课堂中友谊与敌意网络中的受欢迎程度和熵

Popularity and Entropy in Friendship and Enmity Networks in Classrooms.

作者信息

Sánchez-Espinosa Diego B, Hernández-Ramírez Eric, Del Castillo-Mussot Marcelo

机构信息

Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad de México 04510, Mexico.

Instituto de Investigaciones Económicas, Universidad Nacional Autónoma de México, Ciudad de México 04510, Mexico.

出版信息

Entropy (Basel). 2023 Jun 23;25(7):971. doi: 10.3390/e25070971.

Abstract

Looking for regular statistical trends of relations in schools, we constructed 42 independent weighted directed networks of simultaneous friendship and animosity from surveys we made in the Mexico City Metropolitan area in classrooms with students of different ages and levels by asking them to nominate and order five friends and five foes. However, the data show that older students nominated fewer than the five required five foes. Although each classroom was independent of the others, we found several general trends involving students of different ages and grade levels. In all classrooms, friendship entropy was found to be higher than enmity entropy, indicating that fewer students received enmity links than received friendship nominations. Popular agents exhibited more reciprocal nominations among themselves than less popular agents, and opposite-sex friendships increased with age.

摘要

为了寻找学校中人际关系的常规统计趋势,我们根据在墨西哥城大都市区不同年龄和年级的教室里进行的调查构建了42个独立的加权有向网络,这些网络同时包含友谊和敌意关系。我们让学生们提名并排序五个朋友和五个敌人。然而,数据显示年龄较大的学生提名的敌人少于要求的五个。尽管每个教室相互独立,但我们发现了几个涉及不同年龄和年级学生的总体趋势。在所有教室中,友谊熵高于敌意熵,这表明收到敌意链接的学生比收到友谊提名的学生少。受欢迎的学生之间相互提名比不受欢迎的学生更多,并且异性友谊随着年龄增长而增加。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/80e8/10378203/a245c02d686b/entropy-25-00971-g001.jpg

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