On the power of sen-mathur test statistic

Sunil K. Mathur, Xueqin Wang

Research output: Contribution to journalArticlepeer-review


Sen-Mathur [10] paper deals with the bivariate location problem. Sen-Mathur [10] proved that the proposed test statistic performs better than some of the existing methods using simulation studies but no power function and asymptotic results were provided. In this paper we present the power function and asymptotic behavior of a consistent test for difference in locations between two bivariate populations proposed by Sen-Mathur [10]. The power function is evaluated under two distributions. With the power function, we find that Sen-Mathur [10] test is more powerful than Wilcoxon bivariate rank sum test for location for moderate and large difference in locations. The S-Plus code is provided to evaluate the power function.

Original languageEnglish (US)
Pages (from-to)131-136
Number of pages6
JournalModel Assisted Statistics and Applications
Issue number2
StatePublished - 2005
Externally publishedYes


  • Bivariate population
  • Consistent
  • Power

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Applied Mathematics


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