Improved procedures and computer programs for equivalence assessment of correlation coefficients.

The correlation coefficient is the most commonly used measure for summarizing the magnitude and direction of linear relationship between two response variables. Considerable literature has been devoted to the inference procedures for significance tests and confidence intervals of correlations. Howev...

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Autor principal:	Gwowen Shieh
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/ed25cf253dde4249be25cdd3ab28f3f3
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spelling	oai:doaj.org-article:ed25cf253dde4249be25cdd3ab28f3f32021-12-02T20:05:26ZImproved procedures and computer programs for equivalence assessment of correlation coefficients.1932-620310.1371/journal.pone.0252323https://doaj.org/article/ed25cf253dde4249be25cdd3ab28f3f32021-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0252323https://doaj.org/toc/1932-6203The correlation coefficient is the most commonly used measure for summarizing the magnitude and direction of linear relationship between two response variables. Considerable literature has been devoted to the inference procedures for significance tests and confidence intervals of correlations. However, the essential problem of evaluating correlation equivalence has not been adequately examined. For the purpose of expanding the usefulness of correlational techniques, this article focuses on the Pearson product-moment correlation coefficient and the Fisher's z transformation for developing equivalence procedures of correlation coefficients. Equivalence tests are proposed to assess whether a correlation coefficient is within a designated reference range for declaring equivalence decisions. The important aspects of Type I error rate, power calculation, and sample size determination are also considered. Special emphasis is given to clarify the nature and deficiency of the two one-sided tests for detecting a lack of association. The findings demonstrate the inappropriateness of existing methods for equivalence appraisal and validate the suggested techniques as reliable and primary tools in correlation analysis.Gwowen ShiehPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 16, Iss 5, p e0252323 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Gwowen Shieh Improved procedures and computer programs for equivalence assessment of correlation coefficients.
description	The correlation coefficient is the most commonly used measure for summarizing the magnitude and direction of linear relationship between two response variables. Considerable literature has been devoted to the inference procedures for significance tests and confidence intervals of correlations. However, the essential problem of evaluating correlation equivalence has not been adequately examined. For the purpose of expanding the usefulness of correlational techniques, this article focuses on the Pearson product-moment correlation coefficient and the Fisher's z transformation for developing equivalence procedures of correlation coefficients. Equivalence tests are proposed to assess whether a correlation coefficient is within a designated reference range for declaring equivalence decisions. The important aspects of Type I error rate, power calculation, and sample size determination are also considered. Special emphasis is given to clarify the nature and deficiency of the two one-sided tests for detecting a lack of association. The findings demonstrate the inappropriateness of existing methods for equivalence appraisal and validate the suggested techniques as reliable and primary tools in correlation analysis.
format	article
author	Gwowen Shieh
author_facet	Gwowen Shieh
author_sort	Gwowen Shieh
title	Improved procedures and computer programs for equivalence assessment of correlation coefficients.
title_short	Improved procedures and computer programs for equivalence assessment of correlation coefficients.
title_full	Improved procedures and computer programs for equivalence assessment of correlation coefficients.
title_fullStr	Improved procedures and computer programs for equivalence assessment of correlation coefficients.
title_full_unstemmed	Improved procedures and computer programs for equivalence assessment of correlation coefficients.
title_sort	improved procedures and computer programs for equivalence assessment of correlation coefficients.
publisher	Public Library of Science (PLoS)
publishDate	2021
url	https://doaj.org/article/ed25cf253dde4249be25cdd3ab28f3f3
work_keys_str_mv	AT gwowenshieh improvedproceduresandcomputerprogramsforequivalenceassessmentofcorrelationcoefficients
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Improved procedures and computer programs for equivalence assessment of correlation coefficients.

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