Training Courses on Measurement Uncertainty: searchable database

The database below allows you to easily find information about courses and trainings on measurement uncertainty provided by some of the partners and stakeholders of the Measurement Uncertainty Training Activity of the EMN for Mathematics and Statistics.

The courses are reported along with several characteristics (organising body, target audience, specific constraints/prerequisites, application area, duration, etc.) and can be filtered according to the following criteria: organising institute/nation, language and the technical contents covered in the course (in particular, which concepts of the GUM suite of documents and which reviews for it are covered).

The search filters of the database support you in finding the courses that fit your needs. Full and detailed information on all the surveyed courses can be found at a comprehensive training courses survey downloadable here >>

  • Curso virtual de metrología. Módulo básico
    Organising body CEM (Spain)
    Location online
    Duration 25 h ( the whole course lasts tipically 6 weeks)
    Language Spanish
    Target audience Staff in test and calibration laboratories, internal employees
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Sources of uncertainty and examples

    Detailed info at the existing training courses survey (here), in sheet "CEM 1"

  • Curso virtual de metrología. Módulo intermedio
    Organising body CEM (Spain)
    Location online
    Duration 25 h ( the whole course lasts tipically 7 weeks)
    Language Spanish
    Target audience Staff in test and calibration laboratories, internal employees
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Sources of uncertainty and examples

    Detailed info at the existing training courses survey (here), in sheet "CEM 2"

  • Curso virtual de metrología. Módulo avanzado
    Organising body CEM (Spain)
    Location online
    Duration 25 h ( the whole course lasts tipically 3 weeks)
    Language Spanish
    Target audience Staff in test and calibration laboratories, internal employees
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Sources of uncertainty and examples

    Detailed info at the existing training courses survey (here), in sheet "CEM 3"

  • Curso de calibración por comparación de termómetros de contacto
    Organising body CEM (Spain)
    Location online
    Duration 75 h
    Language Spanish
    Target audience Staff in test and calibration laboratories, internal employees
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Sources of uncertainty and examples

    Detailed info at the existing training courses survey (here), in sheet "CEM 4"

  • Measurement uncertainty and statistics ("Messunsicherheit und Statistik")
    Organising body DAM - German Academy of Meterology at the Bavarian State Office for Measures and Weights (Germany)
    Location Principally in-person, optionally online
    Duration 20 hrs stetched over 2 -3 weeks (basic-level course)
    Language German
    Target audience Trainees of the German federal verification offices (basic level)
    certification Certificate for the whole course
    Application area
    Specific constraints/prerequisites (if any) -
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …) [PARTLY]
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "DAM 1"

  • Measurement uncertainty and statistics ("Messunsicherheit und Statistik")
    Organising body DAM - German Academy of Meterology at the Bavarian State Office for Measures and Weights (Germany)
    Location Principally in-person, optionally online
    Duration 30 hrs stretched over 2 -3 weeks (intermediate-level course)
    Language German
    Target audience Trainees of the German federal verification offices (intermediate-level)
    certification Certificate for the whole course
    Application area
    Specific constraints/prerequisites (if any) -
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …) [PARTLY]
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • linear regression (4 hrs), quality control (2hrs), acceptance sampling (4 hrs)

    Detailed info at the existing training courses survey (here), in sheet "DAM 2"

  • Practice of measurement uncertainty evaluation
    Organising body Central Office of Measures (Poland)
    Location Warsaw, both
    Duration 2 days (16 hours)
    Language Polish
    Target audience internal to the organizing institution or external, employees of accredited laboratories
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) no
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • MCM for propagation of distributions (JCGM 102 multivariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Calculation examples

    Detailed info at the existing training courses survey (here), in sheet "GUM"

  • Theoretical aspects of measurement
    Organising body Faculty of Electrical Engineering and Information Technology of the Slovak University of Technology in Bratislava in cooperation with IMS SAS (Slovakia)
    Location Institute of Measurement Science of the Slovak Academy of Sciences (IMS SAS)
    Duration 26 hours
    Language Slovak
    Target audience PhD students
    certification Exam-PhD (12 credits)
    Application area Electrical Engineering
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models) [PARTLY]
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "IMS SAS"

