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A modified runs test for symmetry

Author

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  • Modarres, Reza
  • Gastwirth, Joseph L.

Abstract

We present a modification of a recently proposed test of symmetry about a known center. The new test uses Wilcoxon scores to weigh the runs and has a limiting normal distribution under the null hypothesis. A Monte Carlo study shows that it is more powerful than both the runs and Wilcoxon signed-rank test for the symmetry problem against alternative in the lambda family.

Suggested Citation

  • Modarres, Reza & Gastwirth, Joseph L., 1996. "A modified runs test for symmetry," Statistics & Probability Letters, Elsevier, vol. 31(2), pages 107-112, December.
  • Handle: RePEc:eee:stapro:v:31:y:1996:i:2:p:107-112
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    Citations

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    Cited by:

    1. 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.
    2. Reza Modarres & Joseph Gastwirth, 1998. "Hybrid test for the hypothesis of symmetry," Journal of Applied Statistics, Taylor & Francis Journals, vol. 25(6), pages 777-783.
    3. Behboodian, Javad & Modarres, Reza, 2013. "On a characterization theorem of symmetry about a point," Statistics & Probability Letters, Elsevier, vol. 83(9), pages 2057-2059.
    4. Rainer Dyckerhoff & Christophe Ley & Davy Paindaveine, 2014. "Depth-Based Runs Tests for bivariate Central Symmetry," Working Papers ECARES ECARES 2014-03, ULB -- Universite Libre de Bruxelles.
    5. Antonietta Mira, 1999. "Distribution-free test for symmetry based on Bonferroni's measure," Journal of Applied Statistics, Taylor & Francis Journals, vol. 26(8), pages 959-972.
    6. Bacci, Silvia & Bartolucci, Francesco, 2014. "Mixtures of equispaced normal distributions and their use for testing symmetry with univariate data," Computational Statistics & Data Analysis, Elsevier, vol. 71(C), pages 262-272.
    7. Rainer Dyckerhoff & Christophe Ley & Davy Paindaveine, 2015. "Depth-based runs tests for bivariate central symmetry," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(5), pages 917-941, October.

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