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这取决于:条件概率重要性的党派评价。

It depends: Partisan evaluation of conditional probability importance.

机构信息

University of Colorado Boulder, United States.

University of Colorado Boulder, United States.

出版信息

Cognition. 2019 Jul;188:51-63. doi: 10.1016/j.cognition.2019.01.020. Epub 2019 Mar 2.

Abstract

Policies to suppress rare events such as terrorism often restrict co-occurring categories such as Muslim immigration. Evaluating restrictive policies requires clear thinking about conditional probabilities. For example, terrorism is extremely rare. So even if most terrorist immigrants are Muslim-a high "hit rate"-the inverse conditional probability of Muslim immigrants being terrorists is extremely low. Yet the inverse conditional probability is more relevant to evaluating restrictive policies such as the threat of terrorism if Muslim immigration were restricted. We suggest that people engage in partisan evaluation of conditional probabilities, judging hit rates as more important when they support politically prescribed restrictive policies. In two studies, supporters of expelling asylum seekers from Tel Aviv, Israel, of banning Muslim immigration and travel to the United States, and of banning assault weapons judged "hit rate" probabilities (e.g., that terrorists are Muslims) as more important than did policy opponents, who judged the inverse conditional probabilities (e.g., that Muslims are terrorists) as more important. These partisan differences spanned restrictive policies favored by Rightists and Republicans (expelling asylum seekers and banning Muslim travel) and by Democrats (banning assault weapons). Inviting partisans to adopt an unbiased expert's perspective partially reduced these partisan differences. In Study 2 (but not Study 1), partisan differences were larger among more numerate partisans, suggesting that numeracy supported motivated reasoning. These findings have implications for polarization, political judgment, and policy evaluation. Even when partisans agree about what the statistical facts are, they markedly disagree about the relevance of those statistical facts.

摘要

标题:政治立场如何影响人们对条件概率的评估

摘要:为了抑制恐怖主义等罕见事件而制定的政策通常会限制穆斯林移民等相关类别。评估限制性政策需要清晰地思考条件概率。例如,恐怖主义极为罕见。因此,即使大多数恐怖主义移民是穆斯林——“命中率”很高——穆斯林移民是恐怖分子的逆条件概率也极低。然而,逆条件概率对于评估限制政策(如限制穆斯林移民对恐怖主义的威胁)更具相关性。我们建议人们对条件概率进行党派评估,当他们支持政治规定的限制政策时,认为命中率更重要。在两项研究中,支持将以色列特拉维夫的寻求庇护者驱逐出境、禁止穆斯林移民和前往美国、以及禁止攻击性武器的人,比政策反对者更重视“命中率”概率(例如,恐怖分子是穆斯林),而政策反对者更重视逆条件概率(例如,穆斯林是恐怖分子)。这些党派差异跨越了右翼和共和党人(驱逐寻求庇护者和禁止穆斯林旅行)以及民主党人(禁止攻击性武器)支持的限制政策。邀请党派人士采用无偏见的专家观点,部分减少了这些党派差异。在研究 2(但不是研究 1)中,在更精通数字的党派人士中,党派差异更大,这表明数字素养支持动机推理。这些发现对极化、政治判断和政策评估具有影响。即使党派人士对统计事实达成一致,他们对这些统计事实的相关性也存在明显分歧。

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