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Lecture 12

# Lecture 12 - Accuracy vs Precision Accuracy and precision...

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Accuracy vs Precision

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Accuracy - How closely a measured or computed value agrees with the true value Precision - How closely individual measured or computed values agree with each other Accuracy is getting all your shots near the target. Precision is getting them close together. Accuracy and precision More Accurate More Precise
Approximation = true value + true error E t = true value - approximation = x* - x or in percent * * x x x Value True Error True Error elative R - = = % * 100 * x x x t × - = ε Numerical Errors The difference between the true value and the approximation

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% 100 % 100 a ion approximat present approx. previous approx. present ion approximat error e approximat - = = ε Approximate Error But the true value is not known If we knew it, we wouldn’t have a problem Use approximate error % 100 x x x error Relative new old new × - =
Error Propagation Question: if x is in error, how much error does f(x) have? Important for both

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Lecture 12 - Accuracy vs Precision Accuracy and precision...

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