Abstract
It is shown that permutation tests have optimum properties for interesting classes of continuous distributions as well as for discrete ones. General conditions sufficient for uniformly maximal power on subclasses are given. Moreover, a variety of examples is presented.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Good P (1995) Permutation Tests, 2nd edn. Springer, New York
Lehmann EL (1986) Testing Statistical Hypotheses, 2nd edn. Wiley, New York
Odén A, Wedel H (1975) Arguments for Fisher's permutation test. Ann. Statist. 3: 518–520
Pfanzagl J (1994) Parametric Statistical Theory, deGruyter, Berlin
Schrage C (1980) Two-sample permutation test for discrete distributions. Arbeitspapier CS 01, Inst. Math. Statistik, WWU Münster
Schrage C (1982)k-Stichprobenpermutationstests bei diskreter Verteilungsannahme. PhD thesis, Westfälische Wilhelms-Universität Münster
Witting H (1985) Mathematische Statistik I, Teubner, Stuttgart
Witting H, Nölle G (1970) Angewandte Mathematische Statistik, Teubner, Stuttgart
Author information
Authors and Affiliations
Additional information
Research supported by Deutsche Forschungsgemeinschaft (DFG) grant No. Schm 677/5-1
Rights and permissions
About this article
Cite this article
Gebhard, J., Schmitz, N. Permutation tests — A revival?!. Statistical Papers 39, 75–85 (1998). https://doi.org/10.1007/BF02925373
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02925373