A Connection Between Two Nonparametric Tests for Perfect Ranking in Balanced Ranked Set Sampling

Abstract

In this note, we show that an extension of a test for perfect ranking in a balanced ranked set sample given by Li and Balakrishnan (2008) to the multi-cycle case turns out to be equivalent to the test statistic proposed by Frey et al. (2007). This provides an alternative interpretation and motivation for their test statistic.

Keywords:

• Balanced ranked set sampling
• Judgement error
• Order statistics
• Perfect ranking

Mathematics Subject Classification:

• Primary 62G10
• Secondary 62D05

Acknowledgments

This research was carried out while the first author was visiting McMaster University in the summer of 2010. Thanks are due to Natural Sciences and Engineering Research Council of Canada for funding this research.