This paper develops distribution-free inference for a location shift model based on a partially rank-ordered set (PROS) sample. In a PROS sample, a small set of experimental units is judgment ranked without measurement by allowing ties whenever the units cannot be ranked with high confidence....

A judgment post-stratified (JPS) sample is used in order to develop statistical inference for population quantiles and variance. For the pth order of the population quantile, a test is constructed, an estimator is developed, and a distribution-free confidence interval is provided. An unbiased...

A two-sample Mood median test, along with an associated confidence interval, is developed for the contrast parameter of the treatment and control medians, under an order restricted randomization. The exact and asymptotic null distributions of the test statistic are derived. It is shown that the...

In a finite population setting, this paper considers a partially rank ordered set (PROS) sampling design. The PROS design selects a simple random sample (SRS) of M units without replacement from a finite population and creates a partially rank ordered judgment subsets by dividing the units in...