Statistical Decisions in Quality Audits — a Possibilistic Interpretation of Single Statistical Tests
Properties of statistical tests which are used in statistical quality control have very good interpretation in the case of sequences of similar tests, for example in the acceptance sampling of series of production lots. However, there is no convincing practical interpretation of test results when tests are performed only once, as in the case of the acceptance sampling of isolated lots. This happens especially in quality auditing, when auditors have to verify claims about declared quality levels using only the available statistical data. For such a case we propose a simple interpretation of tests results in terms of the theory of possibility . Alternative hypotheses concerning the declared quality levels are validated using Possibility of Dominance (PD), Possibility of Strict Dominance (PSD), Necessity of Dominance (ND), and Necessity of Strict Dominance (NSD) indices.
KeywordsQuality Level Sampling Plan Quality Audit Possibility Distribution Statistical Quality Control
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