On Simple Tests of Diagonal Symmetry for Bivariate Distributions

Hani Samawi; Robert L. Vogel

doi:10.1080/09720510.2013.857919

On Simple Tests of Diagonal Symmetry for Bivariate Distributions

Research output: Contribution to journal › Article › peer-review

Abstract

Simple test of diagonal symmetry for bivariate distributions are proposed and intended for non-statistician. The asymptotic null distributions for all of the proposed tests are derived in this paper. To compare the proposed tests, intensive simulation is conducted to examine the power of the proposed tests under the null and the alternative hypotheses. The proposed tests will be applied to data from previous biomedical studies.

Original language	American English
Journal	Journal of Statistics Management Systems
Volume	17
DOIs	https://doi.org/10.1080/09720510.2013.857919
State	Published - Jan 1 2014

Keywords

Chi-square test
Likelihood ratio test
Diagonal symmetry
Circular symmetry
Spherical symmetry
Bivariate symmetry

DC Disciplines

Biostatistics
Community Health
Public Health

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1080/09720510.2013.857919License: CC BY

http://dx.doi.org/10.1080/09720510.2013.857919

Cite this

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abstract = " Simple test of diagonal symmetry for bivariate distributions are proposed and intended for non-statistician. The asymptotic null distributions for all of the proposed tests are derived in this paper. To compare the proposed tests, intensive simulation is conducted to examine the power of the proposed tests under the null and the alternative hypotheses. The proposed tests will be applied to data from previous biomedical studies.",

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AB - Simple test of diagonal symmetry for bivariate distributions are proposed and intended for non-statistician. The asymptotic null distributions for all of the proposed tests are derived in this paper. To compare the proposed tests, intensive simulation is conducted to examine the power of the proposed tests under the null and the alternative hypotheses. The proposed tests will be applied to data from previous biomedical studies.

KW - Chi-square test

KW - Likelihood ratio test

KW - Diagonal symmetry

KW - Circular symmetry

KW - Spherical symmetry

KW - Bivariate symmetry

UR - https://digitalcommons.georgiasouthern.edu/biostat-facpubs/74

UR - http://dx.doi.org/10.1080/09720510.2013.857919

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DO - 10.1080/09720510.2013.857919

M3 - Article

VL - 17

JO - Journal of Statistics Management Systems

JF - Journal of Statistics Management Systems

ER -

On Simple Tests of Diagonal Symmetry for Bivariate Distributions

Abstract

Keywords

DC Disciplines

UN SDGs

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