A Bootstrap Confidence Interval for Skewness and Kurtosis and Properties of t-test in Small Samples from Normal Distribution
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Dosyalar
Tarih
2009
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Aves Yayincilik, Ibrahim Kara
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
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
Açıklama
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
Anahtar Kelimeler
Small sample size, bootstrap simulation, power of t-test, confidence interval, skewness and kurtosis
Kaynak
Trakya Universitesi Tip Fakultesi Dergisi
WoS Q Değeri
Q4
Scopus Q Değeri
Cilt
26
Sayı
4
