Group sequential comparison of two binomial proportions under ranked set sampling design

A. Hussein; H. A. Muttlak; M. Saleh

doi:10.1007/s00180-012-0347-8

Group sequential comparison of two binomial proportions under ranked set sampling design

A. Hussein, H. A. Muttlak, M. Saleh

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

Abstract

Ranked set sampling (RSS) is a technique for incorporating auxiliary (concomitant) information into estimation and testing procedures right at the design stage. In this paper, we propose group sequential testing procedures for comparing two treatments with binary outcomes under an RSS scheme with perfect ranking. We compare the power, the average sample sizes and type I errors of the proposed tests to those of the group sequential tests based on simple random sampling schemes. We illustrate the usefulness of the methodology by using data from a clinical trial on leukemia.

Original language	English
Pages (from-to)	1169-1194
Number of pages	26
Journal	Computational Statistics
Volume	28
Issue number	3
DOIs	https://doi.org/10.1007/s00180-012-0347-8
State	Published - Jun 2013

Bibliographical note

Funding Information:
This work was supported by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia under the Fast Track project # IN100024. The first author was supported by the National Science and Engineering Research Council of Canada (NSERC).

Keywords

Auxiliary information
Clinical trials
Group sequential methods
Ranked set sampling
Two-sample Binomial

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Computational Mathematics

UN SDGs

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

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10.1007/s00180-012-0347-8

Cite this

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title = "Group sequential comparison of two binomial proportions under ranked set sampling design",

abstract = "Ranked set sampling (RSS) is a technique for incorporating auxiliary (concomitant) information into estimation and testing procedures right at the design stage. In this paper, we propose group sequential testing procedures for comparing two treatments with binary outcomes under an RSS scheme with perfect ranking. We compare the power, the average sample sizes and type I errors of the proposed tests to those of the group sequential tests based on simple random sampling schemes. We illustrate the usefulness of the methodology by using data from a clinical trial on leukemia.",

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AU - Muttlak, H. A.

AU - Saleh, M.

N1 - Funding Information: This work was supported by King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia under the Fast Track project # IN100024. The first author was supported by the National Science and Engineering Research Council of Canada (NSERC).

PY - 2013/6

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N2 - Ranked set sampling (RSS) is a technique for incorporating auxiliary (concomitant) information into estimation and testing procedures right at the design stage. In this paper, we propose group sequential testing procedures for comparing two treatments with binary outcomes under an RSS scheme with perfect ranking. We compare the power, the average sample sizes and type I errors of the proposed tests to those of the group sequential tests based on simple random sampling schemes. We illustrate the usefulness of the methodology by using data from a clinical trial on leukemia.

AB - Ranked set sampling (RSS) is a technique for incorporating auxiliary (concomitant) information into estimation and testing procedures right at the design stage. In this paper, we propose group sequential testing procedures for comparing two treatments with binary outcomes under an RSS scheme with perfect ranking. We compare the power, the average sample sizes and type I errors of the proposed tests to those of the group sequential tests based on simple random sampling schemes. We illustrate the usefulness of the methodology by using data from a clinical trial on leukemia.

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KW - Group sequential methods

KW - Ranked set sampling

KW - Two-sample Binomial

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JO - Computational Statistics

JF - Computational Statistics

IS - 3

ER -

Group sequential comparison of two binomial proportions under ranked set sampling design

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

UN SDGs

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