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

Ankarali H., YAZICI A. C. , Ankarali S.

TRAKYA UNIVERSITESI TIP FAKULTESI DERGISI, vol.26, no.4, pp.297-305, 2009 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 26 Issue: 4
  • Publication Date: 2009
  • Journal Name: TRAKYA UNIVERSITESI TIP FAKULTESI DERGISI
  • Journal Indexes: Science Citation Index Expanded, Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.297-305
  • Keywords: Small sample size, bootstrap simulation, power of t-test, confidence interval, skewness and kurtosis, ORDINAL SCALED DATA, ROBUSTNESS, ETHICS, POWER, SIZE

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.