Applications of a new statistical method OrdinalAnalysis of Variance (ORDANOVA) for interlaboratory comparisons of measurement or test results of semi-quantitative (ordinal) and qualitative (binary) properties are discussed. ORDANOVA can be helpful for validation of measurement or test methods, proficiency testing of laboratories, development of reference materials with certified semi-quantitative and qualitative properties, that is, probably in every field where ANOVA is applied for quantitative properties. A statistics and criteria are proposed for performance assessment of laboratories active in semiquantitative and qualitative testing and for other purposes of statistical analysis of such test results.
This paper deals with the evaluation of process/product quality measured via a ternary ordinal scale. Recently, a new approach for dealing with ordinal quality variables, based on constructing a quality ladder using rank and dispersion criterion, was proposed. In this method the quality of a given sample is characterized by its relative position on the constructed quality ladder. The present paper proposes a new mechanism for constructing such a quality ladder. This method is called proportion ratio and dispersion (PR&D). The underlying logic, advantage and applications of the proposed method are discussed and demonstrated using software developed by the authors.
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