A Jonckheere–Terpstra-type test for perfect ranking in balanced ranked set sampling

Some nonparametric tests of perfect judgment ranking for judgment post stratification

“…The simulation results of Vock and Balakrishnan (2011) indicate that the tests based on J and W * are uniformly more powerful than the tests based on N and S, respectively. …”

“…The nonparametric tests of perfect ranking in the RSS setting, which are used in our comparison set, are as follows: The tests based on N P and W * due to Frey et al (2007), the test based on J due to Vock and Balakrishnan (2011), and the test based on P A due to Zamanzade et al (2012). For power comparisons, we have considered the following four scenarios of imperfect ranking:…”

“…• Fraction of neighbor rankings due to Vock and Balakrishnan (2011). In this imperfect rankings scenario, R (i) is selected correctly with probability λ, it is one too small with probability 1−λ 2 , and it is one too large with probability 1−λ 2 .…”

A Parametric Test of Perfect Ranking in Balanced Ranked Set Sampling

“…The powers of the competing tests were directly reported from Vock and Balakrishnan (2011), Tables 3-6, while new simulations were carried out for the power of the test based on D k,n . Because of the undeniable importance of normal and exponential distributions in statistical inference, we consider these two special cases in our study.…”

“…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. 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).…”