TY - JFULL AU - F. Azna A. Shahabuddin and Kamarulzaman Ibrahim and Abdul Aziz Jemain PY - 2009/7/ TI - On the Comparison of Several Goodness of Fit tests under Simple Random Sampling and Ranked Set Sampling T2 - International Journal of Mathematical and Computational Sciences SP - 405 EP - 409 VL - 3 SN - 1307-6892 UR - https://publications.waset.org/pdf/9276 PU - World Academy of Science, Engineering and Technology NX - Open Science Index 30, 2009 N2 - Many works have been carried out to compare the efficiency of several goodness of fit procedures for identifying whether or not a particular distribution could adequately explain a data set. In this paper a study is conducted to investigate the power of several goodness of fit tests such as Kolmogorov Smirnov (KS), Anderson-Darling(AD), Cramer- von- Mises (CV) and a proposed modification of Kolmogorov-Smirnov goodness of fit test which incorporates a variance stabilizing transformation (FKS). The performances of these selected tests are studied under simple random sampling (SRS) and Ranked Set Sampling (RSS). This study shows that, in general, the Anderson-Darling (AD) test performs better than other GOF tests. However, there are some cases where the proposed test can perform as equally good as the AD test. ER -