A Bootstrap Confidence Interval for Skewness and Kurtosis and Properties of t-test in Small Samples from Normal Distribution
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Date
2009
Journal Title
Journal ISSN
Volume Title
Publisher
Aves Yayincilik, Ibrahim Kara
Access Rights
info:eu-repo/semantics/openAccess
Abstract
Objectives: 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 statistic
Description
11th National Congress of Biostatistics -- MAY 27-30, 2008 -- Malatya, TURKEY
Ankarali, Handan Camdeviren/0000-0002-3613-0523; Ankarali, Seyit/0000-0003-3752-0846
WOS: 000272760100003
Ankarali, Handan Camdeviren/0000-0002-3613-0523; Ankarali, Seyit/0000-0003-3752-0846
WOS: 000272760100003
Keywords
Small sample size, bootstrap simulation, power of t-test, confidence interval, skewness and kurtosis
Journal or Series
Trakya Universitesi Tip Fakultesi Dergisi
WoS Q Value
Q4
Scopus Q Value
Volume
26
Issue
4