  • Edition-dependent
    Organising body Società italiana di fisica, SIF (Italy)
    Location Varenna on the Como lake (Italy)
    Duration About 2 hours (the whole course lasts typically two to three weeks)
    Language English
    Target audience Typically young scientists from NMIs worldwide
    certification Certificate of attendance
    Application area Metrology in general
    Specific constraints/prerequisites (if any) No
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • MCM for propagation of distributions (JCGM 102 multivariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Frequentist vs Bayesian (subjective) view of probability, basic concepts

    Detailed info at the existing training courses survey (here), in sheet "INRIM 1"

  • Thermal measurements and controls
    Organising body Politecnico di Torino (Italy)
    Location Physical
    Duration 60 h
    Language English
    Target audience Students enrolled in the Master degree at Politecnico di Torino
    certification Mark
    Application area Mechanical Engineering and Energetics Programmes at Politecnico di Torino
    Specific constraints/prerequisites (if any) Basic subjects in Calculus, Physics, Mechanics, Electrotechnics.
    Topics
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Reporting the measurement result
    • Examples of uncertainty evaluation in thermal and mechanical measurements

    Detailed info at the existing training courses survey (here), in sheet "INRIM 2"

  • The evaluation of uncertainty in measurement
    Organising body Politecnico di Torino (https://www.polito.it/en/education/phd-programmes-and-postgraduate-school) and INRIM (Italy)
    Location At the INRIM campus and/or online classes
    Duration 20 hours (typically 10 two-hour lessons in one month)
    Language English (Italian if no foreign student is registered)
    Target audience PhD Students (but other attendees may ask for enrolling)
    certification PASS, PASS with merit or Certificate of attendance
    Application area No
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • MCM for propagation of distributions (JCGM 102 multivariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Some hints on Bayesian inference and conformity assessement according to JCGM 106

    Detailed info at the existing training courses survey (here), in sheet "INRIM 3"

  • Uncertainty of measurements
    Organising body Politecnico di Torino (https://www.polito.it/en/education/phd-programmes-and-postgraduate-school) and INRIM (Italy)
    Location At the INRIM campus and/or online classes
    Duration 6 hours
    Language English (Italian if no foreign student is registered)
    Target audience PhD Students (but other attendees may ask for enrolling)
    certification PASS, PASS with merit or Certificate of attendance
    Application area No
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models) [PARTLY]
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "INRIM 4"

  • JCGM 101:2008 e JCGM 102:2011 - Valutazione dell'incertezza di misura con il metodo Monte Carlo e per casi multivariati
    Organising body UNITRAIN (@formazioneuni - www.uni.com) (Italy)
    Location Physical or online
    Duration 8 hours
    Language Italian
    Target audience Quality managers; R&D managers; managers of company laboratories; responsibles for measurement processes; personnel in charge of preparing calibration procedures, metrological confirmations of measurement instruments, instructions of control and test of p
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) Basic knowledge of the GUM framework
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • MCM for propagation of distributions (JCGM 102 multivariate models)
    • Validating LPU against MCM
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "INRIM 5"

  • Time and frequency, Instrumentation, and Metrology
    Organising body University of Bourgogne Franche Comté (UBFC), Besancon, France (The Doctoral School of) (Italy)
    Location Both
    Duration 15 lectures, 22.5 H
    Language English
    Target audience Doctoral students, post doctoral fellows, young scientists, R&D engineers
    certification Local PhD students: managed by the Doctoral School Guests: certificate of…
    Application area Part 1: General instruments Part 2: Phase noise and frequency stability in oscillators Part 3: The new International system of units SI (2019)
    Specific constraints/prerequisites (if any) General background in science/engineering suitable to doctoral lectures Serious personal motivation
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "INRIM 6"

