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Statistical Tests Based on Reliability and Precision
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Christoph Weigand
Published/Copyright:
September 1, 2012
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
Received: 2011-11-05
Published Online: 2012-09-01
Published in Print: 2012-09-01
© 2012 by Walter de Gruyter Berlin Boston
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Keywords for this article
Sampling Theory;
Hypothesis Testing;
Statistical Test Theory;
Classification;
Decision Theory;
MinMax Regret
Articles in the same Issue
- Masthead
- A New Two-Parameter Lifetime Distribution with Increasing Failure Rate
- Measuring E-Service Quality: Reviewing E-S-QUAL
- Statistical Tests Based on Reliability and Precision
- Trend-Incomplete-Renewal Process Models for Repairable Systems
- Characterizations of Logistic Distribution Through Order Statistics with Independent Exponential Shifts
