1994, Vol. 101, No. 4, 608–631 | Mike Oaksford and Nick Chater
The article by Oaksford and Chater reanalyzes Wason's selection task, a classic test of human reasoning, using a Bayesian model of optimal data selection. This approach contrasts with the traditional falsificationist philosophy of science, which has been criticized for its unrealistic emphasis on experimental falsification. The Bayesian model provides a rational framework that aligns better with human performance on the selection task, suggesting that people's choices are not biased but rather optimized to gain the most information.
The authors derive a rational analysis of the selection task by considering two hypotheses: one assuming a dependency relationship between the variables (if \( p \), then \( q \)) and another assuming independence (\( p \) and \( q \) are independent). They calculate the expected information gain for each card selection, finding that the \( p \) card is the most informative, followed by the \( q \) card, then the \( not-q \) card, and finally the \( not-p \) card. This ordering matches the observed frequencies of card selections.
The model also accounts for the nonindependence of card selections, where similarly valenced cards are often selected together, and dissimilarly valenced cards are selected together. This behavior is explained by the concept of "contrast sets," which are plausible subsets of the complement in a universe of discourse. The model's predictions are validated through meta-analyses of various experimental studies, showing a good fit with the observed data.
Overall, the Bayesian rational analysis suggests that human reasoning in the selection task is adaptive rather than biased, optimizing the expected amount of information gained by turning each card. This approach provides a more realistic and psychologically plausible explanation for human performance on the selection task.The article by Oaksford and Chater reanalyzes Wason's selection task, a classic test of human reasoning, using a Bayesian model of optimal data selection. This approach contrasts with the traditional falsificationist philosophy of science, which has been criticized for its unrealistic emphasis on experimental falsification. The Bayesian model provides a rational framework that aligns better with human performance on the selection task, suggesting that people's choices are not biased but rather optimized to gain the most information.
The authors derive a rational analysis of the selection task by considering two hypotheses: one assuming a dependency relationship between the variables (if \( p \), then \( q \)) and another assuming independence (\( p \) and \( q \) are independent). They calculate the expected information gain for each card selection, finding that the \( p \) card is the most informative, followed by the \( q \) card, then the \( not-q \) card, and finally the \( not-p \) card. This ordering matches the observed frequencies of card selections.
The model also accounts for the nonindependence of card selections, where similarly valenced cards are often selected together, and dissimilarly valenced cards are selected together. This behavior is explained by the concept of "contrast sets," which are plausible subsets of the complement in a universe of discourse. The model's predictions are validated through meta-analyses of various experimental studies, showing a good fit with the observed data.
Overall, the Bayesian rational analysis suggests that human reasoning in the selection task is adaptive rather than biased, optimizing the expected amount of information gained by turning each card. This approach provides a more realistic and psychologically plausible explanation for human performance on the selection task.