F. Azna A. Shahabuddin and Kamarulzaman Ibrahim and Abdul Aziz Jemain
On the Comparison of Several Goodness of Fit tests under Simple Random Sampling and Ranked Set Sampling
406 - 409
2009
3
6
International Journal of Mathematical and Computational Sciences
https://publications.waset.org/pdf/9276
https://publications.waset.org/vol/30
World Academy of Science, Engineering and Technology
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),
AndersonDarling(AD), Cramer von Mises (CV) and a proposed
modification of KolmogorovSmirnov 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 AndersonDarling (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.
Open Science Index 30, 2009