Autocorrelation corrected standard error for two sample t-test under serial dependence

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Hacettepe Journal of Mathematics and Statistics
Volume: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 : 63 | Download : 11

Publication Date : 2017-12-01

Article Type : Research Paper

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

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