CGS602A: Basic Statistics, Data Analysis, Inference

Evaluation and Class material

Evaluation

Evaluation will be done based on:

25% - Assignments spread over the semester
20% - two quizzes 10+10
20% - Midsem
35% - Endsem


In Class

In what follows for references within a book the book will be referred to by the serial number below or by first author name.

  1. Gary W Oehlert, A First Course in Design and Analsyis of Experiments, Creative Commons License, 2010.
  2. Scott E Maxwell, Harold D Delaney, Ken Kelley, Designing Experiments and Analyzing Data: A Model Comparison Perspective, 3rd Ed, Routledge, 2018.
  3. Marc S Paolella, Fundamental Probability: A Computational Approach, Wiley, 2006.
  4. D S Moore, G P McCabe, B A Craig, Introduction to the Practice of Statistics, 9th Ed., WH Freeman and Co., 2017.

Videos of the lectures are available on mooKIT.

  1. Lec 1: About course
  2. Source:
    About the course
    Other references:
    Look at the useful links page. You should familiarize yourself with the libraries listed. Documentation links are available on the respective web sites. Some are also available in the download folder.
  3. Lec 2: Introduction, dependent, independent variables
    Source:
    On data generation, analysis. Independent, dependent variables
    Other references:
    Read chp 1 of ref. 1.
    Read chp 1, chp 2 from ref. 2.
  4. Lec 3: Experiment design 1
    Source:
    Experiments, observational studies, causation
    Other references:
    Read chp 1 of ref. 1.
    Read chp 1, chp 2 from ref. 2.
  5. Lec 4: Experiment design, terminology, randomization
    Source:
    Terminology, randomization
    Other references:
    Read chp 1 of ref. 1.
    Also read chps 1, 2 from ref 3. (preparatory for probability, statistics).
  6. Lec 5: Probability, Statistics - 1
    Source:
    Basic concepts
    Other references:
    Read chps 1, 2 - Paolella.
  7. Lec 6: Probability, Statistics - 2
    Source:
    Distributions, parameters, sampling distr.
    Other references:
    Read Moore-McCabe Part I - chps 1, 2, 3, Part II - chps 4, 5, 6.
  8. Lec 7: Probability, Statistics - 3
    Source:
    Basic probability
    Other references:
    Paolella sec 1.4, chp 2, sec 3.1, 3.2.
  9. Lec 8: Probability, Statistics - 4
    Source:
    Probability examples
    Other references:
    Same as lecture 7.
  10. Lec 9: Probability, Statistics - 5
    Source:
    Normal distr, simple random sample
    Other references:
  11. Lec 10: Central Limit Theorem
    Source:
    CLT and consequences
    Other references:
  12. Lec 11: CLT consequences
    Source:
    CLT consequences, examples
    See lecture. Recording is on mooKIT.
  13. Lec 12: Confidence intervals
    Source:
    CI, CL, Logic of Hyp. testing
  14. Lec 13: Hypothesis testing
    Source:
    Hypothesis testing
  15. Lec 14: Erorrs, Power and relation with Alpha
    Source:
    Errors, alpha, beta, power
  16. Lec 15: Effect Size
    Source:
    Effect size
  17. Lec 16: Factorial, fractional designs
    Source:
    Factorial designs
  18. Lec 17: ANoVA
    Source:
    ANoVA
  19. Lec 18: Correlation
    Source:
    Correlation
  20. Lec 19: Regression
    Source:
    Regression
  21. Lec 20: Multiple Regression
    Source:
    Multiple Regression
  22. Lec 21: Regression, ANoVA connection
    Source:
    Regression, ANoVA connection
    Exercise for ANoVA, Regression