caa a22 4500 469129859 CHVBK 20180323133201.0 cr unu---uuuuu 170328e19920901xx s 000 0 eng 10.1007/BF00324833 doi (NATIONALLICENCE)springer-10.1007/BF00324833 The degree of efficiency, the degree of reproducibility and the equivalence probability in statistical comparisons of analytical methods for the determination of tin in tin ores [Elektronische Daten] [W. Rasemann, H. Peter] Summary: In most cases investigations concerning the reproducibility of different analytical methods for the determination of tin in tin ores consist only in comparisons of means, i.e. detection of systematic errors. The fact that the methods use different calibrating procedures, on the one hand, and that their accuracy varies, on the other hand, makes it necessary, to look for more sensitive criteria. For this purpose, the degree of efficiency regarding the determination of the true mean of a reference method, the degree of (mutual) reproducibility, and the equivalence probability are defined and their meaning is statistically interpreted. The degree of efficiency ɛ of any two methods is defined as the ratio of their mean square errors in determining the true mean of a reference method. This quantity can be described by the ratio of the upper bounds for the probabilities of an error by the two methods. The degree of reproducibility P* of different analytical methods we understand as minimal probability of comparable measuring results. The equivalence probability Pe is defined as a-posteriori probability of the hypothesis that the two distribution functions considered are identical. The criteria ɛ, P* and Pe seem to be more suitable for statistical comparisons as compared to known statistical standard procedures, such as the t-test criterion. The applicability of these quantities was checked by the example of 6 different methods for the determination of tin in tin ores. For this purpose, it was necessary to evaluate objectively the efficiency of sample division in order to get reproducible final samples for analysis using the hierarchical two-way classification of variance analysis. General knowledge concerning the analytical methods used could be completed. Springer-Verlag, 1992 Rasemann W. Forschungsinstitut für Aufbereitung, WIP-Gruppe, Chemnitzer Strasse 40, O-9200, Freiberg, Germany aut Peter H. Forschungsinstitut für Aufbereitung, WIP-Gruppe, Chemnitzer Strasse 40, O-9200, Freiberg, Germany aut Fresenius' Journal of Analytical Chemistry Springer-Verlag 344/1-2(1992-09-01), 8-15 0937-0633 344:1-2<8 1992 344 216 https://doi.org/10.1007/BF00324833 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF00324833 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Rasemann W. Forschungsinstitut für Aufbereitung, WIP-Gruppe, Chemnitzer Strasse 40, O-9200, Freiberg, Germany aut NATIONALLICENCE 700 1- Peter H. Forschungsinstitut für Aufbereitung, WIP-Gruppe, Chemnitzer Strasse 40, O-9200, Freiberg, Germany aut NATIONALLICENCE 773 0- Fresenius' Journal of Analytical Chemistry Springer-Verlag 344/1-2(1992-09-01), 8-15 0937-0633 344:1-2<8 1992 344 216 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer