Basics of Nonparametric Tests with Applications by R

By Prof. Saran Ishika Maiti | Visva-Bharati University

Learners enrolled: 330 | Exam registration: 3

ABOUT THE COURSE:

Nonparametric inference is essential when either the usual Gaussian assumption would fall short or sample size is too small to undergo with the Gaussian assumption. Till date most of the data analysis adheres to the test constructed on Gaussian assumption. This course will enable the students to understand why and when nonparametric tests are more pertinent. The theme of the course is not only focusing towards theory but also emphasizing more to data analysis.

Although this course is designed for a 4-week (10 hr) course the learning items under it covers almost all basic nonparametric tests valid for potential Analysis. Students will learn one sample location and scale test, two sample tests, K-sample tests like nonparametric ANOVA and goodness of fit tests, garnered with evoking examples. The course will benefit not only the undergraduate students of Statistics but also guide the researchers from different disciplines like biological sciences, social sciences, agricultural sciences.

INTENDED AUDIENCE: Undergraduate students in Statistics/Data Sciences, Researchers from BioSciences, Agriculture Sciences, Social Sciences etc.

PREREQUISITES: A minor course in Introductory Statistical Inference

INDUSTRY SUPPORT:

Business Analytics industry
Banking Sector
NSSO/CSO

Summary

Course Status :	Upcoming
Course Type :	Elective
Language for course content :	English
Duration :	4 weeks
Category :	Mathematics
Credit Points :	1
Level :	Undergraduate/Postgraduate
Start Date :	18 Aug 2025
End Date :	12 Sep 2025
Enrollment Ends :	18 Aug 2025
Exam Registration Ends :	29 Aug 2025
Exam Date :	01 Nov 2025 IST
NCrF Level	4.5 — 8.0

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

Page Visits

Course layout

Week 1: Why Nonparametrics?
Need of nonparametric inference, concept of rank, permutation, inversion, Kendall’s tau and Spearman rank correlation, linear rank statistics

Week 2: One sample testing problem
Test of location parameter: sign test, Wilcoxon signed rank test, paired observations, power analysis, Test on scale parameter:Mood Test, Problem Solving using R

Week 3: Two-sample testing problem
Mann Whitney U test,, Signed rank test, Two sample Mood test, Run test, Extension to K sample test: Kruskal Wallis and Friedmann Test

Week 4: Goodness of Fit Test
Pearson Chi-square test, one sample K-S test, Anderson Darling Test, Two sample K-S test, Solving example by R

Books and references

Nonparametric Statistical Inference by J.D Gibbons & S. Chakraborty, Springer
Fundamentals of Statistics Vol 1 by Gun, A, Gupta, M.K. & Dasgupta, B, World Press

Instructor bio

Prof. Saran Ishika Maiti

Visva-Bharati University

DR. Saran Ishika Maiti has been currently working as an Assistant Professor (Grade III) in the Department of Statistics, Visva Bharati for last 14yrs, engaging in both UG and PG teaching and PhD. Supervision. Her research topics encompass Multivariate Analysis, Stochastic Processes, Nonparametric regression. Prior to joining Visva-Bharati Dr. Maiti honed her skill as a research scientist followed by a stint of visiting assistant professor in Indiana University-Purdue University, USA. In 2023, Dr. Maiti successfully completed SERB (DST) extramural research project in nonparametric regression. Apart from teaching Dr. Maiti delivered talks in several national/international seminars and authored number of research articles.

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: November 01, 2025 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.

CRITERIA TO GET A CERTIFICATE

Average assignment score = 25% of average of best 3 assignments out of the total 4 assignments given in the course.
Exam score = 75% of the proctored certification exam score out of 100

Final score = Average assignment score + Exam score

Please note that assignments encompass all types (including quizzes, programming tasks, and essay submissions) available in the specific week.

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 Kharagpur .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