Course Introduction
The Concept of Uncertainty
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The Concept of Uncertainty Handout
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The Best Uncertainty Statement (3:55)
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Uncertainty and Error (4:27)
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Random Error (5:13)
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Systematic Error (5:52)
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Error Variation (2:47)
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The Limitations of the Experimental Approach (7:52)
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Causes of Error (8:35)
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Types of Error (6:18)
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Theory vs Experiment (7:48)
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The Goal of Uncertainty Estimation (9:23)
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Summary (4:11)
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Quiz 1: The Concept of Uncertainty
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Quiz 1 Feedback
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Example Part 1: Defining the Measurement Process (5:36)
Identifying Uncertainty Contributors
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Identifying Uncertainty Contributors Handout
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The Circle of Uncertainty Contributors (3:55)
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The Environment (4:28)
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The Reference Element and the Measuring Equipment (4:40)
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Measurement Set-up (1:59)
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Software and Calculations (6:31)
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The Metrologist (1:55)
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The Measurement Object and the Measurand (4:23)
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The Measuring Procedure and Physical Constants (3:05)
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Sources of Information (6:19)
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Quiz 2: Identifying Uncertainty Contributors
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Quiz 2 Feedback
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Example Part 2: Brainstorming Uncertainty Contributors (9:09)
Modelling the Measurement Process
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Modelling the Measurement Process Handout
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The Mathematical Model of the Measurement Process (6:12)
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A Complex Equation (3:38)
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Getting to Independent Contributors (3:11)
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Thermal Expansion Part 1: Correlated Contributors (6:36)
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Thermal Expansion Part 2: Assuming Identical Thermal Expansion Coefficients (5:01)
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Thermal Expansion Part 3: Assuming Identical Temperature (3:34)
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Thermal Expansion Part 4: Independent Contributors (6:04)
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The Appropriate Level of Detail (4:21)
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The Interaction of Repeatability and Resolution (5:14)
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Correcting for a Known Error and Implementation vs Measurement Uncertainty (5:37)
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Summary of Modelling the Measurement Process (2:59)
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Quiz 3: Modelling the Measurement Process
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Quiz 3 Feedback
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Example part 3: Consolidating uncertainty contributors (10:16)
The GUM Method
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The GUM Method Handout
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Introduction to the GUM method (5:56)
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Type A evaluation (6:52)
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Type B evaluation (2:45)
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Type A and type B: Highway speed example (11:43)
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Standard uncertainty (3:13)
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Distributions for type B evaluations (12:52)
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What if I pick the wrong distribution? (4:29)
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Type A and type B summary (2:59)
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Combined standard uncertainty and the central limit theorem (8:59)
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The coverage factor, k, and its purpose (3:32)
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Quiz 4: The GUM method
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Quiz 4 Feedback
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Example part 4a: Temperature difference (10:57)
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Example part 4b: Difference in thermal expansion coefficients (8:18)
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Example part 4c: Scale error (4:35)
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Example part 4d: Resolution (4:25)
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Example part 4e: Parallelism of jaws (4:25)
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Example part 4f: Repeatability and reproducibility (simple study) (6:37)
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Example part 4g: Combined standard uncertainty and expanded uncertainty (3:34)
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Example part 4h: Repeatability and reproducibility from an AIAG GR&R study (7:12)
Uncertainty Budgeting
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Uncertainty Budgeting Handout
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Overview (1:51)
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Sensitivity Coefficients (3:33)
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Average Slope over the Uncertainty Range (2:54)
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Sensitivity Coefficients Example (10:14)
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Correlation (7:47)
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Documenting an Uncertainty Budget (2:15)
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Type A Evaluations (6:33)
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Type B Evaluations and Equations (2:19)
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Sufficient Level of Detail (2:04)
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Linearization (7:49)
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Uncertainty Budgeting Summary (1:45)
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Quiz 5: Uncertainty Budgeting
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Quiz 5 Feedback
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Example Part 5 (4:22)
The PUMA Method
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The PUMA Method Handout
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PUMA Method Introduction (3:54)
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The PUMA Diagram (1:17)
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The Initial Uncertainty Budget (6:12)
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PUMA Example Part 1 (3:54)
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The Uncertainty Budget Loop (2:58)
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The Measurement Conditions Loop (3:05)
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The Measurement Principle Loop (1:27)
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PUMA Example Part 2 (3:33)
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The Measurement Task Loop (3:40)
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Using the PUMA Method for Measurement Process Design (5:00)
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Measurement Process Design Methodology (1:39)
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Measurement Process Design Example Part 1 (3:44)
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Measurement Process Design Example Part 2 (3:28)
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Quiz 6: The PUMA Method
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Example Part 6 (7:26)
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Quiz 6 Feedback
Course Summary
