Equation 1 · How Scientific Instruments and Metrology Actually Work
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the if a measurement result. Read the equation part by part below; each part has a contextual explanation and a link to its mathematical background.
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The GUM’s central move is to treat every measured or estimated quantity a result depends on as a random variable with its own estimated standard uncertainty, and then to propagate those uncertainties through the mathematical relationship that produces the final result. If a measurement result y is a function of N input quantities, y = f(, , , ) , the combined standard uncertainty is obtained from a first-order Taylor expansion of that function:
Sources cited in the article section
- [2] Evaluation of measurement data — Guide to the expression of uncertainty in measurement (GUM), JCGM 100:2008 ↗
- [3] Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results ↗
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