2011
DOI: 10.1007/s00769-011-0856-0
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Interlaboratory comparison of test results of an ordinal or nominal binary property: analysis of variation

Abstract: 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… Show more

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Cited by 30 publications
(15 citation statements)
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“…Bashkansky et al [5] and Gadrich et al [6] propose another approach based on ''ORDANOVA'' (Gadrich and Bashkansky [7]) for the calculation of precision data. This approach is closely related to the one proposed by Wilrich [4] and Wehling et al [3].…”
Section: Introductionmentioning
confidence: 99%
“…Bashkansky et al [5] and Gadrich et al [6] propose another approach based on ''ORDANOVA'' (Gadrich and Bashkansky [7]) for the calculation of precision data. This approach is closely related to the one proposed by Wilrich [4] and Wehling et al [3].…”
Section: Introductionmentioning
confidence: 99%
“…There are two ways to test for reproducibility and repeatability: in terms of the percentage of their contribution to the Total Variation; adopting the idea of homogeneity/heterogeneity expressed in Bashkansky et al and Gadrich and Bashkansky According to option (2), under the assumption of homogeneity, there is equivalence between the expected values of sources of variation normalized by the corresponding degrees of freedom: E[]VTOTitalicdfTOT=E[]VnormalWitalicdfnormalW=E[]VnormalBitalicdfnormalB where V TOT is the Total Variation among the M × K PCs and df TOT = K × M − 1 the corresponding degrees of freedom, V W is the Within Variation component with df W degrees of freedom, whereas V B is the Between Variation component with df B degrees of freedom.…”
Section: Methodsmentioning
confidence: 99%
“…Some results may show that parameters come from another distribution, such as in the distribution of rhythmic proportion, which can be compared to a candidate solution with a Two-sample Kolmogorov-Smirnov test [19]. Some parameters may only represent categorical values, which can be compared with a nominal statistical test [20]. Finally, other results indicate potential individual target values for the melodies, such as the tempo of each melody, which can be directly included in objective function values as the distance from the target.…”
Section: Automatic Objective Functionsmentioning
confidence: 98%