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American Institute of Aeronautics and Astronautics

    Course Outline

    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

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