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   <subfield code="a">(NATIONALLICENCE)springer-10.1007/s00769-015-1161-0</subfield>
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   <subfield code="a">Overcoming constraints of the control charting approach for measurement uncertainty assessments</subfield>
   <subfield code="h">[Elektronische Daten]</subfield>
   <subfield code="c">[Amaury Borges-Miranda, Isabel Marquez-Leyva, Carlos Pérez-Martínez, Juan Jiménez-Chacón, Manuel Álvarez-Prieto]</subfield>
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   <subfield code="a">This report proposes an alternative approach for measurement uncertainty estimation avoiding the two main limitations of the control charting approach in a context were certified reference materials are unavailable. The procedures under study estimated the mass fraction of total alkaloids as nicotine and Kjeldahl total nitrogen in powdered samples of air-cured leaves of Cuban cigar tobacco. The intermediate precision estimated from results of different analysts was evaluated in parallel at three levels of mass fraction trough a spiking experiment using test portions of a one composite non-certified reference material per procedure and a balanced fully nested design. The systematic effect component was estimated in the same mass fraction levels but using a different set of samples covering a wide range of the typical routine test materials. An iterative re-weighted least squares linear regression analysis was performed between the results obtained through the assessed procedure with those attained from a reference one which analyses the same measurand. The estimation was then carried out using a proposed mathematic expression derived from the application of the uncertainty propagation law to the equation for bias estimation for every reference concentration. The uncertainty associated with bias estimation was furthermore evaluated over the whole mass fraction range considered in the procedure comparison study. The interpretation of the evaluated parameters is discussed regarding the specifics analytical characteristics of each procedure.</subfield>
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   <subfield code="a">Springer-Verlag Berlin Heidelberg, 2015</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">Measurement uncertainty</subfield>
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   <subfield code="a">Non-certified reference materials</subfield>
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   <subfield code="a">Spiking experiment</subfield>
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   <subfield code="a">Iterative re-weighted least squares linear regression analysis</subfield>
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   <subfield code="a">Validation</subfield>
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   <subfield code="a">w obs : Observed mass fraction of the analyte (from the assessed procedure) represented in the ordinate (y) axis</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">w ref : Reference mass fraction of the analyte represented in the abscissa (x) axis</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">δ : Estimated bias</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u 2( a ) : Variance of the intercept</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u 2( b ) : Variance of the slope</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u ( w ref, i ) : Uncertainty of the ith reference value</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u 2( w obs, i ) : Variance of the ith data obtained by the assessed procedure</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">$$\bar{w}_{{{\text{ref}},i}}$$ w ¯ ref , i : Mean of the ith reference value</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u c : Combined standard uncertainty</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u ( δ ) : Uncertainty of the bias estimation</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">u c /w obs : Relative combined standard uncertainty</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">U : Expanded uncertainty (k=2)</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">U/w obs : Relative expanded uncertainty (k=2)</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">s ta : Standard deviation under intermediate precision estimated from results obtained at different times by different analysts</subfield>
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   <subfield code="a">a : Intercept of a linear regression equation</subfield>
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   <subfield code="a">b : Slope of a linear regression equation</subfield>
   <subfield code="2">nationallicence</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">W i : Weight for the ith data point</subfield>
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  <datafield tag="690" ind1=" " ind2="7">
   <subfield code="a">n : Number of measurements</subfield>
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   <subfield code="b">Springer special CC-BY-NC licence</subfield>
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