More Powerful Sign Test Using Median Ranked Set Sample: Finite Sample Power Comparison

Hani M. Samawi; Walid A. Abu-Dayyeh; Hani Samawi

doi:10.1080/0094965031000078864

More Powerful Sign Test Using Median Ranked Set Sample: Finite Sample Power Comparison

Hani M. Samawi, Walid A. Abu-Dayyeh, Hani Samawi

Biostatistics, Epidemiology, & Environmental Health Sciences

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

8 Scopus citations

Abstract

Sign test using median ranked set samples (MRSS) is introduced and investigated. We show that, this test is more powerful than the sign tests based on simple random sample (SRS) and ranked set sample (RSS) for finite sample size. It is found that, when the set size of MRSS is odd, the null distribution of the MRSS sign test is the same as the sign test obtained by using SRS. The exact null distributions and the power functions, in case of finite sample sizes, of these tests are derived. Also, the asymptotic distribution of the MRSS sign tests are derived. Numerical comparison of the MRSS sign test power with the power of the SRS sign test and the RSS sign test is given. Illustration of the procedure, using real data set of bilirubin level in Jaundice babies who stay in neonatal intensive care is introduced.

Original language	American English
Journal	Journal of Statistical Computation and Simulation
Volume	73
DOIs	https://doi.org/10.1080/0094965031000078864
State	Published - 2003

Keywords

Finite Sample Size
Median Ranked Set Sample
Power Of The Test
Ranked Set Sample
Sign Test

DC Disciplines

Biostatistics

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10.1080/0094965031000078864License: Unspecified

Cite this

@article{3d08fcd3d93945e7b92b56d181521243,

title = "More Powerful Sign Test Using Median Ranked Set Sample: Finite Sample Power Comparison",

abstract = " Sign test using median ranked set samples (MRSS) is introduced and investigated. We show that, this test is more powerful than the sign tests based on simple random sample (SRS) and ranked set sample (RSS) for finite sample size. It is found that, when the set size of MRSS is odd, the null distribution of the MRSS sign test is the same as the sign test obtained by using SRS. The exact null distributions and the power functions, in case of finite sample sizes, of these tests are derived. Also, the asymptotic distribution of the MRSS sign tests are derived. Numerical comparison of the MRSS sign test power with the power of the SRS sign test and the RSS sign test is given. Illustration of the procedure, using real data set of bilirubin level in Jaundice babies who stay in neonatal intensive care is introduced.",

keywords = "Finite Sample Size, Median Ranked Set Sample, Power Of The Test, Ranked Set Sample, Sign Test",

author = "Samawi, {Hani M.} and Abu-Dayyeh, {Walid A.} and Hani Samawi",

note = "Sign test using median ranked set samples (MRSS) is introduced and investigated. We show that, this test is more powerful than the sign tests based on simple random sample (SRS) and ranked set sample (RSS) for finite sample size.",

year = "2003",

doi = "10.1080/0094965031000078864",

language = "American English",

volume = "73",

journal = "Journal of Statistical Computation and Simulation",

issn = "0094-9655",

publisher = "Taylor and Francis Ltd.",

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T1 - More Powerful Sign Test Using Median Ranked Set Sample: Finite Sample Power Comparison

AU - Samawi, Hani M.

AU - Abu-Dayyeh, Walid A.

AU - Samawi, Hani

N1 - Sign test using median ranked set samples (MRSS) is introduced and investigated. We show that, this test is more powerful than the sign tests based on simple random sample (SRS) and ranked set sample (RSS) for finite sample size.

PY - 2003

Y1 - 2003

N2 - Sign test using median ranked set samples (MRSS) is introduced and investigated. We show that, this test is more powerful than the sign tests based on simple random sample (SRS) and ranked set sample (RSS) for finite sample size. It is found that, when the set size of MRSS is odd, the null distribution of the MRSS sign test is the same as the sign test obtained by using SRS. The exact null distributions and the power functions, in case of finite sample sizes, of these tests are derived. Also, the asymptotic distribution of the MRSS sign tests are derived. Numerical comparison of the MRSS sign test power with the power of the SRS sign test and the RSS sign test is given. Illustration of the procedure, using real data set of bilirubin level in Jaundice babies who stay in neonatal intensive care is introduced.

AB - Sign test using median ranked set samples (MRSS) is introduced and investigated. We show that, this test is more powerful than the sign tests based on simple random sample (SRS) and ranked set sample (RSS) for finite sample size. It is found that, when the set size of MRSS is odd, the null distribution of the MRSS sign test is the same as the sign test obtained by using SRS. The exact null distributions and the power functions, in case of finite sample sizes, of these tests are derived. Also, the asymptotic distribution of the MRSS sign tests are derived. Numerical comparison of the MRSS sign test power with the power of the SRS sign test and the RSS sign test is given. Illustration of the procedure, using real data set of bilirubin level in Jaundice babies who stay in neonatal intensive care is introduced.

KW - Finite Sample Size

KW - Median Ranked Set Sample

KW - Power Of The Test

KW - Ranked Set Sample

KW - Sign Test

UR - https://doi.org/10.1080/0094965031000078864

U2 - 10.1080/0094965031000078864

DO - 10.1080/0094965031000078864

M3 - Article

SN - 0094-9655

VL - 73

JO - Journal of Statistical Computation and Simulation

JF - Journal of Statistical Computation and Simulation

ER -

More Powerful Sign Test Using Median Ranked Set Sample: Finite Sample Power Comparison

Abstract

Keywords

DC Disciplines

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