The normality assumption is used in many statistical analyses and is also a fundamental concept in statistics. Because of this there are many statistical tests for testing the normality assumption. Two of the most primitive ones are the R and Z tests. The main aim of this study is to investigate the application of ranked set sampling to these tests. Therefore, by using the idea of ranked set sampling, modifications of the R and Z tests are considered. Using simulations the results of these new tests are discussed.
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