Visualizing a bivariate discrete distribution and other distributions derived from it
Fuente:
Wiley Open Access
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Artículo Open Access |
| Publié: |
Wiley
2024
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1867005470774919168 |
|---|---|
| author | Jyotirmoy Sarkar Mamunur Rashid |
| author_facet | Jyotirmoy Sarkar Mamunur Rashid Jyotirmoy Sarkar Mamunur Rashid |
| collection | Wiley Open Access |
| contents | Visualizing a bivariate discrete distribution and other distributions derived from it Jyotirmoy Sarkar Mamunur Rashid Teaching Statistics AbstractA single discrete random variable is depicted by a stick diagram, a 2D picture. Naturally, to visualize a bivariate discrete distribution, one can use a bivariate stick diagram, a 3D picture. Unfortunately, many students have difficulty understanding and processing 3D pictures. Therefore, we construct an alternative 2D disc plot to depict the bivariate distribution of (, ), from which we obtain graphically the conditional distributions of given , and given ; the marginal distributions of , , , . Furthermore, we depict the mean and the standard deviation of each distribution using a single‐headed arrow. We hope these visualizations will help students better comprehend these concepts and avoid some misconceptions. 10.1111/test.12370 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| doi_str_mv | 10.1111/test.12370 |
| format | Artículo Open Access |
| id | wiley_oa_10_1111_test_12370 |
| institution | Wiley Open Access |
| license_str_mv | http://onlinelibrary.wiley.com/termsAndConditions#vor |
| publishDate | 2024 |
| publisher | Wiley |
| record_format | wiley_oa |
| spellingShingle | Visualizing a bivariate discrete distribution and other distributions derived from it Jyotirmoy Sarkar Mamunur Rashid Teaching Statistics Visualizing a bivariate discrete distribution and other distributions derived from it Jyotirmoy Sarkar Mamunur Rashid Teaching Statistics AbstractA single discrete random variable is depicted by a stick diagram, a 2D picture. Naturally, to visualize a bivariate discrete distribution, one can use a bivariate stick diagram, a 3D picture. Unfortunately, many students have difficulty understanding and processing 3D pictures. Therefore, we construct an alternative 2D disc plot to depict the bivariate distribution of (, ), from which we obtain graphically the conditional distributions of given , and given ; the marginal distributions of , , , . Furthermore, we depict the mean and the standard deviation of each distribution using a single‐headed arrow. We hope these visualizations will help students better comprehend these concepts and avoid some misconceptions. 10.1111/test.12370 http://onlinelibrary.wiley.com/termsAndConditions#vor |
| title | Visualizing a bivariate discrete distribution and other distributions derived from it |
| topic | Teaching Statistics |
| url | https://onlinelibrary.wiley.com/doi/10.1111/test.12370 |