dc.contributor.advisor | Maciak, Matúš | |
dc.creator | Krupa, Tomáš | |
dc.date.accessioned | 2023-11-06T14:26:41Z | |
dc.date.available | 2023-11-06T14:26:41Z | |
dc.date.issued | 2023 | |
dc.identifier.uri | http://hdl.handle.net/20.500.11956/184327 | |
dc.description.abstract | The aim of this paper is to present the well-known normality tests used in practice and to compare them. The first chapter consists of the basic concepts and properties of the nor- mal distribution. In the second chapter 6 normality tests are treated, namely Kolmogorov- Smirnov, Lilliefors, Shapiro-Wilk, Anderson-Darling, D'Agostino-Pearson and Jarque- Bera. For each test, test statistic and shape of critical region are given, among others. The third chapter, with empirical study, contains two parts. In the first part, nature of the study is briefly explained and level of significance declared by tests is empirically-checked. In the second part, power of tests is empirically compared against various alternatives and the results are discussed. 1 | en_US |
dc.description.abstract | Cieľom tejto práce je predstaviť známe, v praxi používané testy normality a porovnať ich. Prvá kapitola pozostáva zo základných pojmov a vlastnosti normálneho rozdelenia. V druhej kapitole je spracovaných 6 testov normality, konkréte Kolmogorov-Smirnov, Lilliefors, Shapiro-Wilk, Anderson-Darling, D'Agostino-Pearson a Jarque-Bera. Pre každý test je okrem iného uvedená testová štatistika a tvar kriticého oboru. Tretia kapitola s empirickou štúdiou obsahuje dve časti. V prvej časti je stručne vysvetlený charakter štúdie a empiricky skontrolovaná deklarovaná hladina testov. V druhej časti je empiricky porovnaná sila testov proti rôznym alternatívam a diskusia výsledkov. 1 | cs_CZ |
dc.language | Slovenčina | cs_CZ |
dc.language.iso | sk_SK | |
dc.publisher | Univerzita Karlova, Matematicko-fyzikální fakulta | cs_CZ |
dc.subject | statistický test|normálne rozdelenie|Gaussovo rozdelenie | cs_CZ |
dc.subject | statistical test|normal distribution|Gaussian distribution | en_US |
dc.title | Štatistické testy normality | sk_SK |
dc.type | bakalářská práce | cs_CZ |
dcterms.created | 2023 | |
dcterms.dateAccepted | 2023-09-07 | |
dc.description.department | Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
dc.description.department | Department of Probability and Mathematical Statistics | en_US |
dc.description.faculty | Matematicko-fyzikální fakulta | cs_CZ |
dc.description.faculty | Faculty of Mathematics and Physics | en_US |
dc.identifier.repId | 250752 | |
dc.title.translated | Statistical tests of normality | en_US |
dc.title.translated | Statistické testy normality | cs_CZ |
dc.contributor.referee | Omelka, Marek | |
thesis.degree.name | Bc. | |
thesis.degree.level | bakalářské | cs_CZ |
thesis.degree.discipline | Obecná matematika | cs_CZ |
thesis.degree.discipline | General Mathematics | en_US |
thesis.degree.program | Obecná matematika | cs_CZ |
thesis.degree.program | General Mathematics | en_US |
uk.thesis.type | bakalářská práce | cs_CZ |
uk.taxonomy.organization-cs | Matematicko-fyzikální fakulta::Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
uk.taxonomy.organization-en | Faculty of Mathematics and Physics::Department of Probability and Mathematical Statistics | en_US |
uk.faculty-name.cs | Matematicko-fyzikální fakulta | cs_CZ |
uk.faculty-name.en | Faculty of Mathematics and Physics | en_US |
uk.faculty-abbr.cs | MFF | cs_CZ |
uk.degree-discipline.cs | Obecná matematika | cs_CZ |
uk.degree-discipline.en | General Mathematics | en_US |
uk.degree-program.cs | Obecná matematika | cs_CZ |
uk.degree-program.en | General Mathematics | en_US |
thesis.grade.cs | Dobře | cs_CZ |
thesis.grade.en | Good | en_US |
uk.abstract.cs | Cieľom tejto práce je predstaviť známe, v praxi používané testy normality a porovnať ich. Prvá kapitola pozostáva zo základných pojmov a vlastnosti normálneho rozdelenia. V druhej kapitole je spracovaných 6 testov normality, konkréte Kolmogorov-Smirnov, Lilliefors, Shapiro-Wilk, Anderson-Darling, D'Agostino-Pearson a Jarque-Bera. Pre každý test je okrem iného uvedená testová štatistika a tvar kriticého oboru. Tretia kapitola s empirickou štúdiou obsahuje dve časti. V prvej časti je stručne vysvetlený charakter štúdie a empiricky skontrolovaná deklarovaná hladina testov. V druhej časti je empiricky porovnaná sila testov proti rôznym alternatívam a diskusia výsledkov. 1 | cs_CZ |
uk.abstract.en | The aim of this paper is to present the well-known normality tests used in practice and to compare them. The first chapter consists of the basic concepts and properties of the nor- mal distribution. In the second chapter 6 normality tests are treated, namely Kolmogorov- Smirnov, Lilliefors, Shapiro-Wilk, Anderson-Darling, D'Agostino-Pearson and Jarque- Bera. For each test, test statistic and shape of critical region are given, among others. The third chapter, with empirical study, contains two parts. In the first part, nature of the study is briefly explained and level of significance declared by tests is empirically-checked. In the second part, power of tests is empirically compared against various alternatives and the results are discussed. 1 | en_US |
uk.file-availability | V | |
uk.grantor | Univerzita Karlova, Matematicko-fyzikální fakulta, Katedra pravděpodobnosti a matematické statistiky | cs_CZ |
thesis.grade.code | 3 | |
uk.publication-place | Praha | cs_CZ |
uk.thesis.defenceStatus | O | |