Suppressing natural heuristics by formal instruction: The case of the conjunction fallacy

Abstract A basic principle of probability is the conjunction rule, p( B ) ⩾ p( AB rather, it stems from the absence of generally useful problem-solving designs that bring extensional principles to bear on this class of problem. We predict that when helpful extensional strategies are made available, they should compete well with intensional heuristics. Two experiments were conducted, using as subjects adult women with little mathematical background. In Experiment 1, brief training on concepts of algebra of sets, with examples of their use in solving problems, reduced conjunction-rule violations substantially, compared with a control group. Evidence from similarity judgments suggested that use of the representativeness heuristic was reduced by the training. Experiment 2 confirmed these training effects and also tested the hypothesis that conjunction-rule violations are due to misunderstanding of “B” as “B and not A.” Changes in detailed wording of the propositions to be ranked produced substantial effects on judgment, but the pattern of these effects supported the hypothesis that, for the type of problem used here, most conjunction errors are due to use of representativeness or availability. We conclude that such intensional heuristics can be suppressed when alternative strategies are taught.

[1]  Maya Bar-Hillel,et al.  On the subjective probability of compound events , 1973 .

[2]  Robert P. Abelson,et al.  Conjunctive explanations: When two reasons are better than one. , 1984 .

[3]  Eugene Borgida,et al.  The Conjunction Fallacy , 1984 .

[4]  R. Goldsmith Assessing probabilities of compound events in a judicial context , 1978 .

[5]  Gary L. Wells,et al.  The Conjunction Error and the Representativeness Heuristic , 1985 .

[6]  H. Grice Logic and conversation , 1975 .

[7]  A. Tversky,et al.  Subjective Probability: A Judgment of Representativeness , 1972 .

[8]  D. Krantz,et al.  The use of statistical heuristics in everyday inductive reasoning , 1983 .

[9]  A. Tversky,et al.  On the psychology of prediction , 1973 .

[10]  D. Krantz,et al.  The effects of statistical training on thinking about everyday problems , 1986, Cognitive Psychology.

[11]  Eleanor Rosch,et al.  Principles of Categorization , 1978 .

[12]  J. Frank Yates,et al.  Conjunction errors: Evidence for multiple judgment procedures, including "signed summation" , 1986 .

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

[14]  Robert S. Wyer,et al.  An investigation of the relations among probability estimates , 1976 .

[15]  Charles Stangor,et al.  Why versus how often: Causal reasoning and the incidence of judgmental bias. , 1984 .

[16]  C. E. M. Hansel,et al.  The nature of decisions in gambling: Equivalence of single and compound subjective probabilities , 1957 .