Dictionary · Uncertainty

Welch–Satterthwaite formula

The formula for estimating the effective degrees of freedom of a combined standard uncertainty from the degrees of freedom of its components — used to select a coverage factor from the t-distribution.

Source
GUM (JCGM 100:2008) G.4
Discipline
Uncertainty

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Related terms

More from Uncertainty

Type B evaluation of measurement uncertainty

Evaluation of a component of uncertainty by means other than statistical analysis of current measurements — calibration certificates, specifications, handbook data, assumed distributions.

VIM (JCGM 200:2012) 2.29

Standard measurement uncertainty

Measurement uncertainty expressed as a standard deviation, denoted u — the common currency into which all components are converted before combination.

VIM (JCGM 200:2012) 2.30

Coverage probability

The probability that the set of true quantity values of a measurand is contained within a specified coverage interval — commonly 95 % in calibration practice.

VIM (JCGM 200:2012) 2.37

Combined standard measurement uncertainty

The standard uncertainty obtained from the individual standard uncertainties (and covariances) of the input quantities through the measurement model — root-sum-of-squares in the uncorrelated case, denoted u꜀.

VIM (JCGM 200:2012) 2.31

Coverage interval

The interval containing the set of true quantity values of a measurand with a stated probability, based on available information — unlike a classical confidence interval, not necessarily centred on the measured value.

VIM (JCGM 200:2012) 2.36

Definitional uncertainty

The component of uncertainty resulting from the finite detail in the definition of the measurand itself — the floor below which no better procedure can go without redefining the quantity.

VIM (JCGM 200:2012) 2.27