Circular statistics: a directional study, via geographic coordinates, of students approved at the Air Cadet Preparatory School

Authors

DOI:

https://doi.org/10.35819/remat2023v9i2id6635

Keywords:

directional average, circular standard deviation, trigonometric functions, circular boxplot

Abstract

Circular statistics has applications in several areas whose data have directions, angles or periodic behavior, such as: direction of migration of animals, winds or geological materials, times of peak traffic or the birth of an insect, in addition to geographic coordinates among others. However, in our daily lives, we can instinctively evaluate, in a wrong way, data with angular characteristics in a classical way, using linear descriptive statistics. Thus, the objective of this work was to study the theory of circular statistics and compare the results with linear descriptive statistics, which is used for data on the real line and contemplated in regular education. In addition, the importance of the study of circular statistics for angular data was highlighted, along with the presentation of circular graphs, with the aid of the software R. For the application of the theory, a set of real data of the geographical coordinates of the cities of origin of students of the Air Cadet Preparatory School (EPCAR) was used, comparing the statistical measures of three different years of entry.

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References

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Published

2023-12-27

Issue

Section

Mathematics

How to Cite

DE PAULA, Elton Weiglas; BRIGHENTI, Carla Regina Guimarães. Circular statistics: a directional study, via geographic coordinates, of students approved at the Air Cadet Preparatory School. REMAT: Revista Eletrônica da Matemática, Bento Gonçalves, RS, Brasil, v. 9, n. 2, p. e3008, 2023. DOI: 10.35819/remat2023v9i2id6635. Disponível em: https://periodicos.ifrs.edu.br/index.php/REMAT/article/view/6635.. Acesso em: 22 nov. 2024.

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