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关于因果结构的信息何时能改善统计推理?

When does information about causal structure improve statistical reasoning?

作者信息

McNair Simon, Feeney Aidan

机构信息

a School of Psychology , Queen's University Belfast , Belfast , UK.

出版信息

Q J Exp Psychol (Hove). 2014;67(4):625-45. doi: 10.1080/17470218.2013.821709. Epub 2013 Aug 12.

DOI:10.1080/17470218.2013.821709
PMID:23931633
Abstract

Base rate neglect on the mammography problem can be overcome by explicitly presenting a causal basis for the typically vague false-positive statistic. One account of this causal facilitation effect is that people make probabilistic judgements over intuitive causal models parameterized with the evidence in the problem. Poorly defined or difficult-to-map evidence interferes with this process, leading to errors in statistical reasoning. To assess whether the construction of parameterized causal representations is an intuitive or deliberative process, in Experiment 1 we combined a secondary load paradigm with manipulations of the presence or absence of an alternative cause in typical statistical reasoning problems. We found limited effects of a secondary load, no evidence that information about an alternative cause improves statistical reasoning, but some evidence that it reduces base rate neglect errors. In Experiments 2 and 3 where we did not impose a load, we observed causal facilitation effects. The amount of Bayesian responding in the causal conditions was impervious to the presence of a load (Experiment 1) and to the precise statistical information that was presented (Experiment 3). However, we found less Bayesian responding in the causal condition than previously reported. We conclude with a discussion of the implications of our findings and the suggestion that there may be population effects in the accuracy of statistical reasoning.

摘要

通过明确呈现通常模糊的假阳性统计数据的因果依据,可以克服在乳房X光检查问题上的基础比率忽视现象。对这种因果促进效应的一种解释是,人们会对用问题中的证据进行参数化的直观因果模型进行概率判断。定义不明确或难以映射的证据会干扰这一过程,导致统计推理出现错误。为了评估参数化因果表征的构建是一个直观过程还是深思熟虑的过程,在实验1中,我们将次要负荷范式与典型统计推理问题中是否存在替代原因的操作相结合。我们发现次要负荷的影响有限,没有证据表明关于替代原因的信息能改善统计推理,但有一些证据表明它能减少基础比率忽视错误。在我们没有施加负荷的实验2和实验3中,我们观察到了因果促进效应。因果条件下贝叶斯反应的数量不受负荷的影响(实验1),也不受所呈现的精确统计信息的影响(实验3)。然而,我们发现因果条件下的贝叶斯反应比之前报道的要少。我们最后讨论了我们研究结果的意义,并提出在统计推理准确性方面可能存在群体效应的建议。

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