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chronicals
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I'm a bit confused, i have a question, it asks me to find ''the absolute relative approximate error'' at the end of each iteration. What's the formula of ''the absolute relative approximate error''?
Absolute Relative Approximate Error, also known as ARAE, is a measure of how close a calculated value is to the true value. It takes into account both the absolute error and the relative error, providing a more comprehensive measure of accuracy.
ARAE is calculated by taking the absolute value of the difference between the calculated value and the true value, and then dividing it by the true value. This result is then multiplied by 100 to express it as a percentage.
In scientific research, accuracy is crucial in drawing valid conclusions and making informed decisions. ARAE provides a standardized way to measure the accuracy of calculated values, making it easier to compare results and assess the reliability of data.
While absolute error measures the difference between the calculated and true values without taking into account the magnitude of the values, and relative error measures the difference as a percentage of the true value, ARAE combines both measures to provide a more comprehensive evaluation of accuracy.
ARAE is most useful when the true value is known or can be calculated accurately. It may not be as reliable when the true value is unknown or when the calculated value is close to zero. Additionally, ARAE does not take into account any systematic errors in the measurement process.