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| In several previously published papers, the author proposed a new thinking of measurement theory based on error non-classification philosophy. Based on the new concepts, this paper re-interprets the basic principle of measurement error theory completely from the perspective of mathematics, re-proves the concept logic of error classification and the dispersion concept of uncertainty in existing measurement theory are actually incorrect, and gives a new interpretation method for error evaluation principle and measurement uncertainty concept. Its core ideas are, standard deviation is the evaluation of the probable range of an error instead of the dispersion of a measurement result, and any error has a standard deviation to evaluate its probable range. |
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| Keywords:measurement error; standard deviation; variance; uncertainty; precision |
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