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Intermediate Lab PHYS 3870

Intermediate Lab PHYS 3870. Lecture 3 Quantifying Errors. Intermediate Lab PHYS 3870. Precision and Random (Statistical) Errors References: Taylor Ch. 2, 3 Also refer to “Glossary of Important Terms in Error Analysis”. Precision and Accuracy. Testing a Model?.

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Intermediate Lab PHYS 3870

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  1. Intermediate Lab PHYS 3870 Lecture 3 Quantifying Errors

  2. Intermediate Lab PHYS 3870 Precision and Random (Statistical) Errors References: Taylor Ch. 2, 3 Also refer to “Glossary of Important Terms in Error Analysis”

  3. Precision and Accuracy

  4. Testing a Model?

  5. Intermediate Lab PHYS 3870 Precision and Random (Statistical) Errors

  6. Precision and Random (Statistical) Error

  7. Precision and Random (Statistical) Error 123.45 1 2 3 …

  8. Reading a Vernier Scale A vernier scale provides a way to gain added precision from an instrument scale

  9. Quantifying Precision and Random (Statistical) Errors

  10. Standard Deviation

  11. Standard Deviation of the Mean

  12. Intermediate Lab PHYS 3870 The Ruler Exercise

  13. Using the ruler provided, measure the width of the conference table. • Record, on the board, your “best” value and an estimate of the random error (the precision of your measurement) • Name Ruler Type Measured Value . The Ruler Exercise

  14. The Ruler Exercise

  15. Intermediate Lab PHYS 3870 Accuracy and Systematic Errors

  16. Accuracy and Systematic Error

  17. Accuracy and Systematic Error

  18. Precision is defined as a measure of the reproducibility of a measurement Such errors are called random (statistical) errors. If an experiment has small random error, it is said to have high precision. Accuracy is a measure of the validity of a measurement. If an experiment has small systematic error, it is said to have high accuracy. Random and Systematic Errors

  19. Comparison with Other Data Comparison of precision or accuracy?

  20. Direct Comparison with Standard Comparison of precision or accuracy?

  21. Errors in Models—Error Propagation

  22. Specific Rules for Error Propogation

  23. Independent Uncertainties

  24. Specific Rules for Error Propogation

  25. Independent (Random) Uncertaities and Gaussian Distributions

  26. General Formula for Error Propagation

  27. General Formula for Error Propagation

  28. General Formula for Multiple Variables

  29. A Complex Example for Multiple Variables

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