  • CEM - Curso de Experimentadores Metrologistas (Training for Metrologist Experimenters)
    Organising body Instituto Português da Qualidade (IPQ) (Portugal)
    Location IPQ (physical)
    Duration 1 day (6 hours)
    Language Portuguese
    Target audience It is intended for technicians who carry out the activity of legal metrological control of measuring instruments, carried out by recognized entities that are part of the Legal Metrology System in Portugal.
    certification The Course Certificate is issued after a positive result of the final…
    Application area Mass measurements
    Specific constraints/prerequisites (if any)
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Practical application exercices and uncertainty calculation

    Detailed info at the existing training courses survey (here), in sheet "IPQ 1"

  • Good practices for the use and maintenance of standard test measures within the scope of gas pumps verification
    Organising body Instituto Português da Qualidade (IPQ) (Portugal)
    Location Physical (Volume laboratory and on site verification)
    Duration 2 days (14 hours)
    Language Portuguese
    Target audience Employees of metrological verification bodies for gas pumps
    certification certificate of attendance
    Application area Volume measurements
    Specific constraints/prerequisites (if any)
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Mathematic example of calculation

    Detailed info at the existing training courses survey (here), in sheet "IPQ 2"

  • Oficina à medida (workshop with measure)
    Organising body Instituto Português da Qualidade (IPQ) (Portugal)
    Location Physical (in IPQ laboratories) because it includes laboratory sessions
    Duration 1 day (6 hours)
    Language Portuguese
    Target audience External: teachers and professors in science who perform measurements
    certification Certificate of attendance
    Application area Practice of acquiring and processing experimental data
    Specific constraints/prerequisites (if any)
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Writing rules (Brochure on SI, chapter 5 and ISO 80000-1)

    Detailed info at the existing training courses survey (here), in sheet "IPQ 3"

  • Estimation of uncertainties and the use of reference materials
    Organising body Joint Research Centre - European Commission (European Commission)
    Location online
    Duration A few days
    Language English
    Target audience Practitioners working in laboratories who apply certified reference materials for statistical quality control, method validation and calibration and who need to assess measurement uncertainties. Laboratory managers and auditors who need to implement and a
    certification Certificate of completion
    Application area Reference Materials
    Specific constraints/prerequisites (if any) Appropriate internet connection
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …) [PARTLY]
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Metrological traceability, proper selection and use of reference materials

    Detailed info at the existing training courses survey (here), in sheet "JRC"

  • Introduction to measurement uncertainty
    Organising body Training center LNE (France)
    Location online
    Duration 4 h
    Language French
    Target audience External : beginning on the subject MU. Employees of measurement laboratories
    certification Certificate of attendence
    Application area
    Specific constraints/prerequisites (if any)
    Topics
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B) [PARTLY]
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty) [PARTLY]
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "LNE 1"

  • Evaluation and control of MU
    Organising body Training center LNE (France)
    Location physical
    Duration 3 days (21 hours)
    Language french
    Target audience internal and external : Engineers and technicians responsible for estimating and justifying uncertainties of measurement and test results, for physical and chemical quantities
    certification Certificate of attendence
    Application area -
    Specific constraints/prerequisites (if any) have taken the ME66 course or Occupy a metrology function in order to know the tools mathematics and statistics specific to metrology
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "LNE 2"

  • Evaluation of MU by MMC
    Organising body Training center LNE (France)
    Location physical / online
    Duration 2 days (14 hours)
    Language French
    Target audience Engineers and technicians responsible for estimating and justifying uncertainties of measurement and test results, for physical and chemical quantities
    certification Certificate of attendance
    Application area
    Specific constraints/prerequisites (if any) Have previously followed the ME 13 course dedicated to JCGM 100 or a similar course
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "LNE 3"

  • Grundlagen der Messunsicherheit - Principes de base en incertitude de mesure (Basic principles in MU)
    Organising body METAS (Switzerland)
    Location METAS, Berne, Switzerland
    Duration 2 days (16 hours incl. breaks)
    Language German resp. French (on demand in English)
    Target audience Employees of metrology labs of private companies or accredited laboratories, scientists, METAS collaborators
    certification Certificate of attendance
    Application area
    Specific constraints/prerequisites (if any) Higher specialised education
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …) [PARTLY]
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Validating LPU against MCM [PARTLY]
    • Reporting the measurement result
    • Practical hands-on example accopmpanying the theoretical modules

