@article{Weigand2012, author = {Weigand, Christoph}, title = {Statistical Tests Based on Reliability and Precision}, series = {Economic Quality Control : EQC ; international journal for quality and reliability}, volume = {27}, journal = {Economic Quality Control : EQC ; international journal for quality and reliability}, number = {1}, publisher = {De Gruyter}, address = {Berlin}, issn = {1869-6147}, doi = {10.1515/eqc-2012-0002}, pages = {43 -- 64}, year = {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 quantifiedin 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. Thereforethe paper presents and discusses several approaches. Moreover the distinction of "nullhypothesis" and "alternative hypothesis" is not necessary any longer.}, language = {en} }