definitions of error

definitions of error - 3.2 Uncertainty Analysis Uncertainty...

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3.2 Uncertainty Analysis Uncertainty Analysis I Quantifying the unknown and the unknowable Definitions I: Error •Th e Error , is the difference between the true value, x , and a measured value, x i : • Since, x is unknown, then so is Error . •A lw ay s . i x x Error =
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Definitions II: Uncertainty • For multiple measurements, a mean value, , can be estimated, hence: • Since x remains unknown, then Bias is still unknown. •Un c e r t a i n ty , u x , x , is an estimate of Bias . x x x Bias = Classification of errors • Systematic bias, may be measured and corrected. •R and om . The likely magnitude of the remaining error must be estimated. • Use the larger of: ( i ) instrument resolution, ( ii ) standard deviation, ( iii ) precision. •( ii ) & ( iii ) require multiple measurements
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Single sample uncertainty I Imagine a ruler with two scale resolutions: • Suppose the scale marks exactly represent the limit of our ability to locate the blob. We may say only which mark is closest.
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This note was uploaded on 10/12/2009 for the course AME 341AL at USC.

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definitions of error - 3.2 Uncertainty Analysis Uncertainty...

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