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The American Institute of Aeronautics and Astronautics (AIAA)

is the world's largest technical society dedicated to the global aerospace profession.

# Basic Measurement Uncertainty, Methods and Applications

#### Course Outline:

I. Outline
II. Related Documents
III. Fundamentals
IV. Measurement Error
V. Random Error (precision)
A. SX, SX
B. Student's Table
VI. Uncertainty and Repeatability
VII. Systematic Error (bias)
VIII. Measurement Uncertainty Model
IX. Degrees of Freedom
X. Lexicon, ISO & US/ASME
XI. U95 Calculation Example
A. Degrees of Freedom
XII. Error and Uncertainty
XIII. Calculating Random Uncertainty
XIV. Obtaining Systematic Uncertainties
XV. How to do it summary
XVI. Calibration Uncertainties
XVII. Pre- and Post- Test Analysis
XVIII. Conclusions
XIX. Statistical Considerations
XX. SX
XXI. Pooling SX
XXII. Use of Student's t
XXIII. Uncertainty/Error Propagation
XXIV. Taylor's Series (independent error sources)
XXV. Taylor's Series (non-independent error sources)
XXVI. Compressor Efficiency Example
XXVII. Difficulties, Recommendations, Illustrations
XXVIII. General Expression
XXIX. Weighting by Uncertainty
XXX. Applied Considerations
XXXI. Choice of Units
XXXII. Outliers
A. Thompson's Tau at 5% Significance
XXXIII. Correlation
A. General t-statistic equation
XXXIV. Probability Plots
A. Benard's Formula
B. How to do it summary
XXXV. Instrument Vendor Uncertainty Specifications
XXXVI. Conclusions/Review

PLUS:
Two class experiments: class weight and calibration/propagation
Fourteen in-class homework problems worked and explained