On Distribution-Free Runs Test for Symmetry Using Median Ranked Set Sampling

Hani M. Samawi; Robert L. Vogel

On Distribution-Free Runs Test for Symmetry Using Median Ranked Set Sampling

Georgia Southern University

Research output: Contribution to conference › Presentation

Abstract

Optimal ranked set sample design for distribution-free runs test of symmetry is introduced. Our investigation revealed that the optimal ranked set sample designs for runs test of symmetry are those with quantifying order statistics with labels when the set size r is odd and when the set size r is even. The exact null distribution is provided. Numerical analysis of the power of the proposed optimal designs is included. Illustration using real data is used.

Original language	American English
State	Published - Mar 1 2008
Event	Eastern North American Region International Biometric Society Annual Conference (ENAR) - Duration: Mar 15 2015 → …

Conference

Conference	Eastern North American Region International Biometric Society Annual Conference (ENAR)
Period	03/15/15 → …

Disciplines

Biostatistics
Public Health

Keywords

Distribution-free runs test
Symmetry
Median ranked set sampling

UN SDGs

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

Access to Document

https://www.enar.org/meetings/meetings2008/2008springmeeting_finalprogram.pdf

Cite this

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title = "On Distribution-Free Runs Test for Symmetry Using Median Ranked Set Sampling",

abstract = " Optimal ranked set sample design for distribution-free runs test of symmetry is introduced. Our investigation revealed that the optimal ranked set sample designs for runs test of symmetry are those with quantifying order statistics with labels when the set size r is odd and when the set size r is even. The exact null distribution is provided. Numerical analysis of the power of the proposed optimal designs is included. Illustration using real data is used.",

keywords = "Distribution-free runs test, Symmetry, Median ranked set sampling",

author = "Samawi, {Hani M.} and Vogel, {Robert L.}",

year = "2008",

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language = "American English",

note = "Eastern North American Region International Biometric Society Annual Conference (ENAR) ; Conference date: 15-03-2015",

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TY - CONF

T1 - On Distribution-Free Runs Test for Symmetry Using Median Ranked Set Sampling

AU - Samawi, Hani M.

AU - Vogel, Robert L.

PY - 2008/3/1

Y1 - 2008/3/1

N2 - Optimal ranked set sample design for distribution-free runs test of symmetry is introduced. Our investigation revealed that the optimal ranked set sample designs for runs test of symmetry are those with quantifying order statistics with labels when the set size r is odd and when the set size r is even. The exact null distribution is provided. Numerical analysis of the power of the proposed optimal designs is included. Illustration using real data is used.

AB - Optimal ranked set sample design for distribution-free runs test of symmetry is introduced. Our investigation revealed that the optimal ranked set sample designs for runs test of symmetry are those with quantifying order statistics with labels when the set size r is odd and when the set size r is even. The exact null distribution is provided. Numerical analysis of the power of the proposed optimal designs is included. Illustration using real data is used.

KW - Distribution-free runs test

KW - Symmetry

KW - Median ranked set sampling

UR - https://digitalcommons.georgiasouthern.edu/biostat-facpres/36

UR - https://www.enar.org/meetings/meetings2008/2008springmeeting_finalprogram.pdf

M3 - Presentation

T2 - Eastern North American Region International Biometric Society Annual Conference (ENAR)

Y2 - 15 March 2015

ER -

On Distribution-Free Runs Test for Symmetry Using Median Ranked Set Sampling

Abstract

Conference

Disciplines

Keywords

UN SDGs

Access to Document

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Cite this