Propagating Errors

Propagating Errors in Calculations

An observational uncertainty needs to be propgated through any calculation. If the uncertainties are independent of each other, then the uncertainty of y(x,z) аis given byа



where sigma_y is the uncertainty in y, sigma_x is the uncertainty in x, sigma_z is the uncertainty in z, and there are two partial derivatives of y. As long as the uncertainties are independent of each other, then more terms can be added in quadrature. See theаPropagation of Errorsаpage.

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