<abstract xmlns="http://www.w3.org/1999/xhtml">In practice, measurement results are sometimes described by an estimate, which is not the best one as defined in the <italic>GUM</italic>. Such alternative estimates arise when the result of a measurement is not corrected for all systematic effects. No recommendation exists in the <italic>GUM</italic> for associating an uncertainty with an uncorrected estimate.A common choice in guidelines and in the literature is the uncertainty <inline-formula><alternatives><inline-graphic xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="graphic/j_msr-2019-0026_eq_001.png"></inline-graphic><math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mrow><mi>u</mi><mrow><mo>(</mo><msup><mi>y</mi><mo>′</mo></msup><mo>)</mo></mrow><mo>=</mo><msqrt><mrow><msup><mrow><mi>u</mi></mrow><mn>2</mn></msup><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow><mo>+</mo><msup><mrow><mrow><mrow><mo>(</mo><mrow><mi>y</mi><mo>-</mo><msup><mi>y</mi><mo>′</mo></msup></mrow><mo>)</mo></mrow></mrow></mrow><mn>2</mn></msup></mrow></msqrt></mrow></math><tex-math>u\left( {y'} \right) = \sqrt {{u^2}\left( y \right) + {{\left( {y - y'} \right)}^2}}</tex-math></alternatives></inline-formula> for an alternative estimate <italic>y</italic>′. It arises from the expected quadratic loss, on which, also in the <italic>GUM</italic>, the standard uncertainty <italic>u</italic>(<italic>y</italic>), and the best estimate <italic>y</italic> are based. However, such an uncertainty is not a standard uncertainty and we establish, it may not be used for uncertainty propagation.One consequence is, for example, that pairs (<italic>y</italic>′, <italic>u</italic>(<italic>y</italic>′)) are not to be used in calibration certificates.</abstract>

In practice, measurement results are sometimes described by an estimate, which is not the best one as defined in the GUM. Such alternative estimates arise when the result of a measurement is not corrected for all systematic effects. No recommendation exists in the GUM for associating an uncertainty with an uncorrected estimate.A common choice in guidelines and in the literature is the uncertainty u(y′)=u2(y)+(y-y′)2u\left( {y'} \right) = \sqrt {{u^2}\left( y \right) + {{\left( {y - y'} \right)}^2}} for an alternative estimate y′. It arises from the expected quadratic loss, on which, also in the GUM, the standard uncertainty u(y), and the best estimate y are based. However, such an uncertainty is not a standard uncertainty and we establish, it may not be used for uncertainty propagation.One consequence is, for example, that pairs (y′, u(y′)) are not to be used in calibration certificates.

About not Correcting for Systematic Effects

Measurement Science Review

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"About not Correcting for Systematic Effects"}

In practice, measurement results are sometimes described by an estimate, which is not the best one as defined in the GUM. Such alternative estimates arise when...

About not Correcting for Systematic Effects

Pubblicato online: 07 ott 2019

Pagine: 204 - 208

Ricevuto: 06 mag 2019

Accettato: 30 ago 2019

DOI: https://doi.org/10.2478/msr-2019-0026

Parole chiave
Systematic effect, correction, uncorrected estimate, GUM, standard uncertainty, consistency, transferability

© 2019 Katy Klauenberg et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

About not Correcting for Systematic Effects

Pubblicato online: 07 ott 2019

Pagine: 204 - 208

Ricevuto: 06 mag 2019

Accettato: 30 ago 2019

DOI: https://doi.org/10.2478/msr-2019-0026

Parole chiaveSystematic effect, correction, uncorrected estimate, GUM, standard uncertainty, consistency, transferability

© 2019 Katy Klauenberg et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Parole chiave
Systematic effect, correction, uncorrected estimate, GUM, standard uncertainty, consistency, transferability