- Hacettepe Journal of Mathematics and Statistics
- Vol: 46 Issue: 6
- Autocorrelation corrected standard error for two sample t-test under serial dependence
Autocorrelation corrected standard error for two sample t-test under serial dependence
Authors : Ayfer Ezgi Yilmaz, Serpil Aktas
Pages : 1199-1210
View : 13 | Download : 5
Publication Date : 2017-12-01
Article Type : Research
Abstract :The classical two-sample t-test assumes that observations are independent. A violation of this assumption could lead to inaccurate results and incorrectly analyzing data leads to erroneous statistical inferences. However, in real life applications, data are often recorded over time and serial correlation is unavoidable. In this study, two new autocorrelation corrected standard errors are proposed for independent and correlated samples. These standard errors are replaced by the classical standard error in the presence of serially correlated samples in two samples t-test. Results based upon the simulation show that the proposed standard errors gives higher empirical power than other approaches.Keywords : Hypothesis testing, Two sample tests, t-test, Serial dependence, Autocorrelation