Popularity and Entropy in Friendship and Enmity Networks in Classrooms
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 nomin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-06-01
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| Series: | Entropy |
| Subjects: | |
| Online Access: | https://www.mdpi.com/1099-4300/25/7/971 |
| _version_ | 1827733129890103296 |
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| author | Diego B. Sánchez-Espinosa Eric Hernández-Ramírez Marcelo del Castillo-Mussot |
| author_facet | Diego B. Sánchez-Espinosa Eric Hernández-Ramírez Marcelo del Castillo-Mussot |
| author_sort | Diego B. Sánchez-Espinosa |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T01:06:43Z |
| format | Article |
| id | doaj.art-5a926157064d48d2b0726b9d24b931e8 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-11T01:06:43Z |
| publishDate | 2023-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-5a926157064d48d2b0726b9d24b931e82023-11-18T19:12:47ZengMDPI AGEntropy1099-43002023-06-0125797110.3390/e25070971Popularity and Entropy in Friendship and Enmity Networks in ClassroomsDiego B. Sánchez-Espinosa0Eric Hernández-Ramírez1Marcelo del Castillo-Mussot2Facultad de Ciencias, Universidad Nacional Autónoma de México, Ciudad de México 04510, MexicoInstituto de Investigaciones Económicas, Universidad Nacional Autónoma de México, Ciudad de México 04510, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Ciudad de México 04510, MexicoLooking 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.https://www.mdpi.com/1099-4300/25/7/971popularityfriendship networksenmity networksweighted networkslocal entropy |
| spellingShingle | Diego B. Sánchez-Espinosa Eric Hernández-Ramírez Marcelo del Castillo-Mussot Popularity and Entropy in Friendship and Enmity Networks in Classrooms Entropy popularity friendship networks enmity networks weighted networks local entropy |
| title | Popularity and Entropy in Friendship and Enmity Networks in Classrooms |
| title_full | Popularity and Entropy in Friendship and Enmity Networks in Classrooms |
| title_fullStr | Popularity and Entropy in Friendship and Enmity Networks in Classrooms |
| title_full_unstemmed | Popularity and Entropy in Friendship and Enmity Networks in Classrooms |
| title_short | Popularity and Entropy in Friendship and Enmity Networks in Classrooms |
| title_sort | popularity and entropy in friendship and enmity networks in classrooms |
| topic | popularity friendship networks enmity networks weighted networks local entropy |
| url | https://www.mdpi.com/1099-4300/25/7/971 |
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