Uncertainty Analyses - Training Course

Jan  Nielsen

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Uncertainty Analyses - Training Course

Registration and date of the course

Price: 1850 EURO

Do you have trouble with uncertainty estimation? This three-day course will give you the thorough basis you need to develop, handle and use uncertainty analysis, explains the principles, practical methods and underlying terms such as measurements, traceability, uncertainty and calibration. The emphasis is to ensure that you can apply the techniques and knowledge at your own workplace.

Who should attend?
The course is designed to provide value for senior technicians, engineers and technical staff from a wide range of industries, calibration and testing laboratories involved in making, reporting and design of measurements and for personnel auditing or establishing measurement traceability under an ISO quality system. The course is suitable for participants with or without previous measuring experience. The course curriculum is applicable to both calibration and manufacturing processes.

Participants should have a basic level of mathematics; multiplication, division, use of graphs and tables. Basic experience with Excel spreadsheets would also be advantageous.

Course content
The course curriculum is based on Danish Technological Institute’s more than 100 years of experience in designing test setups, calibration in various fields, verification and as a leading partner in industrial development for Danish and international companies. This experience includes e.g. measurement of temperature, flow, pressure, mass, force as well as operation of data acquisition systems.

The course covers the practical and theoretical aspects of ensuring traceability in measurements with emphasis on methods for use and calibration of equipment. It will provide you with a set of skills and tools that you can immediately use at your workplace. The course will give you a clear step-by-step approach to uncertainty estimation with practical examples and you will learn techniques covering the whole process from identifying the sources of uncertainty in your measurements to completing the uncertainty analysis. The course also outlines statistical decision making.

The course curriculum is based on examples. The fundamental concepts are taught by exploring a variety of real world applications and the necessary statistical concepts are reinforced based on numerical simulation and exercises to develop the practical skills. Discussion time is included for participants who wish to raise specific points and the course is designed to be highly interactive to enable you to emphasise the practical consequences of the ideas and techniques. There will be a number of theoretical exercises during the course.

The course includes an exam, a certificate of participation and a certificate of the exam result.

Course Outline


Day one

Day two

Day three

Session 1

Welcome, introduction, guidelines and fundamental concepts of uncertainty (L)

Evaluation of uncertainty in 5 steps – continued: combined uncertainty (L+TE)

Resume of basic concepts And equations (L+TE)

Session 2

Evaluation of uncertainty in 5 steps: model equation, uncertainty sources (L+TE)

Evaluation of uncertainty in 5 steps – continued: the expanded uncertainty (L+TE)

Exam, completion of exercises and discussion (TE)

Session 3

Evaluation of uncertainty in 5 steps – continued: evaluation of standard uncertainty (L+TE)

Expression of uncertainty, calibration, uncertainty analysis and quality control (L+TE)

Evaluation of exam results and course evaluation, goodbye (L)

L – Lecture,  TE – Theoretical exercise

After the course you will have obtained:

  • An understanding of the concepts involved in the calculation of measurement uncertainty.
  • Skills necessary to calculate measurement uncertainty in a practical and pragmatic manner.
  • Knowledge necessary to apply ISO's Guide to the Expression of Uncertainty in Measurement successfully at the workplace.

Furthermore you will have learned about:

  • Basic measurement concepts
  • Why measurements often do not measure what we want them to
  • Measurement design
  • Making measurements traceable
  • Principles of calibration
  • Assessing the uncertainty in measurements

Why participate?
Measurements are the basis of all commercial decisions and the uncertainty is an assessment of the risk of making bad decisions based on our measurements. They influence our decisions in quality control, the operation of industrial plant and product sale and purchase and can in this way be directly profit related. Traceability of measurements ensures integrity of the results and that the results will be understood by other people. Calibration is the process that ensures that instruments are accurate and reliable and a part of the process of ensuring that the measurements are traceable. All concepts are treated in a practical and pragmatic matter during the course.