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Discrete Data Analysis

By Prof. Bhaswati Ganguli   |   University of Calcutta
Learners enrolled: 707
This course starts with summarization and association measures for discrete data and then introduces the Generalised Linear Model as a unified regression tool for categorical/ count/continuous data etc. Alternative regression formulations for binary data based on the binary choice motivation are introduced. The course concludes with a review of advanced topics such as overdispersed models, quasi-likelihood and GAMs. The material is supported by case studies using R.
Summary
Course Status : Completed
Course Type : Core
Duration : 15 weeks
Category :
  • Mathematics
Credit Points : 4
Level : Postgraduate
Start Date : 13 Jan 2020
End Date : 30 Apr 2020
Enrollment Ends : 08 Mar 2020
Exam Date : 09 May 2020 IST

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


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Course layout

Week-1
1. Introduction to Discrete Data Analysis
2. Introduction to categorical data
3. Types of Data
4. Prospective and Retrospective Studies

Week-2
5. The analysis of 2x2 table
6. Ordinal data I
7. Ordinal Data II

Week-3
8. Relative Risk and Relative Difference
9. Odds Ratio
10. Simpson’s Paradox

Week-4
11. The Binary Choice model
12. Logit model
13. Probit model

Week-5
14. Predicting the failure of O Ring
15. The Generalized Linear Model
16. Components of GLM

Week-6
17. Likelihood based inference
18. IRLS equations
19. Inference for the logistic model

Week-7
20. Residual Analysis for a GLM
21. Goodness of fit
22. The glm function in R

Week-8
23. MID TERM ASSESSMENT

Week-9
24. Grouped and ungrouped binary data
25. Sparseness
26. Count data analysis I

Week-10
27. Count data analysis II
28. Case Study: Analysis of the gala dataset of the faraway library in R
29. Zero Inflated Poisson models

Week-11
30. Overdispersion
31. Quasi likelihood
32. The quasi Poisson model

Week-12
33. Polytomous regression 1
34. Polytomous regression 2
35. Polytomous regression 3

Week-13
36. Models with constant Coefficient of Variation
37. Linear Mixed Model
38. Generalized Linear Mixed Model 

Week-14
39. Subject specific models for longitudinal data
40. Smoothing
41. Fitting of GAMs

Week-15
42. FINAL ASSESSMENT
43. Conclusion

Books and references

Introduction to Categorical Data Analysis. Alan Agresti.

Generalised Linear Models. McCullagh and Nelder.

Instructor bio

Prof. Bhaswati Ganguli

University of Calcutta
Prof. Bhaswati Ganguli is a faculty member of the Department of Statistics at Calcutta University. Prof. Ganguli received her Ph.D.  in Biostatistics from Harvard University and her research interests include smoothing, mixed models and spatial data analysis. She is an author of the R package SemiPar and was the Principal Investigator for the e PG Pathshala project in Statistics of the MHRD.

Course certificate

30 Marks will be allocated for Internal Assessment and 70 Marks will be allocated for external proctored examination.



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