An Introduction to Error Analysis The Study of Uncertainties in Physical Measurements Data Reduction and Error Analysis for the Physical Sciences accuracy precision Accuracy Precision  systematic err
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An Introduction to Error Analysis The Study of Uncertainties in Physical Measurements Data Reduction and Error Analysis for the Physical Sciences accuracy precision Accuracy Precision systematic err

1 02 03 04 05 06 07 08 09 1 Measured Value of x Fraction of Total Measurements SD 01 SD 02 SD 03 brPage 5br mean standard deviation histogram Figure 3 Mass of Unknown Sample 102 104 106 108 11 112 114 116 118 12 Mass kg of Measurements brPage 6br

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An Introduction to Error Analysis The Study of Uncertainties in Physical Measurements Data Reduction and Error Analysis for the Physical Sciences accuracy precision Accuracy Precision systematic err




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Presentation on theme: "An Introduction to Error Analysis The Study of Uncertainties in Physical Measurements Data Reduction and Error Analysis for the Physical Sciences accuracy precision Accuracy Precision systematic err"— Presentation transcript:


Page 1
An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements Data Reduction and Error Analysis for the Physical Sciences accuracy precision Accuracy Precision
Page 2
systematic errors random errors High precision High accuracy Low precision High accuracy Low precision Low accuracy High precision Low accuracy
Page 3
Error
Page 4
Difference distribution mean standard deviation x> () xxx x x NN ==+++++ () xi xx Figure 2: Measured Values of x 10 12 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1 Measured Value of x Fraction of Total

Measurements SD = 0.1 SD = 0.2 SD = 0.3
Page 5
mean standard deviation histogram Figure 3: Mass of Unknown Sample 1.02 1.04 1.06 1.08 1.1 1.12 1.14 1.16 1.18 1.2 Mass (kg) # of Measurements
Page 6
() mkgkg == () mi mkg kg −=