    Detailed info at the existing training courses survey (here), in sheet "METAS 1"

  • Messunsicherheit und Konformitätsbewertung (MU and evaluation of conformity)
    Organising body METAS (Switzerland)
    Location METAS, Berne, Switzerland
    Duration 2 days (14.5 hours incl. breaks)
    Language German
    Target audience Conformity assessment bodies, test and verification laboratories
    certification Certificate of attendance
    Application area
    Specific constraints/prerequisites (if any) Higher specialised education
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Calculation examples

    Detailed info at the existing training courses survey (here), in sheet "METAS 2"

  • Messunsicherheit in der analytischen Chemie und Biologie (MU in analytical chemistry and biology)
    Organising body METAS (Switzerland)
    Location METAS, Berne, Switzerland
    Duration 2 days (13 hours incl. breaks)
    Language German
    Target audience Employees of metrology labs of private companies or accredited laboratories, scientists, METAS colleagues
    certification Certificate of attendance
    Application area Analytical Chemistry and Biology
    Specific constraints/prerequisites (if any) Maximum participants number: 25
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "METAS 3"

  • Understanding Uncertainty Budgets
    Organising body National Physical Laboratory (United Kingdom)
    Location Online
    Duration Self-paced (2 days, 12 hours)
    Language English
    Target audience Both internal to NPL and external; quality managers in industry and manufacturing; testing and calibration professionals; academic and industrial scientists; anyone with an interest in the way measurement helps us learn about the world around us
    certification NPL Certificate of Achievement
    Application area Metrology
    Specific constraints/prerequisites (if any) Completion of the NPL e-Learning course "Introduction to Measurement Uncertainty" is helpful
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Focus on use of uncertainty budgets

    Detailed info at the existing training courses survey (here), in sheet "NPL 1"

  • Introduction to Measurement Uncertainty
    Organising body National Physical Laboratory (United Kingdom)
    Location Online
    Duration Self-paced (0.5 day, 3 hours)
    Language English
    Target audience Those working in measurement or related roles, on the manufacturing shop floor, inspection departments and apprentices; anyone unfamiliar with the basic concepts of measurement uncertainty who needs an introduction
    certification NPL Certificate of Achievement
    Application area Metrology
    Specific constraints/prerequisites (if any)
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B) [PARTLY]
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty) [PARTLY]
    • Reporting the measurement result
    • Understanding role of measurement uncertainty in traceability and calibration; understanding specifications and tolerances; understanding how risks are estimated to sustain good measurement-related decision-making

    Detailed info at the existing training courses survey (here), in sheet "NPL 2"

  • Understanding and Evaluating Measurement Uncertainty
    Organising body National Physical Laboratory (United Kingdom)
    Location Online
    Duration Self-paced (2 days, 12 hours)
    Language English
    Target audience Both internal to NPL and external; quality managers in industry and manufacturing; testing and calibration professionals; academic and industrial scientists; anyone with an interest in the way measurement helps us learn about the world around us
    certification NPL Certificate of Achievement
    Application area Metrology
    Specific constraints/prerequisites (if any) Some prior knowledge of the GUM, UKAS M3000 or comparable document; completion of the NPL e-Learning course "Understanding Uncertainty Budgets" is helpful
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Analytical approaches to measurement uncertainty evaluation, and analytical solutions to specific problems, are also covered

    Detailed info at the existing training courses survey (here), in sheet "NPL 3"

  • Evaluating Measurement Uncertainty - CT002
    Organising body NSAI National Metrolgy Laboratory (Ireland)
    Location In-person
    Duration 1 day (7 hours)
    Language English
    Target audience Main target audience is operational staff in test and calibration laboratories
    certification Certificate of attendance
    Application area
    Specific constraints/prerequisites (if any) None, previous attendance at NSAI NML's training course CT-001 "Foundation course in measurement and calibration" is recommended depending on the experience of the attendee
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B) [PARTLY]
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Simple measurement models, compliance statements

    Detailed info at the existing training courses survey (here), in sheet "NSAI"

