Estimating Tanks - Communication in Mathematical Statistics

Communication skills are critical for statisticians, but in our curricula emphasis on communication tends to be in applied courses. After providing historical context around the traditional mathematical statistics course, this paper introduces a project for the course allowing students to engage in...

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Main Author: Amy Wagaman
Format: Article
Language:English
Published: Taylor & Francis Group 2025-08-01
Series:Journal of Statistics and Data Science Education
Subjects:
Online Access:https://www.tandfonline.com/doi/10.1080/26939169.2025.2550996
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author Amy Wagaman
author_facet Amy Wagaman
author_sort Amy Wagaman
collection DOAJ
description Communication skills are critical for statisticians, but in our curricula emphasis on communication tends to be in applied courses. After providing historical context around the traditional mathematical statistics course, this paper introduces a project for the course allowing students to engage in writing about theoretical results. This project is one of two used in the course with writing components, and was introduced in the Spring of 2015 and revised for Spring of 2024. The project combines theoretical derivations, computation (via a simulation study) and practice with written communication skills into a single assignment. It was based on the historical German tank problem, estimating the number of tanks, N, produced based on assuming serial numbers on tanks were labeled 1 to N, and sampling a set of k tanks found in the field. Example student work and feedback are included. Students found learning to perform a simulation study particularly useful. Potential adaptations, improvements, and adjustments are discussed for the project.
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institution Kabale University
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publishDate 2025-08-01
publisher Taylor & Francis Group
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series Journal of Statistics and Data Science Education
spelling doaj-art-b8ffd1fd2d454546961dabbd35e2a1e92025-08-25T16:43:37ZengTaylor & Francis GroupJournal of Statistics and Data Science Education2693-91692025-08-0111710.1080/26939169.2025.2550996Estimating Tanks - Communication in Mathematical StatisticsAmy Wagaman0Department of Statistics, Amherst CollegeCommunication skills are critical for statisticians, but in our curricula emphasis on communication tends to be in applied courses. After providing historical context around the traditional mathematical statistics course, this paper introduces a project for the course allowing students to engage in writing about theoretical results. This project is one of two used in the course with writing components, and was introduced in the Spring of 2015 and revised for Spring of 2024. The project combines theoretical derivations, computation (via a simulation study) and practice with written communication skills into a single assignment. It was based on the historical German tank problem, estimating the number of tanks, N, produced based on assuming serial numbers on tanks were labeled 1 to N, and sampling a set of k tanks found in the field. Example student work and feedback are included. Students found learning to perform a simulation study particularly useful. Potential adaptations, improvements, and adjustments are discussed for the project.https://www.tandfonline.com/doi/10.1080/26939169.2025.2550996statistical writingmathematical statistics projects
spellingShingle Amy Wagaman
Estimating Tanks - Communication in Mathematical Statistics
Journal of Statistics and Data Science Education
statistical writing
mathematical statistics projects
title Estimating Tanks - Communication in Mathematical Statistics
title_full Estimating Tanks - Communication in Mathematical Statistics
title_fullStr Estimating Tanks - Communication in Mathematical Statistics
title_full_unstemmed Estimating Tanks - Communication in Mathematical Statistics
title_short Estimating Tanks - Communication in Mathematical Statistics
title_sort estimating tanks communication in mathematical statistics
topic statistical writing
mathematical statistics projects
url https://www.tandfonline.com/doi/10.1080/26939169.2025.2550996
work_keys_str_mv AT amywagaman estimatingtankscommunicationinmathematicalstatistics