Štatistické testy normality

• Thesis title in thesis language (Slovak): Štatistické testy normality
• Thesis title in Czech: Statistické testy normality
• Thesis title in English: Statistical tests of normality
• Key words: statistický test|normálne rozdelenie|Gaussovo rozdelenie
• English key words: statistical test|normal distribution|Gaussian distribution
• Academic year of topic announcement: 2022/2023
• Thesis type: Bachelor's thesis
• Thesis language: slovenština
• Department: Department of Probability and Mathematical Statistics (32-KPMS)
• Supervisor: doc. RNDr. Matúš Maciak, Ph.D.
• Author: hidden - assigned and confirmed by the Study Dept.
• Date of registration: 13.10.2022
• Date of assignment: 13.10.2022
• Confirmed by Study dept. on: 29.11.2022
• Date and time of defence: 07.09.2023 09:00
• Date of electronic submission: 20.07.2023
• Date of submission of printed version: 24.07.2023
• Date of proceeded defence: 07.09.2023
• Opponents: doc. Ing. Marek Omelka, Ph.D.

Guidelines

Cieľom práce je teoretické a empirické porovnanie rôznych štatistických testov určených a v praxi používaných pre testovanie nulovej hypotézy o
normálnom rozdelení náhodného výberu. Na základe teoretických a empirických porovnaní budú diskutované základné výhody/nevýhody jednotlivých prístupov.

References

[1] Ghasemi A and Zahediasl S. (2012). "Normality tests for statistical analysis: A guide for non-statisticians". International Journal of Endocrinology and Metabolism, 10(2): 486–489.

[2] Razali, N. and Wah, Y. B. (2011). "Power comparisons of Shapiro–Wilk, Kolmogorov–Smirnov, Lilliefors and Anderson–Darling tests". Journal of Statistical Modeling and Analytics. 2(1): 21–33.

Preliminary scope of work in English

The idea of the thesis is to compare (theoretically as well as empirically) different approaches proposed and commonly used in practice
to test the null hypothesis of the normality of the random sample. Main advantages/disadvantages will be discussed in the thesis.