Statistical Tests Based on Reliability and Precision

Weigand Christoph ()
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Weigand Christoph: University of Applied Sciences Aachen, Eupener Str. 70, 52066 Aachen, Germany

Stochastics and Quality Control, 2012, vol. 27, issue 1, 43-64

Abstract: The construction of a statistical test is investigated which is based only on “reliability” and “precision” as quality criteria. The reliability of a statistical test is quantified in a straightforward way by the probability that the decision of the test is correct. However, the quantification of the precision of a statistical test is not at all evident. Therefore the paper presents and discusses several approaches. Moreover the distinction of “null hypothesis” and “alternative hypothesis” is not necessary any longer.

Keywords: Sampling Theory; Hypothesis Testing; Statistical Test Theory; Classification; Decision Theory; MinMax Regret (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1515/eqc-2012-0002

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