The Useful and Not so Paradoxical Inspection Paradox
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| Title: | The Useful and Not so Paradoxical Inspection Paradox |
|---|---|
| Language: | English |
| Authors: | James E. Marengo (ORCID |
| Source: | International Journal of Mathematical Education in Science and Technology. 2025 56(6):1196-1208. |
| Availability: | Taylor & Francis. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals |
| Peer Reviewed: | Y |
| Page Count: | 13 |
| Publication Date: | 2025 |
| Document Type: | Journal Articles Reports - Descriptive |
| Education Level: | Higher Education Postsecondary Education |
| Descriptors: | Statistics, Mathematics Instruction, Student Projects, Undergraduate Students, Student Research, Mathematical Concepts |
| DOI: | 10.1080/0020739X.2024.2327551 |
| ISSN: | 0020-739X 1464-5211 |
| Abstract: | We offer ways that the inspection paradox can be usefully presented, even in the most elementary statistics courses, and provide guidance about how it can be revisited subsequently in the same course and in succeeding courses. Numerous situations in which the inspection paradox might occur are mentioned, and mathematically simple demonstrations are furnished in order to help convince students of the paradox's veracity. Although remedial actions for the paradox are given, the main point of view is that the two sampling procedures leading to this apparent paradox are simply alternative methods that yield differing, but bona fide, measures and interpretations for the populations from which the data were obtained. Suggestions for student projects and undergraduate research are given. |
| Abstractor: | As Provided |
| Entry Date: | 2025 |
| Accession Number: | EJ1474384 |
| Database: | ERIC |
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| Abstract: | We offer ways that the inspection paradox can be usefully presented, even in the most elementary statistics courses, and provide guidance about how it can be revisited subsequently in the same course and in succeeding courses. Numerous situations in which the inspection paradox might occur are mentioned, and mathematically simple demonstrations are furnished in order to help convince students of the paradox's veracity. Although remedial actions for the paradox are given, the main point of view is that the two sampling procedures leading to this apparent paradox are simply alternative methods that yield differing, but bona fide, measures and interpretations for the populations from which the data were obtained. Suggestions for student projects and undergraduate research are given. |
|---|---|
| ISSN: | 0020-739X 1464-5211 |
| DOI: | 10.1080/0020739X.2024.2327551 |
