Nonparametric c-sample Test for Ordered Alternatives on Ranked-set Samples

In this paper, we consider c -sample nonparametric testing problem for ordered alternatives on ranked-set samples(RSS) and obtain the asymptotic relative efficiencies of the proposed test statistic with respect to Jonckheere type test statistic and statistic U based on simple random sampling(SRS). From the simulation work, we compare the empirical power of the proposed test statistic with Jonckheere type test statistic and statistic U based on SRS, where the underlying distributions are uniform, normal, double exponential, logistic and Cauchy distribution.

1. Introduction

2. Test Statistic

3. Asymptotic Properties

4. Power Comparison and Conclusions

References

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