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Review article

Distribution normality testing in the studies of education and upbringing

Siniša Opić   ORCID icon orcid.org/0000-0001-9800-0145 ; Učiteljski fakultet Sveučilišta u Zagrebu

Fulltext: croatian, pdf (1008 KB) pages 181-197 downloads: 911* cite
APA 6th Edition
Opić, S. (2011). Testiranje normalnosti distribucije u istraživanjima odgoja i obrazovanja. Školski vjesnik, 60 (2.), 181-197. Retrieved from https://hrcak.srce.hr/82182
MLA 8th Edition
Opić, Siniša. "Testiranje normalnosti distribucije u istraživanjima odgoja i obrazovanja." Školski vjesnik, vol. 60, no. 2., 2011, pp. 181-197. https://hrcak.srce.hr/82182. Accessed 7 Dec. 2021.
Chicago 17th Edition
Opić, Siniša. "Testiranje normalnosti distribucije u istraživanjima odgoja i obrazovanja." Školski vjesnik 60, no. 2. (2011): 181-197. https://hrcak.srce.hr/82182
Harvard
Opić, S. (2011). 'Testiranje normalnosti distribucije u istraživanjima odgoja i obrazovanja', Školski vjesnik, 60(2.), pp. 181-197. Available at: https://hrcak.srce.hr/82182 (Accessed 07 December 2021)
Vancouver
Opić S. Testiranje normalnosti distribucije u istraživanjima odgoja i obrazovanja. Školski vjesnik [Internet]. 2011 [cited 2021 December 07];60(2.):181-197. Available from: https://hrcak.srce.hr/82182
IEEE
S. Opić, "Testiranje normalnosti distribucije u istraživanjima odgoja i obrazovanja", Školski vjesnik, vol.60, no. 2., pp. 181-197, 2011. [Online]. Available: https://hrcak.srce.hr/82182. [Accessed: 07 December 2021]

Abstracts
Distribution normality testing, including the homogeneity of variance, is an inevitable parameter in the studies of education and upbringing due to the choice of certain statistic parametric or non-parametric tests for hypotheses testing. However, it has been unjustifiably excluded which can eventually cause distorted results (generalizations). The work describes statistic values of normal distribution and its modalities: kurtosis and skewness. It also describes other theoretical distributions which are often seen in the studies of education and upbringing: Poisson, uniform, t-distribution, hi-square and U-distribution. The tests for distribution normality have been as well elaborated: Kolmogorov-Smirnov test (K-S), Lilliefors test, Shapiro-Wilks test Anderson-Darling Normality Test.
As an empirical evaluation of statistically significant values of parametric and non-parametric statistics, the statistical values of ANOVA and its non-parametric double Kruskal-Wallis test have been compared. The normalization tests, i.e. the transformation values due to the improvement of distribution normality have been partially emphasized. There is a theorem in inferential statistics which contributes to making conclusions through the application of parametric statistics, even if normal distribution does not occur, i.e. the central border theorem. Its role in the study of education and upbringing has been specifically described.

Keywords
data distribution; normal distribution; kurtosis; skewness; normality evaluation tests; transformations; central border

Hrčak ID: 82182

URI
https://hrcak.srce.hr/82182

[croatian]

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