Abstract
This paper presents an approach of progressive levels of inferential reasoning on the Chi-square statistic, going from informal to formal reasoning. The proposal is based on epistemic criteria retrieved from a historical-epistemological study of such statistic and the contributions of statistics education literature on inferential reasoning. In this regard, some theoretical and methodological notions from the onto-semiotic approach were used to identify meanings attributed to the Chi-square statistic throughout its evolution and development. The mathematical characteristics of those meanings are closely linked to the indicators of the levels proposed. The nature of the four levels on the Chi-square statistic allowed us to develop an initial approach to levels of inferential reasoning, which could be applied to other statistics such as z, student’s t and F.
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Article Type: Research Article
EURASIA J Math Sci Tech Ed, 2024, Volume 20, Issue 1, Article No: em2388
https://doi.org/10.29333/ejmste/14119
Publication date: 16 Jan 2024
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How to cite this article
APA
Lugo-Armenta, J. G., & Pino-Fan, L. R. (2024). An approach to inferential reasoning levels on the Chi-square statistic. Eurasia Journal of Mathematics, Science and Technology Education, 20(1), em2388. https://doi.org/10.29333/ejmste/14119
Vancouver
Lugo-Armenta JG, Pino-Fan LR. An approach to inferential reasoning levels on the Chi-square statistic. EURASIA J Math Sci Tech Ed. 2024;20(1):em2388. https://doi.org/10.29333/ejmste/14119
AMA
Lugo-Armenta JG, Pino-Fan LR. An approach to inferential reasoning levels on the Chi-square statistic. EURASIA J Math Sci Tech Ed. 2024;20(1), em2388. https://doi.org/10.29333/ejmste/14119
Chicago
Lugo-Armenta, Jesús Guadalupe, and Luis Roberto Pino-Fan. "An approach to inferential reasoning levels on the Chi-square statistic". Eurasia Journal of Mathematics, Science and Technology Education 2024 20 no. 1 (2024): em2388. https://doi.org/10.29333/ejmste/14119
Harvard
Lugo-Armenta, J. G., and Pino-Fan, L. R. (2024). An approach to inferential reasoning levels on the Chi-square statistic. Eurasia Journal of Mathematics, Science and Technology Education, 20(1), em2388. https://doi.org/10.29333/ejmste/14119
MLA
Lugo-Armenta, Jesús Guadalupe et al. "An approach to inferential reasoning levels on the Chi-square statistic". Eurasia Journal of Mathematics, Science and Technology Education, vol. 20, no. 1, 2024, em2388. https://doi.org/10.29333/ejmste/14119