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USING INDUCTIVE REASONING TO ADJUST AND REFINE ESTIMATES FOR SAMPLING VARIABILITY.

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Title: USING INDUCTIVE REASONING TO ADJUST AND REFINE ESTIMATES FOR SAMPLING VARIABILITY.
Authors: Miller, Claire1 clairemiller@uga.edu
Source: Conference Papers -- Psychology of Mathematics & Education of North America. 2025, p1713-1721. 9p.
Subject Terms: *Induction (Logic), *Undergraduates, *Statistical literacy, Inferential statistics, Sampling errors, Statistical sampling
People: Peirce, Charles S. (Charles Sanders), 1839-1914
Abstract: To examine the forms of reasoning novice statistics students employed when reasoning about sampling distributions, I used Charles S. Peirce's three classic forms of inferential reasoning--deduction, induction, and abduction--defined by case, rule, and result. In this paper, I report on a subset of these findings. During one task-based interview, I engaged each of 10 undergraduate students in a series of tasks that I designed to investigate their reasoning in a repeated sampling environment when given a population with a known parameter. Findings indicate that inductive reasoning was useful in estimating how far a sample statistic varies from the population parameter, and differences in students' induction revealed different ways of thinking about sampling distributions. [ABSTRACT FROM AUTHOR]
Copyright of Conference Papers -- Psychology of Mathematics & Education of North America is the property of Psychology of Mathematics & Education of North America and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Education Research Complete
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PubType: Conference
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  Data: To examine the forms of reasoning novice statistics students employed when reasoning about sampling distributions, I used Charles S. Peirce's three classic forms of inferential reasoning--deduction, induction, and abduction--defined by case, rule, and result. In this paper, I report on a subset of these findings. During one task-based interview, I engaged each of 10 undergraduate students in a series of tasks that I designed to investigate their reasoning in a repeated sampling environment when given a population with a known parameter. Findings indicate that inductive reasoning was useful in estimating how far a sample statistic varies from the population parameter, and differences in students' induction revealed different ways of thinking about sampling distributions. [ABSTRACT FROM AUTHOR]
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  Data: <i>Copyright of Conference Papers -- Psychology of Mathematics & Education of North America is the property of Psychology of Mathematics & Education of North America and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Text: English
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        PageCount: 9
        StartPage: 1713
    Subjects:
      – SubjectFull: Induction (Logic)
        Type: general
      – SubjectFull: Undergraduates
        Type: general
      – SubjectFull: Statistical literacy
        Type: general
      – SubjectFull: Inferential statistics
        Type: general
      – SubjectFull: Sampling errors
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      – SubjectFull: Statistical sampling
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      – SubjectFull: Peirce, Charles S. (Charles Sanders), 1839-1914
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      – TitleFull: USING INDUCTIVE REASONING TO ADJUST AND REFINE ESTIMATES FOR SAMPLING VARIABILITY.
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              Text: 2025
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