Robust tests for testing the parameters of a normal population

This article aims to provide a simple robust method to test the parameters of a normal population by using the new diagnostic tool called the “Forward Search” (FS) method. The most commonly used procedures to test the mean and variance of a normal distribution are Student’s t test and Chi-square tes...

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Bibliographic Details
Main Authors: A. Mahdavi, M. Towhidi
Format: Article
Language:English
Published: University of Tehran 2014-09-01
Series:Journal of Sciences, Islamic Republic of Iran
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Online Access:https://jsciences.ut.ac.ir/article_51855_ec7d5b583b8c6985b3259fda8da91fe8.pdf
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Summary:This article aims to provide a simple robust method to test the parameters of a normal population by using the new diagnostic tool called the “Forward Search” (FS) method. The most commonly used procedures to test the mean and variance of a normal distribution are Student’s t test and Chi-square test, respectively. These tests suffer from the presence of outliers. We introduce the FS version of these tests that is not affected by the outliers. The performances of these procedures are illustrated by some simulation studies and a real data example.
ISSN:1016-1104
2345-6914