= Measurement uncertainty budget
A record of uncertainty contributions in a specified measurement model, their evaluation methods, sensitivity coefficients and relevant <correlations>. For $y=g(x_1,\ldots,x_n)$, first-order <propagation of uncertainty> gives $u_y^2=\sum_{ij}(\partial_i g)(\partial_j g)\operatorname{Cov}(x_i,x_j)$. A correction for a known <systematic error> can itself have uncertainty; applying the correction does not remove that contribution.<Guidelines for Evaluating and Expressing the Uncertainty of NIST Measurement Results by Barry N. Taylor and Chris E. Kuyatt>[sections 4–5 and Appendix A]{ref}
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