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Base rate neglect is a specific form of the more general extension neglect. It is also called the prosecutor's fallacy or defense attorney's fallacy when applied to the results of statistical tests (such as DNA tests) in the context of law proceedings.
The following are forms of extension neglect: Base rate fallacy or base rate neglect, the tendency to ignore general information and focus on information only pertaining to the specific case, even when the general information is more important. [47]
Base rates may be neglected more often when the information presented is not causal. [17] Base rates are used less if there is relevant individuating information. [18] Groups have been found to neglect base rate more than individuals do. [19] Use of base rates differs based on context. [20]
For example, if the control group, using no treatment at all, had their own base rate of 1/20 recoveries within 1 day and a treatment had a 1/100 base rate of recovery within 1 day, we see that the treatment actively decreases the recovery. The base rate is an important concept in statistical inference, particularly in Bayesian statistics. [2]
Base rate fallacy – making a probability judgment based on conditional probabilities, without taking into account the effect of prior probabilities. [ 6 ] Conjunction fallacy – the assumption that an outcome simultaneously satisfying multiple conditions is more probable than an outcome satisfying a single one of them.
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In another example of near-total neglect of probability, Rottenstreich and Hsee (2001) found that the typical subject was willing to pay $10 to avoid a 99% chance of a painful electric shock, and $7 to avoid a 1% chance of the same shock. They suggest that probability is more likely to be neglected when the outcomes are emotion-arousing.