Kumulative Niveauprofil-Tests / Cumulative Niveau Profile Tests

Rüger Bernhard
Additional contact information
Rüger Bernhard: Institut für Statistik, Ludwig-Maximilians-Universität München, Ludwigstrasse 33, D-80539 München.

Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), 1998, vol. 217, issue 1, 82-92

Abstract: The Neyman-Pearson theory suffers from two well-known deficiencies: the asymmetric role of size and power and the coarse dichotomic decision a test yields. To overcome these drawbacks, Rüger (1979, 1980) and Wassmer (1993) developed Niveau Profile Tests (Profile Tests). In principle, these tests succeeded. For composite hypotheses, however, they do not yield the intended refinement. For one-side hypotheses, even if there are indifference regions between them, those tests are capable of three decisions only: “reject the hypothesis”, “do not reject the hypothesis” and “remain indifferent”. Therefore, a revision seems indicated. The revision aims at constructing tests which are always capable of more decisions, even if the hypotheses are composite. These tests will be called “Cumulative Niveau Profile Tests”. The article contains the method of constructing those tests, criteria for comparison and a definition of optimality. Existence and uniqueness theorems are formulated.

Date: 1998
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1515/jbnst-1998-0110 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:jns:jbstat:v:217:y:1998:i:1:p:82-92

DOI: 10.1515/jbnst-1998-0110

Access Statistics for this article

Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik) is currently edited by Peter Winker

More articles in Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik) from De Gruyter
Bibliographic data for series maintained by Peter Golla ().