Bibliographic Details
| 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] |
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| Database: |
Education Research Complete |