# A New Theoretical Interpretation of Measurement Error and Its Uncertainty

## TL;DR

This paper reinterprets measurement error variance as a probability interval rather than dispersion, challenging traditional views and clarifying conceptual and methodological implications.

## Contribution

It introduces a new theoretical perspective that redefines measurement error variance as a probability interval, correcting a fundamental misconception.

## Key findings

- Variance is a probability interval of error, not dispersion.
- Traditional interpretation of variance as dispersion is incorrect.
- New interpretation clarifies measurement error analysis.

## Abstract

The traditional measurement theory interprets the variance as the dispersion of a measured value, which is actually contrary to a general mathematical concept that the variance of a constant is 0. This paper will fully demonstrate that the variance in measurement theory is actually the evaluation of probability interval of an error instead of the dispersion of a measured value, point out the key point of mistake in the traditional interpretation, and fully interpret a series of changes in conceptual logic and processing method brought about by this new concept.

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Source: https://tomesphere.com/paper/1704.03812