# Basics of Nonparametric Tests with Applications by R

- Institution: Visva Bharati University, Santiniketan
- Department: Mathematics
- Teacher: Prof. Saran Ishika Maiti
- Level: Undergraduate
- Language: English
- Subjects: Mathematics
- Source: [NPTEL](https://nptel.ac.in/courses/111105762)
- Licence: [CC BY-NC-SA](https://nptel.ac.in/faq) (Non-commercial use only.)
- Syllabus: [at the source](https://nptel.ac.in/courses/111105762)
- Who can watch: Tweens profiles and older (sources give no ratings; placed by Invisible Network from the source's own words)

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

## Lectures

1. [Lecture -1 : Need of Nonparametric Inference](https://invisiblenetwork.ai/learn/nptel/111105762/743057c2bfc0) (YouTube)
2. [Lecture -2 : Rank and Permutation](https://invisiblenetwork.ai/learn/nptel/111105762/c329c2d2e278) (YouTube)
3. [Lecture -3 : Spearman Rank Correlation](https://invisiblenetwork.ai/learn/nptel/111105762/a81eafed6ea9) (YouTube)
4. [Lecture -4 : Kendall’s Rank Correlation](https://invisiblenetwork.ai/learn/nptel/111105762/93d14f47ac9f) (YouTube)
5. [Lecture -5 : Linear Rank Statistics (Part B)](https://invisiblenetwork.ai/learn/nptel/111105762/42a53bca399d) (YouTube)
6. [Lecture -6 : Sign Test](https://invisiblenetwork.ai/learn/nptel/111105762/0bbc3be98688) (YouTube)
7. [Lecture -7 : Problem Solving on Wilcoxon signed rank test](https://invisiblenetwork.ai/learn/nptel/111105762/2958d061fb07) (YouTube)
8. [Lecture -8 : Kendall’s Rank Correlation](https://invisiblenetwork.ai/learn/nptel/111105762/d684e946f230) (YouTube)
9. [Lecture -9 : Paired Sample Wicoxon signed rank test](https://invisiblenetwork.ai/learn/nptel/111105762/5988cdf94670) (YouTube)
10. [Lecture -10 : McNemar’s Test](https://invisiblenetwork.ai/learn/nptel/111105762/0acc826df21d) (YouTube)
11. [Lecture -11 : General discussion on two sample test & Mann Whitney Test](https://invisiblenetwork.ai/learn/nptel/111105762/969e6ec6a13e) (YouTube)
12. [Lecture -12 : Tie cases, (Wilcoxon)Mann Whitney Statistic & Problem Solving by R](https://invisiblenetwork.ai/learn/nptel/111105762/4f78ad17235c) (YouTube)
13. [Lecture -13 : Median Test and Mood’s Tests for dispersion](https://invisiblenetwork.ai/learn/nptel/111105762/78c9f222915e) (YouTube)
14. [Lecture -14 : Wald Wolfowitz Run Test](https://invisiblenetwork.ai/learn/nptel/111105762/d0ca19bbe383) (YouTube)
15. [Lecture -15 : Extension to two sample proble](https://invisiblenetwork.ai/learn/nptel/111105762/1b56354fc74e) (YouTube)
16. [Lecture -16 : Friedman Test (Two -way Nonparametric ANOVA)](https://invisiblenetwork.ai/learn/nptel/111105762/329c719e15c8) (YouTube)
17. [Lecture -17 : Few Forewords and Pearson Goodness of fit Test](https://invisiblenetwork.ai/learn/nptel/111105762/d5b6d3a0c28c) (YouTube)
18. [Lecture -18 : One Sample Kolmogorov Smirnov Test](https://invisiblenetwork.ai/learn/nptel/111105762/317980fcee95) (YouTube)
19. [Lecture -19 : Two sample Kolmogorov Smirnov Test](https://invisiblenetwork.ai/learn/nptel/111105762/4e4223c84e1b) (YouTube)
20. [Lecture -20 : Few Other Goodness of Fit Tests](https://invisiblenetwork.ai/learn/nptel/111105762/611d9f922e50) (YouTube)