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Application of Ranked Set Sampling to Normality Tests

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Title: Application of Ranked Set Sampling to Normality Tests

Authors: A. Erem, G. Arslan

Journal: Journal of advances in applied & computational mathematics

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Year: 2015

Volume: 2

Issue: 1

Language: en

DOI: 10.15377/2409-5761.2014.02.01.2

Keywords: Simple Random Samplingranked set samplingNormality TestsR testZ test.

Categories
Hypothesis Testing (108) Statistical Inference (237) Normality Tests (4) Sampling Methods (8) Statistics (8857)

Abstract

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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