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A bootstrap test for symmetry based on ranked set samples

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  • Drikvandi, Reza
  • Modarres, Reza
  • Jalilian, Abdullah H.

Abstract

To test the hypothesis of symmetry about an unknown median we propose the maximum of a partial sum process based on ranked set samples. We discuss the properties of the test statistic and investigate a modified bootstrap ranked set sample bootstrap procedure to obtain its sampling distribution. The power of the new test statistic is compared with two existing tests in a simulation study.

Suggested Citation

  • Drikvandi, Reza & Modarres, Reza & Jalilian, Abdullah H., 2011. "A bootstrap test for symmetry based on ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 55(4), pages 1807-1814, April.
    • Handle: RePEc:eee:csdana:v:55:y:2011:i:4:p:1807-1814
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    References listed on IDEAS

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    1. Modarres, Reza & Gastwirth, Joseph L., 1996. "A modified runs test for symmetry," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 107-112, December.
    2. Modarres, Reza & Hui, Terrence P. & Zheng, Gang, 2006. "Resampling methods for ranked set samples," Computational Statistics & Data Analysis, Elsevier, vol. 51(2), pages 1039-1050, November.
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    Cited by:

    1. Amer Ibrahim Al-Omari & Abdul Haq, 2012. "Improved quality control charts for monitoring the process mean, using double-ranked set sampling methods," Journal of Applied Statistics, Taylor & Francis Journals, vol. 39(4), pages 745-763, August.
    2. M. Mahdizadeh & Ehsan Zamanzade, 2020. "Estimation of a symmetric distribution function in multistage ranked set sampling," Statistical Papers, Springer, vol. 61(2), pages 851-867, April.

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