The Evidence for Efficacy of HPV Vaccines: Investigations in Categorical Data Analysis

Gibbs, Alison L.; Goossens, Emery T.

doi:10.1080/10691898.2013.11889688

Cited by 2 publications

(4 citation statements)

References 5 publications

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“…In this study, we could not observe the application of the Chi-square statistic with the continuity correction factor. This situation is similar to other studies that propose activities to work the Chi-square tests with students [61][62][63][64]. For example, Gibbs and Goossens [64] talk about the relevance of the continuity correction factor and that it is usually not used when working with software because some (e.g., Minitab) do not have the option to use this factor.…”

Section: Final Reflectionssupporting

confidence: 68%

“…This situation is similar to other studies that propose activities to work the Chi-square tests with students [61][62][63][64]. For example, Gibbs and Goossens [64] talk about the relevance of the continuity correction factor and that it is usually not used when working with software because some (e.g., Minitab) do not have the option to use this factor. Therefore, it is necessary to understand this property/proposition and what is behind the processes or procedures performed by some software in data analysis.…”

Section: Final Reflectionssupporting

confidence: 68%

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Inferential Reasoning of Secondary School Mathematics Teachers on the Chi-Square Statistic

Lugo-Armenta

Pino-Fan

2021

Mathematics

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Statistics education has investigated how to promote formal inferential reasoning from informal inferential reasoning. Nevertheless, there is still a need for proposals that explore and progressively develop inferential reasoning of students and teachers. Concerning this, the objective of this article is to characterize the inferential reasoning that secondary school mathematics teachers show in the practices that they develop to solve problems regarding the Chi-square statistic. To achieve this, we use theoretical and methodological notions introduced by the onto-semiotic approach of mathematics knowledge and instruction. In particular, we have taken a theoretical proposal of levels of inferential reasoning for the Chi-square statistic. Based on the results, the main conclusion was that the proposal above effectively predicted the teachers’ practices, allowing us to distinguish characteristic elements of the levels of inferential reasoning.

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Section: Final Reflectionssupporting

confidence: 68%

Section: Final Reflectionssupporting

confidence: 68%

Inferential Reasoning of Secondary School Mathematics Teachers on the Chi-Square Statistic

Lugo-Armenta

Pino-Fan

2021

Mathematics

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“…In this sense, diverse authors (e.g., Woodard et al 2020;Fellers and Kuiper 2020;DePaolo et al 2016;Seier 2014;Gibbs and Goossens 2013;Leigh and Dowling 2010), have reported activities or problems proposals with the finality to make more accessible the study of the 2 tests, goodness-of-fit, independence, and homogeneity, which correspond to the problem areas presented in the previous section. However, commonly, in these investigations, the last partial meanings of each problem area (i.e., PM3, PM7 y PM11) were used.…”

Section: Incidence Of Partial Meanings Identified For the Statistical Education Researchmentioning

confidence: 99%

“…In the same sense, Gibbs and Goossens (2013) propose to analyze a dataset about the efficacy of HPV vaccines with the 2 homogeneity test. An analysis of the activity statement and solution, in terms of the meanings proposed here, allow revealing the primary mathematical objects that correspond to PM11.…”

Section: Incidence Of Partial Meanings Identified For the Statistical Education Researchmentioning

confidence: 99%

Chi-square Reference Meanings: a Historical-epistemological Overview

Lugo-Armenta

Pino-Fan

Hernández

2021

Revemop

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The present article shows a historical-epistemological study on the Chi-square statistic. In which theoretical-methodological notions from the Onto-Semiotic Approach (OSA) of mathematical cognition and instruction were used to identify four problems that have been key to the evolution of the Chi-square statistic: the Goodness-of-fit-test, the test of independence, the test of homogeneity and distribution. Furthermore, various meanings of the Chi-square statistic were recognized in the mathematical-statistical practices that are used to solve each of those problems. These meanings could help to establish epistemic criteria that allow, on the one hand, to propose progressive levels of inferential reasoning for the statistic (from informal to formal); and on the other hand, to design tasks oriented to promote the understanding of the diverse meanings of the Chi-square.

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The Evidence for Efficacy of HPV Vaccines: Investigations in Categorical Data Analysis

Cited by 2 publications

References 5 publications

Inferential Reasoning of Secondary School Mathematics Teachers on the Chi-Square Statistic

Inferential Reasoning of Secondary School Mathematics Teachers on the Chi-Square Statistic

Chi-square Reference Meanings: a Historical-epistemological Overview

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