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

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  • A. Hussein
  • H. Muttlak
  • M. Saleh

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. Copyright Springer-Verlag 2013

Suggested Citation

  • A. Hussein & H. Muttlak & M. Saleh, 2013. "Group sequential comparison of two binomial proportions under ranked set sampling design," Computational Statistics, Springer, vol. 28(3), pages 1169-1194, June.
  • Handle: RePEc:spr:compst:v:28:y:2013:i:3:p:1169-1194
    DOI: 10.1007/s00180-012-0347-8
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    References listed on IDEAS

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    1. Sinha Bimal K. & Sinha Bikas K. & Purkayastha Sumitra, 1996. "On Some Aspects Of Ranked Set Sampling For Estimation Of Normal And Exponential Parameters," Statistics & Risk Modeling, De Gruyter, vol. 14(3), pages 223-240, March.
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