Herrmann, Nira; Szatrowski, Ted H. Sample size savings for curtailed one-sample nonparametric tests for location shift. (English) Zbl 0646.62037 Ann. Stat. 15, 296-313 (1987). A curtailed version of a one-sided nonparametric test for symmetry is considered. Asymptotic moments of normed sample size savings are derived for the test under the null hypothesis and contiguous alternatives. It is also shown that under some conditions the normed sample size savings have an asymptotic truncated normal distribution for many of the nonparametric tests under consideration including the Wilcoxon and van der Waerden tests. Reviewer: J.Bartoszewicz MSC: 62G10 Nonparametric hypothesis testing 62E20 Asymptotic distribution theory in statistics 60F10 Large deviations Keywords:testing location shift hypotheses; central limit theorem; clinical trials; large deviations; linear rank tests; van der Waerden scores; Wilcoxon test; curtailed sampling; distribution free tests; one-sided nonparametric test for symmetry; Asymptotic moments of normed sample size savings; contiguous alternatives; asymptotic truncated normal distribution; van der Waerden tests × Cite Format Result Cite Review PDF Full Text: DOI