Confidence trick: the interpretation of confidence intervals

Foster, Colin (2014) Confidence trick: the interpretation of confidence intervals. Canadian Journal of Science, Mathematics, and Technology Education, 4 (1). pp. 23-34. ISSN 1492-6156

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Abstract

The frequent misinterpretation of the nature of confidence intervals by students has been well documented. This article examines the problem as an aspect of the learning of mathematical definitions and considers the tension between parroting mathematically rigorous, but essentially uninternalized, statements on the one hand and expressing imperfect but developing understandings on the other. A small-scale study among schoolteachers sought comments on four definitions expressing differing understandings of confidence intervals, and these are examined and discussed. The article concludes that some student wordings could be regarded as less inaccurate than they might seem at first sight and presents a case for accepting a wider range of more intuitive understandings as a work in progress.

Item Type: Article
Schools/Departments: University of Nottingham UK Campus > Faculty of Social Sciences > School of Education
Identification Number: https://doi.org/10.1080/14926156.2014.874615
Depositing User: Foster, Dr Colin
Date Deposited: 21 Jan 2015 14:43
Last Modified: 13 Sep 2016 15:05
URI: http://eprints.nottingham.ac.uk/id/eprint/27858

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