Influence of asymmetry in the sample size for the fulfillment of the central limit theorem


Authors

DOI:

https://doi.org/10.22517/23447214.9325

Keywords:

Central Limit Theorem, sampling distributions, asymmetry, goodness of fit tests

Abstract

This paper shows the influence of the asymmetry of a population for the selection of sample sizes to ensure compliance of the Central Limit Theorem. A process simulation was performed using the statistical software R 3.1.0 with different types of continuous populations. The goodness of fit tests of normality Shapiro-Wilk, Lilliefors and Anderson-Darling normality to evaluate different sampling distributions were used. Finally the sample sizes that guarantee according to the asymmetry of Theorem compliance is.

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Author Biographies

Carlos Andrés Tobón Orozco, Universidad Tecnológica de Pereira

Licenciado en Matemáticas y Física

José Rubiel Bedoya Sánchez, Universidad Tecnológica de Pereira

Licenciado en Matemáticas y Física – Magíster en Enseñanza de la Matemática

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Published

2017-12-30

How to Cite

Tobón Orozco, C. A., & Bedoya Sánchez, J. R. (2017). Influence of asymmetry in the sample size for the fulfillment of the central limit theorem. Scientia Et Technica, 22(4), 398–402. https://doi.org/10.22517/23447214.9325

Issue

Vol. 22 No. 4 (2017)

Section

Ciencias Básicas

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