Measurement analysis in uncertainty space

Uncertainty due to measurement repetition is quantified by transforming data from measurement space to uncertainty space using transition equations. Measured data is fit with a reference function that serves as the basis for the envelope used in uncertainty space to quantify measurement uncertainty. This method's sampling criterion which prevents information loss also uses the reference function. The method quantifies uncertainty in terms of the random effects associated with a measurement system and the uncertainty associated with the finite resolution capabilities of the measurement system. Uncertainties calculated using the proposed method were equal to expanded uncertainties (k = 2) calculated using the standard method. This nonparametric method for uncertainty analysis quantifies uncertainty due to measurement repetition and establishes that the uncertainty due to data discretization is the minimum achievable uncertainty.