Numerical Simulation and Application of the Range Coefficient in Range Method

The range coefficient in the range method for standard uncertainty evaluation is simulated based on Monte Carlo simulation. The reference values of the range coefficients are given for the uncertainty evaluation by the range method under the condition that the overall input quantities obey different distributions. The accuracy of the calculated coefficients is verified by comparing them with the experimental standard deviations calculated by the Bessel formula. It is also found that the experimental standard deviations can be calculated easily and accurately by substituting the corresponding reference values of the range coefficients into the range method when the overall distribution of the input quantities is known. Finally, the differences of the range deviation coefficients under different distributions are compared, and the relationship between the number of measurements, the probability distribution function and the choice of range deviation coefficients is given.ice of range deviation coefficients is given.evaluation. In the end, by analyzing the difference of range coefficients calculated under the different population distributions, the relationship among the number of measurements, probability distribution, and the selection of range coefficient is demonstrated.