Question

What is the root-sum-square uncertainty model?

Answer 1

let’s assume that we are estimating uncertainty in measurements. we have got known the influencing factors, quantified the magnitude of their contribution, and reduced them to a typical uncertainty. Now, consequent step is to mix the freelance uncertainty elements to calculate ‘Combined Uncertainty.’ this is often the step you'll have to be compelled to take before conniving ‘Expanded Uncertainty.’

The goal of mixing uncertainty is to calculate the entire magnitude of uncertainty from a

group of independent uncertainty elements, every with their own varied degrees of magnitude. it's a standard method lined within the GUM and lots of alternative activity uncertainty guide.

Combined Uncertainty

Combined Uncertainty is that the square-root of the linear addition of square customary uncertainty elements. This methodology is additionally called ‘Summation in Quadrature’ or ‘Root sum of the Squares.’ every part is that the product (i.e. results of multiplication) of the standard uncertainty and its associated sensitivity constant. By combining these elements, we have a tendency to are trying to estimate the entire magnitude of uncertainty related to our evaluated activity system or method

For example if 3 components have uncertainty with sensitivity coefficient 1 and also given that

C1= 1 =C2=C3

u(x1)= 5ppm

u(x2)= 2ppm

u(x3)=3 ppm

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