  • Measurement uncertainty evaluation at calibration of measurement instrument
    Organising body NURE (Ukraine)
    Location online
    Duration 18 h
    Language English, Russian, Ukrainian
    Target audience Staff in test and calibration laboratories, PhD students
    certification Certificate of attendence
    Application area Calibration of measurement instrument
    Specific constraints/prerequisites (if any) Basic knowledge on maths and statistics
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Calculation examples

    Detailed info at the existing training courses survey (here), in sheet "NURE"

  • Electronic Measurement
    Organising body Politecnico di Torino (Italy)
    Location Physical and online
    Duration 80 h
    Language English
    Target audience Students enrolled in the Bachelor's degree at Politecnico di Torino
    certification Final grade
    Application area Electronics
    Specific constraints/prerequisites (if any) Mathematics: Analysis, basics of theory of probability and stochastic processes. Electronics: Circuit theory, basic operational amplifier circuits. Electronic measurements: Usage of multimeters and oscilloscopes
    Topics
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "POLITO 1"

  • Testing and Certification
    Organising body Politecnico di Torino (Italy)
    Location Both
    Duration 80 h
    Language English
    Target audience Students enrolled in the Master of Science degree at Politecnico di Torino
    certification Final grade
    Application area Electronics
    Specific constraints/prerequisites (if any) Concept of physical quantity, measurement, methods and uncertainty. Uncertainty evaluation according to the deterministic approach. Knowledge of working principle and use of the conventional instrumentation for electrical quantities. Knowledge of the
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "POLITO 2"

  • Sistemi di Misura e Sensori (Measurement Sistems and Sensors)
    Organising body Politecnico di Torino (Italy)
    Location Physical and online
    Duration 80 h
    Language Italian
    Target audience Students enrolled in the Master's degree at Politecnico di Torino
    certification Final grade
    Application area Electronics
    Specific constraints/prerequisites (if any) Electronics: Circuit theory, basic operational amplifier circuits. Electronic measurements: Usage of multimeters and oscilloscopes; Signal's Theory and Comunications;
    Topics
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result
    • Spectral Analisys; Allan Deviation; Phase and Frequency noise;

    Detailed info at the existing training courses survey (here), in sheet "POLITO 3"

  • Einführung in die Berechnung der Messunsicherheit nach dem GUM" (Introduction to evaluating measurement uncertainty according to the GUM)
    Organising body PTB, Working Group "Data Analysis and Measurement Uncertainty" (Germany)
    Location Berlin, Braunschweig
    Duration 1 full day (7 hours)
    Language German, English on demand
    Target audience PTB employees at all levels
    certification certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) constraints: PTB affiliation, exceptions possible where the benefit to PTB can be proven and places are available, prerequisite: basic knowledge of mathematics, interest in the reliability of measurement results
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • MCM for propagation of distributions (JCGM 102 multivariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Brief introduction to Bayesian statistics

    Detailed info at the existing training courses survey (here), in sheet "PTB 1"

  • Einführung in die Berechnung der Messunsicherheit nach dem GUM" (Introduction to evaluating measurement uncertainty according to the GUM)
    Organising body Deutscher Kalibrierdienst (DKD, German Calibration Service) in cooperation with PTBs Working Group "Data Analysis and Measurement Uncertainty" (Germany)
    Location Berlin
    Duration 1 full day (7 hours)
    Language German
    Target audience employees of calibration laboratories and verification authorities (legal metrology)
    certification certificate of attendence
    Application area
    Specific constraints/prerequisites (if any) constraints: participants must be employees of calibration laboratories which are members of the DKD or employees of verification authorities (legal metrology) prerequisite: basic knowledge of mathematics, interest in the reliability of measurement result
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Statistical foundations of measurement uncertainty evaluation

    Detailed info at the existing training courses survey (here), in sheet "PTB 2"

  • Incertitudes de mesure
    Organising body SMD (Belgium)
    Location physical (online during pandemy)
    Duration 1 day (7 hours)
    Language French and Dutch
    Target audience Internal for now but could be opened to external
    certification No
    Application area Metrology in general
    Specific constraints/prerequisites (if any)
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …) [PARTLY]
    • Input standard uncertainties and covariances (GUM Type A and Type B) [PARTLY]
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "SMD 1"

