Introduction To Uncertainty Analysis And Experimentation

By Prof. S. R. Kale   |   IIT Delhi
Learners enrolled: 506
I will address fundamental topics on uncertainty analysis and their applications and give an overview of experimentation. Practicing engineers, researchers, and engineering students at UG, PG and PhD, from many disciplines will benefit from this course. The topics include experimentation process, errors in measurement, uncertainty in a measurement and in the result, uncertainty propagations, pre- and post- test uncertainty analysis, uncertainty analysis for design of set-up, and regression and correlation. The methodology will follow ASME “Performance Test Code”, and ISO “Guide to the expression of Uncertainty in Measurement”. I will discuss a variety of practical applications and use of national and international standards related to engineering and research and their relevance in education.

UG, PG and PhD level engineering students; Engineering faculty; Professionals in industry and R & D laboratories
PREREQUISITES : This course is aimed at 3rd/4th year undergraduates, masters, and PhD students, and at professionals with at least a bachelor’s degree in engineering or science.
INDUSTRIES  SUPPORT     : Topics in this course are relevant to many industries, especially MSMEs as it will enhance quality and adherence to standards.
Course Status : Completed
Course Type : Elective
Duration : 8 weeks
Category :
  • Mechanical Engineering
  • Multidisciplinary
  • Chemical Engineering
Credit Points : 2
Level : Undergraduate/Postgraduate
Start Date : 24 Jan 2022
End Date : 18 Mar 2022
Enrollment Ends : 07 Feb 2022
Exam Date : 27 Mar 2022 IST

Note: This exam date is subjected to change based on seat availability. You can check final exam date on your hall ticket.

Page Visits

Course layout

• Outline of the course; Course objectives; Learning outcomes; Course plan
• Expressing a result as a mean (nominal) value and its uncertainty at a specified confidence level
• Importance of uncertainty analysis in research, industry, legal metrology, education
• Developments in uncertainty analysis, ASME PTC 19.1 and ISO JCGM-100 GUM
• The approach to uncertainty analysis
• The result relation, measured parameters
• Error distribution, statistical basis, standard uncertainty, definition of uncertainty and its variants
• Classification of errors as per ASME PTC 19.1 and ISO GUM; Correlated/Uncorrelated errors
• Processes from need for data (for decision making) to obtaining the data
• Options for conducting an experiment
• Stages / Phases of experimentation, test execution, pre-test and post-test activities
• Relevance of uncertainty analysis in the experimentation processes
• Measured parameters (measurands) and raw data. Calculated parameters (result)
• Sources of errors in a measurement – elemental sources of error; classification as random/systematic or Type A/Type B
• Calculating/estimating elemental sources of errors in a measurement
• Calculating combined standard uncertainty and expanded uncertainty in a measurement
• Systematic uncertainty in a measurement: Instrument specification, Data from handbook,Tolerance limits, Absolute limits, Asymmetric bounds
• Systematic uncertainty in a measurement: Physical basis of phenomenon, e.g. zero error,calibration, time lag, spatial lag, radiation effects in temperature measurement, long-term effects (stresses in strain gauges, etc.)
• Errors in electronics and digitization – Amplification, filtering, analog-to-digital conversion
• The result formula, Taylor Series Method (TSM). Expansion of results formula. 1st order with un-correlated errors. Sum of squares relation
• Sensitivity coefficient. Relative uncertainty coefficient. Uncertainty Multiplication Factors(UMF).
• Uncertainty in the result. Contribution from different measurements, dominant uncertainty. Uncertainty Percentage Contribution (UPC)
• Techniques for evaluating sensitivity coefficient, Single variate property, double variate property
• Contribution by measurement uncertainties to result uncertainty, Pareto chart
• Application to pre-test uncertainty analysis
• Round-off in reporting mean (nominal) values and uncertainty
• Round-off in reporting mean (nominal) values and uncertainty in measurements and in result
• Data comparison. Introduction to correlations – techniques, goodness
• Depicting uncertainty on plots, e.g. uncertainty bands/bars. Whisker plots
• Course summary. Recommendations for further study

Books and references

ASME Performance Test Code (PTC) 19.1-2018 “Test Uncertainty”, ASME PTC 19-1. ASME New York, 2019
ISO JCGM 100:2008. Evaluation of measurement data — Guide to the expression of uncertainty in measurement (GUM). ISO 2008
Hugh W. Coleman, W. Glenn Steele Jr., Experimentation, Validation, and Uncertainty Analysis for Engineers, 3rd Ed., 2009, John Wiley.
Ernest O. Doeblin, Measurement Systems: Application and Design, 1990. McGraw-Hill.
Jack P. Holman, Experimental Methods for Engineers, 2001. 7th Ed., McGraw-Hill.
Various IS/ISO/ASME/ASTM standards.

Instructor bio

Prof. S. R. Kale

IIT Delhi
Professor Sunil R. Kale has been with the Department of Mechanical Engineering since 1989. He has developed and taught UG courses (thermodynamics, energy conversion, heat and mass transfer, power plant technologies, engineering drawing, and mechanical core laboratory), and PG courses (experimental methods for thermal engineering, multiphase flows). His research, academic and industry-related, is in the fields of heat transfer, fluid mechanics, fire dynamics, combustion, and energy conversion.

Course certificate

The course is free to enroll and learn from. But if you want a certificate, you have to register and write the proctored exam conducted by us in person at any of the designated exam centres.
The exam is optional for a fee of Rs 1000/- (Rupees one thousand only).
Date and Time of Exams: 27 March 2022 Morning session 9am to 12 noon; Afternoon Session 2pm to 5pm.
Registration url: Announcements will be made when the registration form is open for registrations.
The online registration form has to be filled and the certification exam fee needs to be paid. More details will be made available when the exam registration form is published. If there are any changes, it will be mentioned then.
Please check the form for more details on the cities where the exams will be held, the conditions you agree to when you fill the form etc.


Average assignment score = 25% of average of best 6 assignments out of the total 8 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

YOU WILL BE ELIGIBLE FOR A CERTIFICATE ONLY IF AVERAGE ASSIGNMENT SCORE >=10/25 AND EXAM SCORE >= 30/75. If one of the 2 criteria is not met, you will not get the certificate even if the Final score >= 40/100.

Certificate will have your name, photograph and the score in the final exam with the breakup.It will have the logos of NPTEL and IIT Madras .It will be e-verifiable at nptel.ac.in/noc.

Only the e-certificate will be made available. Hard copies will not be dispatched.

Once again, thanks for your interest in our online courses and certification. Happy learning.

- NPTEL team

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