Absolute error and relative error are calculated: absolute error = measured value - true value. Relative Error = Absolute Error True Value. In general, the relative error is a better indicator of how confident the measurement is. Since the true value of the measured value is unknowable, its relative error cannot be accurately determined. The absolute error is intuitive and easy to understand, but the unit is the same as the unit of the measurement or **value, and it is difficult to compare the magnitude of the error in different dimensions;Relative error can eliminate the influence of dimensions, and it is easy to compare the magnitude of errors of different dimensions and magnitudes. In scientific experiments, engineering practice, and finance, both absolute and relative errors have a wide range of applications.
Absolute error and relative error calculation formula
1. Absolute error:
Absolute error = measured value - true value (agreed true value).
In the verification work, the standard of one higher level of accuracy is often used as the true value to obtain the absolute error.
2. Relative error:
Relative error = absolute error true value x 100%.
There are no units of relative error, but there are positive and negative ones.
3. Citation error:
Quotation error = indication error Upper limit of measurement range (or specified value) x 100%.
Reference error is a simplified and practical way to refer to the relative error of an instrument's representation.
If the upper limit of the measuring range is 3000N, the operating force gauge at the calibration indication of 2400N is 23928n, its citation error is -03%。
The difference between absolute error and relative error
1. Absolute error refers to the difference between the measured value and the true value, while the relative error refers to the ratio between the absolute error and the true value.
2. The absolute error can not only indicate the magnitude of the error, but also the direction of the error, while the relative error is only a dimensionless value.
3. Absolute error cannot be avoided, and relative error is an error that can be minimized.
The above is the difference between absolute error and relative error, and it is necessary to correctly understand the difference between the two when distinguishing concepts and expressing them.
Application of absolute and relative errors
Absolute error and relative error have a wide range of applications in different scenarios. In scientific experiments, we usually report absolute and relative errors of experimental results to evaluate the accuracy of the experiment. In engineering practice, we can evaluate the accuracy of a model by comparing absolute and relative errors. In addition, in the financial sector, absolute and relative errors are also used to assess the risk and return of a portfolio.