  • Uncertainties for SPRT calibrations in fixed points
    Organising body SMD (Belgium)
    Location physical
    Duration 1 to 2 day (8 or 16 hours)
    Language English (French)
    Target audience external, employees of accredited laboratories (thermometry)
    certification Certificate of attendance
    Application area Thermometry
    Specific constraints/prerequisites (if any) Working in a thermometry lab, already familiar with basics of uncertainty estimation
    Topics
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • uncertainty related to fit model (ITS-90 : calibration at several fixed points, with concurrent fit functions)

    Detailed info at the existing training courses survey (here), in sheet "SMD 2"

  • Measurement uncertainty evaluation - Uncertainty and calibration curves
    Organising body SMD-ENS (NMI) (Belgium)
    Location physical
    Duration 1 day (8 hours) - can be adapted to customers' needs
    Language Slides in English, oral explanations in French, Dutch or English
    Target audience NMI, internal accredited laboratories
    certification no
    Application area
    Specific constraints/prerequisites (if any) Good mathematical knowledge and/or metrology experience
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …)
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Interpolation, fitting, etc.

    Detailed info at the existing training courses survey (here), in sheet "SMD 3"

  • Measurement uncertainty evaluation - An overview of different techniques and methods
    Organising body SMD-ENS (NMI) (Belgium)
    Location physical
    Duration 1 day (8 hours)
    Language Slides in English, oral explanations in French, Dutch or English
    Target audience NMI, internal
    certification no
    Application area
    Specific constraints/prerequisites (if any) Good mathematical knowledge and metrology experience
    Topics
    • Review of probability concepts (random variables, distributions, …)
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Validating LPU against MCM
    • Reporting the measurement result
    • Covers most of the theory and advanced methods

    Detailed info at the existing training courses survey (here), in sheet "SMD 4"

  • Measurement uncertainty for practitioners
    Organising body United Kingdom Accreditation Service (United Kingdom)
    Location Both
    Duration 3 days (20 hours)
    Language English
    Target audience UKAS assessors, labs seeking ISO 17025 accreditation, already accreditated labs, others with similar requirements to apply GUM-LPU
    certification Certificate of attendance
    Application area
    Specific constraints/prerequisites (if any) This course is designed for individuals already managing and/or applying uncertainty within their organisations who require greater awareness of measurement uncertainties and calculation of uncertainty budgets in a practical setting. This could include:
    Topics
    • Review of mathematical tools (linear algebra, partial derivatives, linear regression, …) [PARTLY]
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • Reporting the measurement result
    • Sources of uncertainty, dominant type A inputs, dominant type B inputs, uses such as conformance probability (specific risk), Decision Rules

    Detailed info at the existing training courses survey (here), in sheet "UKAS"

  • Introduction to working with measurement data ("Einführung in das Arbeiten mit Messdaten")
    Organising body University of Konstanz (Germany)
    Location physical with online material for preparation of each session
    Duration approx. 8 weeks with 2 hours contact time and preparation at home (40 hours in total)
    Language German
    Target audience undergraduate students in B.Sc. Physics
    certification attendence
    Application area physics
    Specific constraints/prerequisites (if any)
    Topics
    • Basic metrological concepts (measurand, measurement model, error, accuracy, precision, repeatability, reproducibility, …)
    • Input standard uncertainties and covariances (GUM Type A and Type B)
    • LPU (GUM 1st or also higher orders Taylor expansion, expanded uncertainty)
    • LPU (JCGM 102 multivariate models)
    • MCM for propagation of distributions (JCGM 101 univariate models)
    • MCM for propagation of distributions (JCGM 102 multivariate models)
    • Validating LPU against MCM [PARTLY]
    • Reporting the measurement result

    Detailed info at the existing training courses survey (here), in sheet "UKN"

Disclaimer

The information in this database has been provided by the Members and Partners of the EMN for Mathematics and Statistics.
EURAMET has no influence on their correctness and does not assume any liability for it.