A Large Sample Conservative Test for Location with Unknown Scale Parameters

Hettmansperger, Thomas P.

doi:10.1080/01621459.1973.10482457

Cited by 13 publications

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References 6 publications

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“…The asymptotic distribution of the statistics U / n -V / m = T is obtained from the representation given in Theorem 3.1 of Gaswirth (1968) as modified in Hettmansperger (1973). Letting vfand v, denote the medians of the distributions F and G, the general result is given in (2) The statistic T can also be used to test for the equality of the medians vf and v, even when F and G have different shapes.…”

Section: Statistical Properties Of the Scm Testmentioning

confidence: 99%

Nonparametric tests in small unbalanced samples: Application in employment-discrimination cases

Gastwirth

Wang

1987

Can. J. Statistics

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Unbalanced-size samples arise naturally in equal-employment cases, as the minority fraction of all employees or applicants are invariably less than one half. Motivated by an actual case in which the median test with no power to detect disparate treatment was accepted in court, we develop a symmetrized form of the control median test having the same asymptotic properties as the median test. Since the actual case concerned the relative merits of the median and Wilcoxon test, a Monte Carlo study of the power of the new test and other nonparametric tests is reported. The results show that the new procedure is more powerful than the ordinary median test in small unbalanced samples. When the data come from a normal or double-exponential law, the Wilcoxon test is however usually superior to either of the others. When the data come from a Cauchy distribution, on the other hand, the powers of the procedures typically are reversed.

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Section: Statistical Properties Of the Scm Testmentioning

confidence: 99%