The Uncertainty of Measurements as a Tool for Evaluating the Adequacy of the Mathematical Measurement Model

Abstract

The article offers a new way of estima-ting the influence of random and methodical errors to the result of measurement for the measurement uncertainty index. The ratio of the difference between theo-retical and experimental data is proposed from the average error of their determination for the quantitative indicator of the influence of methodical error. The ratio of the uncertainty in the measurement of experimental data to the uncertainty in measuring theoretical data for a quantitative measure of the effect of a random error is proposed. These indicators are based on the assumption that the theoretical and experimental data are normally distributed. The theoretical distribution va-ries within the total uncertainty of measurement of type B of the parameter under study. The physical essence of the indicator of the influence of the metho-dical error is the probability with which the results of measuring the average value of the indicator (determined experimentally) are within the li-mits of a possible deviation of the theoretical value of this indicator. Figure — 3. Table 1. References — 14.