The equiprobability bias from a mathematical and psychological perspective.

The equiprobability bias from a mathematical and psychological perspective.
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从数学和心理学角度来看的均衡性偏见。

DOI:
10.5709/acp-0163-9
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发表时间:
2014
影响因子:
1.2
通讯作者:
Morsanyi K
Morsanyi K
中科院分区:
心理学4区
文献类型:
--
作者:
Gauvrit N;Morsanyi K

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等概率偏差(EB)是一种倾向,认为涉及随机性的每个过程都对应于公平分布,任何可能的结果都具有相等的概率。众所周知,EB会影响儿童和成人,并随着概率教育而增加。因为它导致的概率错误抵抗教学干预,它已被描述为一个深刻的误解随机性:错误的信念,随机性意味着均匀性。在本文中,我们表明EB实际上并不是随机性定义的概念错误的结果。相反,随机性的数学理论确实意味着一致性。然而,EB仍然是一种偏见,因为即使在事件不是随机的情况下,人们也倾向于假设一致性。EB的普遍性揭示了一个悖论:随机过程的组合不一定是随机的。EB和这个悖论之间的联系进行了讨论,并提出建议,教育设计,以克服学生遇到的困难,作为EB的后果。
The equiprobability bias (EB) is a tendency to believe that every process in which randomness is involved corresponds to a fair distribution, with equal probabilities for any possible outcome. The EB is known to affect both children and adults, and to increase with probability education. Because it results in probability errors resistant to pedagogical interventions, it has been described as a deep misconception about randomness: the erroneous belief that randomness implies uniformity. In the present paper, we show that the EB is actually not the result of a conceptual error about the definition of randomness. On the contrary, the mathematical theory of randomness does imply uniformity. However, the EB is still a bias, because people tend to assume uniformity even in the case of events that are not random. The pervasiveness of the EB reveals a paradox: The combination of random processes is not necessarily random. The link between the EB and this paradox is discussed, and suggestions are made regarding educational design to overcome difficulties encountered by students as a consequence of the EB.
DOI: 10.1093/biomet/80.1.27
发表时间: 1993-03-01
期刊: BIOMETRIKA
影响因子: 2.7
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