Bias, Precision, Total Error Pat Ellsworth ITEP. 2 Bias Error How far off, generally in one...
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Transcript of Bias, Precision, Total Error Pat Ellsworth ITEP. 2 Bias Error How far off, generally in one...
Bias, Precision, Total ErrorBias, Precision, Total Error
Pat EllsworthPat Ellsworth
ITEPITEP
2
Bias Error
• How far off, generally in one direction, your measurement is from the truth
• AKA: Systematic error
3
Quantifying Bias Error
• Expressed as percentage (multiply by 100)If bias error = 0.02, express as 2%
• Bias error can be positive or negative
4
Quantifying Bias Error (cont.)
• Find bias error• True ozone concentration is 80 ppb • Your measurement is 75 ppb
• What is the bias error?• Express as %
Bias Error
What might cause bias error?
6
Precision Error
• How well your measurements of the same thing agree with each other
• AKA: Random error
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Quantifying Precision Error
two) the(of Average
BResult -A Result error PRECISION
• Expressed as percentageIf precision error = 0.02, express as 2%
• Precision error of 2 measurements in percent form can be called Relative Percent Difference, or RPD
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Quantifying Precision Error (cont.)
• Find precision error • First ozone measurement is 95 ppb • Second ozone measurement is 89 ppb
• What is the precision error?• What is the relative percent difference
(RPD)?
Precision Error
What might cause precision error?
10
Bias Error & Precision Error: Examples
Small precision error
Large bias error
Moderate precision error
Large bias error
Small precision error
Small bias error
Large precision error
Small bias error (average of hits)
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Accuracy
• How much an observed value agrees with a reference or standard value
• Combination of precision error (random error) and bias error (systematic error)
12
Total Error
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What does all of this have to do with me?
• EPA standards for monitoring
• Precision error <10%
• Bias error <10%
• Total Error ≤10% using measurement against a standard