Sample Size Savings for Curtailed One-Sample Nonparametric Tests for Location Shift
Nira Herrmann, Ted H. Szatrowski
The Annals of Statistics · 1987 · Volume 15 · Issue 1
Abstract
Asymptotic moments of normed sample size savings are derived for one-sided curtailed nonparametric tests for symmetry for testing location shift hypotheses under the null hypothesis and contiguous alternatives. The contiguous alternative results are derived using Feller's (1943) central limit theorem result for large deviations and techniques used in Albers, Bickel and van Zwet (1976).
Keywords
62E20, 62G10, Asymptotic distributions, Clinical trials, contiguous alternatives, curtailed sampling, distribution free tests, large deviations, linear rank tests, van der Waerden scores, Wilcoxon test
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