On the Comparison of Several Goodness of Fit tests under Simple Random Sampling and Ranked Set Sampling
| Main Authors: | F. Azna A. Shahabuddin, Kamarulzaman Ibrahim, Abdul Aziz Jemain |
|---|---|
| Format: | Article |
| Bahasa: | eng |
| Terbitan: |
, 2009
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| Subjects: | |
| Online Access: |
https://zenodo.org/record/1072455 |
Daftar Isi:
- 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.