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Power law distribution in education: University entrance examination

机译:教育中的幂律分布:高考

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We studied the statistical distribution of candidate's performance which is measured through their marks in university entrance examination (Vestibular) of UNESP (Universidade Estadual Paulista) for years 1998, 1999, and 2000. All students are divided in three groups: Physical, Biological and Humanities. We paid special attention to the examination of Portuguese language which is common for all and examinations for the particular area. We observed long ubiquitous power law tails in Physical and Biological sciences. This indicate the presence of strong positive feedback in sciences. We are able to explain completely these statistical distributions through Gradually Truncated Power law distributions which we developed recently to explain statistical behavior of financial market. The statistical distribution in case of Portuguese language and humanities is close to normal distribution. We discuss the possible reason for this peculiar behavior. [References: 20]
机译:我们研究了通过1998年,1999年和2000年UNESP(Universidade Estadual Paulista)大学入学考试(前庭)的考生成绩的统计分布。所有学生分为三类:物理,生物学和人文学科。我们特别注意葡萄牙语考试,这对所有人来说都是很普遍的,并且是针对特定地区的考试。我们在物理和生物科学中观察到了很长的普遍存在的幂律尾巴。这表明科学中存在强烈的积极反馈。我们能够通过最近被截断的幂次幂定律分布完全解释这些统计分布,这是我们为解释金融市场的统计行为而开发的。葡萄牙语和人文学科的统计分布接近于正态分布。我们讨论了这种特殊行为的可能原因。 [参考:20]

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