Date of Award


Degree Type

Closed Thesis

Degree Name

Master of Science (MS)


Mathematics and Statistics

First Advisor

Yuanhui Xiao - Chair

Second Advisor

Jiawei Liu

Third Advisor

Yu-Sheng Hsu

Fourth Advisor

Yixin Fang


This paper uses Maximum likelihood estimation method to estimate the common correlation coefficients for multivariate datasets. We discuss a graphical tool, Q-Q plot, to test equality of the common intraclass correlation coefficients. Kolmogorov-Smirnov test and Cramér-von Mises test are used to check if the intraclass correlation coefficients are the same among populations. Bootstrap and empirical likelihood methods are applied to construct the confidence interval of the common intraclass correlation coefficients.