The Matched Pairs Sign Test using Bivariate Ranked Set Sampling

Hani Samawi; Mohammad F. Al-Saleh; Obaid Al-Saidy

The Matched Pairs Sign Test using Bivariate Ranked Set Sampling

Hani Samawi, Mohammad F. Al-Saleh, Obaid Al-Saidy

Biostatistics, Epidemiology, & Environmental Health Sciences

Research output: Contribution to conference › Presentation

Abstract

<p> The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more ef&filig;cient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the ef&filig;ciency of the test are derived. The Pitman asymptotic relative ef&filig;ciency is used to compare the asymptotic performance of the matched pairs sign test using BVRSS versus using BVSRS. For small sample sizes, the bootstrap method is used to estimate P-values. Numerical comparisons and real data are used to gain insight about the ef&filig;ciency of the BVRSS sign test compared to the BVSRS sign test. Our numerical and theoretical results indicate that using BVRSS for the matched pairs sign test is substantially more ef&filig;cient than using BVSRS.</p>

Original language	American English
State	Published - Mar 1 2007
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 → …

Keywords

Bivairiate ranked set sampling
Matched pairs
Sign test

DC Disciplines

Biostatistics
Public Health

UN SDGs

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

Access to Document

https://www.enar.org/meetings/meetings2007/enar_program_2007.pdf

Cite this

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title = "The Matched Pairs Sign Test using Bivariate Ranked Set Sampling",

abstract = " The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more ef&filig;cient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the ef&filig;ciency of the test are derived. The Pitman asymptotic relative ef&filig;ciency is used to compare the asymptotic performance of the matched pairs sign test using BVRSS versus using BVSRS. For small sample sizes, the bootstrap method is used to estimate P-values. Numerical comparisons and real data are used to gain insight about the ef&filig;ciency of the BVRSS sign test compared to the BVSRS sign test. Our numerical and theoretical results indicate that using BVRSS for the matched pairs sign test is substantially more ef&filig;cient than using BVSRS.",

keywords = "Bivairiate ranked set sampling, Matched pairs, Sign test",

author = "Hani Samawi and Al-Saleh, {Mohammad F.} and Obaid Al-Saidy",

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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 - The Matched Pairs Sign Test using Bivariate Ranked Set Sampling

AU - Samawi, Hani

AU - Al-Saleh, Mohammad F.

AU - Al-Saidy, Obaid

PY - 2007/3/1

Y1 - 2007/3/1

N2 - The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more ef&filig;cient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the ef&filig;ciency of the test are derived. The Pitman asymptotic relative ef&filig;ciency is used to compare the asymptotic performance of the matched pairs sign test using BVRSS versus using BVSRS. For small sample sizes, the bootstrap method is used to estimate P-values. Numerical comparisons and real data are used to gain insight about the ef&filig;ciency of the BVRSS sign test compared to the BVSRS sign test. Our numerical and theoretical results indicate that using BVRSS for the matched pairs sign test is substantially more ef&filig;cient than using BVSRS.

AB - The matched pairs sign test using bivariate ranked set sampling (BVRSS) is introduced and investigated. We show that this test is asymptotically more ef&filig;cient than its counterpart sign test based on a bivariate simple random sample (BVSRS). The asymptotic null distribution and the ef&filig;ciency of the test are derived. The Pitman asymptotic relative ef&filig;ciency is used to compare the asymptotic performance of the matched pairs sign test using BVRSS versus using BVSRS. For small sample sizes, the bootstrap method is used to estimate P-values. Numerical comparisons and real data are used to gain insight about the ef&filig;ciency of the BVRSS sign test compared to the BVSRS sign test. Our numerical and theoretical results indicate that using BVRSS for the matched pairs sign test is substantially more ef&filig;cient than using BVSRS.

KW - Bivairiate ranked set sampling

KW - Matched pairs

KW - Sign test

UR - https://digitalcommons.georgiasouthern.edu/biostat-facpres/37

UR - https://www.enar.org/meetings/meetings2007/enar_program_2007.pdf

M3 - Presentation

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

Y2 - 15 March 2015

ER -

The Matched Pairs Sign Test using Bivariate Ranked Set Sampling

Abstract

Conference

Keywords

DC Disciplines

UN SDGs

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