Reasoning levels about sampling notions in university students: an exploratory study with Mexican students

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Eleazar Silvestre Castro
Universidad de Sonora, México
https://orcid.org/0000-0002-9472-483X
Maricela Armenta Castro
Universidad de Sonora, México
https://orcid.org/0000-0002-4992-5763

Abstract

The objective of this study is to characterize the reasoning levels of a sample of university students about notions related to the concept of sampling. For this, we analyze and classify students’ responses to four problems that require them: a definition of the concept of sample, the evaluation of statistical conclusions based on the procedural aspects of sampling, and an understanding of representativeness and sample variability in a probabilistic context. The answers to each problem are ranked using the SOLO Taxonomy. Our results suggest that students adequately characterize the concept of sample, but also that they have considerable difficulties in: correctly applying the part-whole notion that characterizes a sample, identifying the sample size in a given survey, recognizing sampling methods that carry bias and, appropriately link the notions of representativeness and sample variability with a frequentist approach to probability. Results are compared with reference studies and points of attention for the teaching of the topic are discussed.

Item information
Published: Dec 6, 2022
Issue: Vol. 1 No. 1 (2022): Revista de Educación Estadística
Section: Investigación
DOI: https://doi.org/10.29035/redes.1.1.9
Keywords: Sampling, sampling representativeness and sampling variability, reasoning levels, SOLO taxonomy, tertiary statistics

Article Details

How to Cite
Silvestre Castro, E., & Armenta Castro, M. (2022). Reasoning levels about sampling notions in university students: an exploratory study with Mexican students. Revista De Educação Estatística, 1(1), 1-31. https://doi.org/10.29035/redes.1.1.9
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