Skip to content

Latest commit

 

History

History
42 lines (36 loc) · 1.49 KB

intro2statistics.md

File metadata and controls

42 lines (36 loc) · 1.49 KB
Raw

Introduction to Statistics: Frequentist and Bayesian

  1. Show an AP Problem by Sal Khan to introduce a statistics problem.

  2. PMF, CDF, PDF

    1. Bernoulli Distribution
    2. Binomail Distribution
    3. Normal Distribution
    4. numpy, scipy, matplotlib, altair, pandas

  3. A Typical Frequentist Approach : Just focus on z-test. Other parts may be taken by themselves.

    • N times Repeated Bernoulli is Binomail
    • When N is large, Binomail is very much similar to Normal
    • Try to give a solution to the problem with Binomial Model
    • Try to use Normal approximation to give a solution.
    • $z$-test or $t$-test
    • Khan Academy's College Statistics (https://www.khanacademy.org/math/ap-statistics)

  4. A Bayesian Approach

    • what is is?

  5. Regression

    • Linear Regression
    • Logistic Regression

References

  1. OpenIntro Statistics
    • Good reading book, free
    • video is no good
  2. Khan Academy AP Statistics
    • Wholy Frequentist
    • Good explanation by Sal
    • Plentiful of explained exercises
    • no textbook
  3. Statistical Rethinking 2nd
  4. Basyian Data Analysis
  5. Think Bayes 2nd
    • python
    • practical application examples are impressive
    • computation needs to be explained during the lecture
    • encourge students to make python codes by themselves instead of using the library
  6. Probability and Statistics, 4th edition, DeGroot and Schervish