A Bootstrap Confidence Interval for Skewness and Kurtosis and Properties of t-test in Small Samples from Normal Distribution

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dc.contributor.authorAnkaralı, Handan
dc.contributor.authorYazıcı, Ayşe Canan
dc.contributor.authorAnkaralı, Seyit
dc.date.accessioned2020-04-30T22:38:35Z
dc.date.available2020-04-30T22:38:35Z
dc.date.issued2009
dc.departmentDÜ, Tıp Fakültesi, Temel Tıp Bilimleri Bölümüen_US
dc.description11th National Congress of Biostatistics -- MAY 27-30, 2008 -- Malatya, TURKEYen_US
dc.descriptionAnkarali, Handan Camdeviren/0000-0002-3613-0523; Ankarali, Seyit/0000-0003-3752-0846en_US
dc.descriptionWOS: 000272760100003en_US
dc.description.abstractObjectives: We examined the test properties about mean and mean differences, sampling distributions properties of mean and standard deviation, especially when the sample size is lower than 10 and the variable has normal distribution in population. In addition, we aimed to construct a 95% bootstrap confidence interval for skewness and kurtosis values in various samples sizes. Materials and Methods: In our simulation study, 10,000 samples with replacement were taken from the standard normal population Various sample sizes were evaluated Data which were obtained from an animal study were used for comparison of t-test's and Wilcoxon sign test's power in small sample. Results: According to our results, sampling distribution of skewness coefficients has normal distribution, however, kurtosis coefficients have positively skewed distribution. A bootstrap confidence interval for these coefficients by using these sampling distribution can be used for normality test Moreover, it was shown that test statistic for the mean has t-distribution in all studied sample sizes Conclusion: We can say that distribution shape of the variable plays a more important role than sample size in selection of appropriate test statisticen_US
dc.identifier.endpage305en_US
dc.identifier.issn1301-3149
dc.identifier.issue4en_US
dc.identifier.startpage297en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12684/2284
dc.identifier.volume26en_US
dc.identifier.wosWOS:000272760100003en_US
dc.identifier.wosqualityQ4en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherAves Yayincilik, Ibrahim Karaen_US
dc.relation.ispartofTrakya Universitesi Tip Fakultesi Dergisien_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSmall sample sizeen_US
dc.subjectbootstrap simulationen_US
dc.subjectpower of t-testen_US
dc.subjectconfidence intervalen_US
dc.subjectskewness and kurtosisen_US
dc.titleA Bootstrap Confidence Interval for Skewness and Kurtosis and Properties of t-test in Small Samples from Normal Distributionen_US
dc.typeArticleen_US

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