Research Article

A New Theoretical Interpretation of Measurement Error and Its Uncertainty

Table 6

Conceptual logic difference between the two theories.

Traditional measurement theoryNew conceptual measurement theory

The measured value is a random variable because it changes randomly in repeated measurementsThe measured value is a numeric value and is a constant
The true value is a constant because it remains constant during repeated measurementsThe true value is unknown and is a random variable that needs to be described by a probability range
The best measured value is given by random error analysisThe best measured value is given by analyzing the randomness of errors
With the true value as the reference center, submit the evaluation of the deviation and dispersion (reproducibility) of the measured valueWith the measured value as the reference center, submit the evaluation value of the probability range that the true value deviates from the measured value
The errors are divided into systematic and random classificationsThe errors are not divided into systematic and random classifications