Group sequential methods based on ranked set samples

A. Hussein; H. A. Muttlak; E. Al-Sawi

doi:10.1007/s00362-012-0448-z

Group sequential methods based on ranked set samples

A. Hussein, H. A. Muttlak, E. Al-Sawi

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

2 Scopus citations

Abstract

Ranked set sampling (RSS) schemes were originally proposed to increase efficiency in estimation. On the other hand, group sequential methods provide substantial savings in sample and enable us to make decisions as early as possible. In this manuscript, we intend to combine the benefits of the two methodologies. We propose group sequential tests for one and two population means under RSS. We compare the power, average sample sizes and type I errors of the proposed tests to those of group sequential tests based on simple random sampling schemes. We illustrate the utility of the method by using data from HIV trial.

Original language	English
Pages (from-to)	547-562
Number of pages	16
Journal	Statistical Papers
Volume	54
Issue number	3
DOIs	https://doi.org/10.1007/s00362-012-0448-z
State	Published - Aug 2013

Keywords

Auxiliary information
Group sequential methods
Ranked set sampling
Two-sample hypotheses

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

UN SDGs

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

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10.1007/s00362-012-0448-z

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AU - Muttlak, H. A.

AU - Al-Sawi, E.

PY - 2013/8

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N2 - Ranked set sampling (RSS) schemes were originally proposed to increase efficiency in estimation. On the other hand, group sequential methods provide substantial savings in sample and enable us to make decisions as early as possible. In this manuscript, we intend to combine the benefits of the two methodologies. We propose group sequential tests for one and two population means under RSS. We compare the power, average sample sizes and type I errors of the proposed tests to those of group sequential tests based on simple random sampling schemes. We illustrate the utility of the method by using data from HIV trial.

AB - Ranked set sampling (RSS) schemes were originally proposed to increase efficiency in estimation. On the other hand, group sequential methods provide substantial savings in sample and enable us to make decisions as early as possible. In this manuscript, we intend to combine the benefits of the two methodologies. We propose group sequential tests for one and two population means under RSS. We compare the power, average sample sizes and type I errors of the proposed tests to those of group sequential tests based on simple random sampling schemes. We illustrate the utility of the method by using data from HIV trial.

KW - Auxiliary information

KW - Group sequential methods

KW - Ranked set sampling

KW - Two-sample hypotheses

UR - https://www.scopus.com/pages/publications/84879464646

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DO - 10.1007/s00362-012-0448-z

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SN - 0932-5026

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SP - 547

EP - 562

JO - Statistical Papers

JF - Statistical Papers

IS - 3

ER -

Group sequential methods based on ranked set samples

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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