Some simple nonparametric methods to test for perfect ranking in ranked set sampling

Li, T.

doi:10.1016/j.jspi.2007.05.040

Cited by 34 publications

(33 citation statements)

References 19 publications

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“…In the RSS setting, some tests for this purpose have been developed by Frey et al (2007), Li and Balakrishnan (2008), Zamanzade et al (2012), Frey and Wang (2013) and Zamanzade et al (2014).…”

Section: Introductionmentioning

confidence: 99%

“…Independently from Frey et al (2007), Li and Balakrishnan (2008) developed some nonparametric tests of perfect ranking for balanced RSS. Let…”

Section: Introductionmentioning

confidence: 99%

“…Let R ij be the rank of Y [i]j among all units in the jth cycle (for i = 1, · · · , m; j = 1, · · · , n). Then, the perfect ranking tests proposed by Li and Balakrishnan (2008) are…”

Section: Introductionmentioning

confidence: 99%

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Some nonparametric tests of perfect judgment ranking for judgment post stratification

Zamanzade

Vock

2016

Stat Papers

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Section: Introductionmentioning

confidence: 99%

“…Independently from Frey et al (2007), Li and Balakrishnan (2008) developed some nonparametric tests of perfect ranking for balanced RSS. Let…”

Section: Introductionmentioning

confidence: 99%

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Some nonparametric tests of perfect judgment ranking for judgment post stratification

Zamanzade

Vock

2016

Stat Papers

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“…Surprisingly, it is only recently that we see that some tests for perfect ranking have been introduced. Frey et al (2007) and Li and Balakrishnan (2008) independently proposed some nonparametric (distribution-free) tests for perfect ranking. Vock and Balakrishnan (2011) improved one of the Li and Balakrishnan (2008) tests and made some comparisons among these tests, using Monte Carlo simulations.…”

Section: Introductionmentioning

confidence: 99%

“…Vock and Balakrishnan (2011) improved one of the Li and Balakrishnan (2008) tests and made some comparisons among these tests, using Monte Carlo simulations. Furthermore, Vock and Balakrishnan (2012) generalized another test proposed by Li and Balakrishnan (2008) and showed that their generalized test is equivalent to the test proposed by Frey et al (2007).…”

Section: Introductionmentioning

confidence: 99%

A Parametric Test of Perfect Ranking in Balanced Ranked Set Sampling

Zamanzade

Arghami

Vock

2014

Communications in Statistics - Theory and Methods

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Abstract:Many techniques based on data which are drawn by Ranked Set Sampling (RSS) scheme assume that the ranking of observations is perfect. Therefore it is essential to develop some methods for testing this assumption. In this paper, we propose a parametric location-scale free test for assessing the assumption of perfect ranking. The results of a simulation study in two special cases of normal and exponential distributions indicate that the proposed test performs well in comparison with its leading competitors.

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Ranked set sampling

Patil

Sürücü

Egemen

2012

Encyclopedia of Environmetrics

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Environmental monitoring and assessment typically requires observational data as opposed to data obtained from controlled experiments. Obtaining such data requires identification of sample units to represent the population of concern, followed by selection of particular units to quantify the characteristic(s) of interest. Sample units are generally the smallest possible units of measurement, such as plots, soil cores, and individuals, while typical characteristics of interest include biomass, chemical concentrations, or “head counts.” Typically the most expensive part of this process is laboratory analysis, while identification of potential sample units is comparatively simple. One can therefore achieve great observational economy if one can identify a large number of sample units to represent the population of interest, yet only have to quantify a carefully selected subsample. This potential for observational economy was recognized for estimating mean pasture and forage yields in the early 1950s when McIntyre proposed a method, later coined ranked set sampling (RSS) by Halls and Dell, and currently under active investigation in various quarters.

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Some simple nonparametric methods to test for perfect ranking in ranked set sampling

Cited by 34 publications

References 19 publications

Some nonparametric tests of perfect judgment ranking for judgment post stratification

Some nonparametric tests of perfect judgment ranking for judgment post stratification

A Parametric Test of Perfect Ranking in Balanced Ranked Set Sampling

Ranked set sampling

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