Outcomes Effect , 1998 .

[27]  John Tooby,et al.  Are humans good intuitive statisticians after all , 1996 .

[28]  L. Cosmides,et al.  Are humans good intuitive statisticians after all? Rethinking some conclusions from the literature on judgment under uncertainty , 1996, Cognition.

[29]  C. Gettys,et al.  MINERVA-DM: A memory processes model for judgments of likelihood. , 1999 .

[30]  M. Young,et al.  Likelihood judgment based on previously observed outcomes: the alternative-outcomes effect in a learning paradigm , 2002, Memory & cognition.