Multivariate Procedures with R

By Prof. Shalabh   |   IIT Kanpur
Learners enrolled: 618   |  Exam registration: 58
Multivariate Procedures with R is designed to equip the learners with necessary theory and application of multivariate procedures in academic, research, and business domains with appropriate examples. The comprehensive content is designed to manually compute various multivariate statistics for learning and R-based computations for application. An important highlight of the course is reporting the results in formal documents such as research reports, journal articles, and class projects.

INTENDED AUDIENCE: Students, research scholars, faculty, industry personnel

PREREQUISITES: Basic knowledge of statistics. The course will provide a review of the basic concepts of statistics

INDUSTRY SUPPORT: The course will be useful to businesses and service industries
Course Status : Completed
Course Type : Elective
Duration : 12 weeks
Category :
  • Management Studies
Credit Points : 3
Level : Postgraduate
Start Date : 22 Jan 2024
End Date : 12 Apr 2024
Enrollment Ends : 05 Feb 2024
Exam Registration Ends : 16 Feb 2024
Exam Date : 28 Apr 2024 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

Week 1: 
Basic fundamentals, Introduction to working in R, Brief introduction to commands in R, data editing, R Studio, use of R as a calculator.

Week 2: 
Calculations with Data Vector, Built in function, Matrix operations, Univariate statistical measures  for central tendency and variations.

Week 3: 
Handling bivariate data, Missing data handling, Measuring central tendency and variation with missing data.

Week 4:
Introduction of coefficient of variation, Data frames, Box Plots, and Plots for discrete and continuous data.

Week 5:
Two and three-dimensional plots for univariate, bivariate and multivariate data, univariate, bivariate and multivariate random variables, univariate normal distribution.

Week 6:
Bivariate and multivariate normal distribution, Sampling distributions.

Week 7:
Regression analysis, scaling of variables.

Week 8:
Scaling of variables.

Week 9:
Principle component analysis.

Week 10:
Discriminant analysis.

Week 11:
Canonical correlation analysis.

Week 12:
Cluster analysis.

Lecturewise plan

Books and references

  1. The R Software-Fundamentals of Programming and Statistical Analysis -Pierre Lafaye de Micheaux, Rémy Drouilhet, Benoit Liquet, Springer 2013
  2. A Beginner's Guide to R (Use R) By Alain F. Zuur, Elena N. Ieno, Erik H.W.G. Meesters, Springer 2009
  3. Introduction to Statistics and Data Analysis With Exercises, Solutions and Applications in R  Authors: Heumann, Christian, Schomaker, Michael, Shalabh, Publisher" Springer 2022
  4. R Programming For Dummies, 2ed  Andrie de Vries, Joris Meys, Wiley (India), Low price edition
  5. Anderson, T. W. (2003). An Introduction to Multivariate Statistical Analysis,   Wiley. Low price edition
  6. Johnson, R. A., Wichern, D. W. (2019). Applied Multivariate Statistical Analysis.  Pearson. Low price edition
  7. B.S. Everitt, S. Landau, M. Leese, D. Stahl. Cluster Analysis, Wiley.
Information regarding additional reading material and other references will follow the individual sessions, as appropriate.

Instructor bio

Prof. Shalabh

IIT Kanpur
Prof. Shalabh is a Professor of Statistics and Data Science at IIT Kanpur. His research areas of interest are linear models, regression analysis, and econometrics. He has more than 25 years of experience in teaching and research. He has developed several web-based and MOOC courses in NPTEL and has conducted workshops on statistics for teachers, researchers, and practitioners. He has received several national and international awards and fellowships. He has authored more than 100 research papers in national and international journals. He has written four books, and one of the books on linear models is coauthored with Prof. C.R. Rao. Another seminal book on Statistics with R software has been downloaded more than 5.4 million times. He has completed several projects and has played an important role in propagating the knowledge of R software in the country.

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: 28 April 2024 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 8 assignments out of the total 12 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 Kanpur .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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