Accuracy of a measurement refers to how close the measured value is to the
true or actual value of the quantity being assessed. Precision describes how
close multiple measurements are to each other, regardless of how close they
are to the true value. Now, I will search for definitions of mean absolute
error, relative error, and percentage error.search_web queries: ["mean
absolute error definition","relative error definition","percentage error
definition"]{
"queries": [
"mean absolute error definition",
"relative error definition",
"percentage error definition"
]
}Accuracy means how close a measurement is to the true value, and precision
means how close repeated measurements are to each other. Mean absolute error
is the average of the absolute differences between measured values and the
true value. Relative error is the absolute error divided by the true value,
showing error in proportion to the true value. Percentage error is the
relative error expressed as a percentage.
Accuracy and Precision
- Accuracy: Closeness of measurement to the actual value.
- Precision: Closeness of repeated measurements to each other.
Mean Absolute Error (MAE)
- Defined as the average of the absolute errors between measurements and the true value.
- Represents typical magnitude of measurement errors without considering their direction.
Relative Error
- The ratio of the absolute error to the true value.
- Indicates how large the error is relative to the size of the true value.
Percentage Error
- The relative error multiplied by 100 to express error as a percentage.
- Commonly used to convey error magnitude in percentage terms.
Each concept helps quantify measurement quality and error types observed during experiments or data collection.
