Measurement Uncertainty Budgets

  • Delivery Option: Public & On-Site
  • Subject Category: Technical
  • Cost: $845
  • Number of Days: 2

Course Summary

This workshop presents a combination of lecture and classroom exercises to demonstrate the principles of measurement uncertainty analysis.


“The course has given me a better understanding of the importance of understanding/knowing uncertainty.” – Ryan, IL

“Learned a lot. Haven’t had to think this hard in quite some time. Great all around learning experience.” – Doug, MI

“Very good exposure to measurement. I was inspired to do more research in order to properly put to practical us.” – Vincent, SC

Target Audience

Calibration technicians, quality managers, engineers, quality technicians, and other users of uncertainty budgets.


Students must bring a scientific calculator, such as the TI30Xa, to each class. Students must also supply their own laptop with permission to install free software.

Course Objectives

QC Training Services’s Measurement Uncertainty Budgets class is perfect for calibration technicians, quality managers, engineers, quality technicians, and other users of uncertainty budgets. All measurements are subject to uncertainty and a measured value is only complete if it is accompanied by a statement of the associated uncertainty. This class will help you calculate the probability of the uncertainty and ensure your measurement system is compliant with ISO 17025. Covered in the training will be basic terminology, basic statistical concepts, computations and correlations, as well as how to analyze and interpret data. Within this class we will also review the ISO Guide to the Expression of Uncertainty in Measurement (GUM).


  • Basic Terminology
    • Why do we need uncertainty and what is it?
    • Importance of uncertainty in measurements
    • Uncertainty analysis concepts
    • Measurements, error and uncertainty
    • Uncertainty components (contributors to error)
    • Random and systematic errors
  • Basic Statistics Concepts
    • Populations and Samples
    • Data, means, modes and medians
    • Standard deviation and variance
    • Distributions
    • RSS (Root-sum-squares)
    • Confidence levels
    • Combination of uncertainties
    • Statistical math for uncertainty analysis
    • The analysis process
    • Type A computations
    • Type B computations
    • Combining uncertainties (Applying RSS)
    • Correlated and uncorrelated data
    • Sensitivity coefficients (multipliers for weighting)
    • Degrees of freedom
    • Expanded uncertainty
  • Understanding the Uncertainty Budget
    • Role in accreditation, liability, traceability
    • Accepted definitions of uncertainty, e.g., GUM (others?)
    • Analyzing and interpreting data
    • Uncertainty statements and notes
  • Controlling Measurements and Processes
    • Measurement assurance programs
    • Check standards
    • Control charts
    • Error budgets
  • Reporting Uncertainty
    • ISO Guide to the Expression of Uncertainty in Measurement
  • Developing an Uncertainty Budget
    • Evaluation of accuracy ratios for instruments
    • Quantifying random uncertainties (examples and problems)
    • Quantifying systematic uncertainties (examples and problems)
    • Addition of notes
Note: We also offer an abbreviated version of this course, Measurement Uncertainty Overview.


The student is encouraged to bring a scientific calculator with trig functions, such as the TI30Xa, to class.