lec05_handout

lec05_handout - Error Analysis - Statistics Accuracy and...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
ME365 Statistics 1 Error Analysis - Statistics Accuracy and Precision Individual Measurement Uncertainty – Distribution of Data – Means, Variance and Standard Deviation –C o n f i d e n c e I n t e r v a l Uncertainty of Quantity calculated from several Measurements – Error Propagation Least Squares Fitting of Data Hypothesis Testing - χ 2 Test ME365 Statistics 2 Accuracy and Precision Accuracy Closeness of the data (sample) to the “true value.” Precision Closeness of the grouping of the data (sample) around some central value.
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ME365 Statistics 3 Accuracy and Precision Inaccurate & Imprecise Precise but Inaccurate Relative Frequency X Value True Value X Value True Value ME365 Statistics 4 Accuracy and Precision Accurate but Imprecise Precise and Accurate X Value True Value X Value True Value
Background image of page 2
ME365 Statistics 5 Accuracy and Precision Q: How do we quantify the concept of accuracy and precision? -- How do we characterize the error that occurred in our measurement? ME365 Statistics 6 Individual Measurement Statistics • Take N measurements: x 1 , . . . , x N • Calculate mean and standard deviation: • What to use as the “best value” and uncertainty so we can say we are Q% confident that the true value lies in the interval ݔ ௕௘௦௧ േΔݔ .
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
ME365 Statistics 7 Population and Sample Parent Population The set of all possible measurements.
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 10

lec05_handout - Error Analysis - Statistics Accuracy and...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online