Inference on the Ratio of Correlations of Two Independent Populations

. The asymptotic distribution for the ratio of the sample correlations in two independent populations is established. The presented method can be used to derive the asymptotic confidence interval and hypothesis testing for the ratio of population correlations. The performance of the new interval...

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Main Authors:	M. R. Mahmoudi, M. Mahmoudi
Format:	Article
Language:	English
Published:	Islamic Azad University 2013-12-01
Series:	Journal of Mathematical Extension
Online Access:	http://ijmex.com/index.php/ijmex/article/view/225/138

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spelling	doaj-946c4e08c52a4a77b989dd457f81346d2020-11-25T03:39:32ZengIslamic Azad UniversityJournal of Mathematical Extension1735-82991735-82992013-12-01747182Inference on the Ratio of Correlations of Two Independent PopulationsM. R. Mahmoudi0M. Mahmoudi1Shiraz UniversityShiraz University. The asymptotic distribution for the ratio of the sample correlations in two independent populations is established. The presented method can be used to derive the asymptotic confidence interval and hypothesis testing for the ratio of population correlations. The performance of the new interval is comparable with similar method. Then the simulation study is provided to compare our confidence interval with Fisher Z-transform and Cauchy-transform methods. The proposed confidence set has a good coverage probability with a larger powhttp://ijmex.com/index.php/ijmex/article/view/225/138
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. R. Mahmoudi M. Mahmoudi
spellingShingle	M. R. Mahmoudi M. Mahmoudi Inference on the Ratio of Correlations of Two Independent Populations Journal of Mathematical Extension
author_facet	M. R. Mahmoudi M. Mahmoudi
author_sort	M. R. Mahmoudi
title	Inference on the Ratio of Correlations of Two Independent Populations
title_short	Inference on the Ratio of Correlations of Two Independent Populations
title_full	Inference on the Ratio of Correlations of Two Independent Populations
title_fullStr	Inference on the Ratio of Correlations of Two Independent Populations
title_full_unstemmed	Inference on the Ratio of Correlations of Two Independent Populations
title_sort	inference on the ratio of correlations of two independent populations
publisher	Islamic Azad University
series	Journal of Mathematical Extension
issn	1735-8299 1735-8299
publishDate	2013-12-01
description	. The asymptotic distribution for the ratio of the sample correlations in two independent populations is established. The presented method can be used to derive the asymptotic confidence interval and hypothesis testing for the ratio of population correlations. The performance of the new interval is comparable with similar method. Then the simulation study is provided to compare our confidence interval with Fisher Z-transform and Cauchy-transform methods. The proposed confidence set has a good coverage probability with a larger pow
url	http://ijmex.com/index.php/ijmex/article/view/225/138
work_keys_str_mv	AT mrmahmoudi inferenceontheratioofcorrelationsoftwoindependentpopulations AT mmahmoudi inferenceontheratioofcorrelationsoftwoindependentpopulations
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Inference on the Ratio of Correlations of Two Independent Populations

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