10th Iranian Statistical Conference , 2010-08-03
Title : ( Power comparison of independence test for Farlie-Gumbel-Morgenstern family )
Authors: Mohammad Amini , Hadi Jabbari Nooghabi , Gholam Reza Mohtashami Borzadaran , M. Azadbakhsh ,File:
Full Text

Abstract
Developing test for independence of random variables X and Y against the alternative has an important role in statistical inference. Kochar and Gupta (1987) proposed a class of tests in view of Block and Basu (1974) model and compared the powers for sample sizes n = 8, 12. In this paper, we evaluate Kochar and Gupta (1987) class of tests for testing independence against quadrant dependence in absolutely continuous bivariate Farlie-Gambel-Morgenstern distribution, via a simulation study for sample sizes n = 6, 8, 10, 12, 16 and 20. Furthermore, we compare the power of the tests with that proposed by G¨uven and Kotz (2008) based on the asymptotic distribution of the test statistics.