stat310

Introduction to probability and mathematical statistics. Spring 2010.

Hadley Wickham. hadley@rice.edu
Class: 1-2:20pm Tuesdays and Thursdays. BIO 131.
TA: Garrett Grolemund.
Class mailing list.

Course syllabus

Final

You have 120 minutes and you may use three double-sided pages of notes. You may not use your text book or a computer (calculators are fine). Please pledge on the last page, and note the times you started and ended.

Download now!

Model answers.

Due Wednesday 5 May, 9am, in DH 2058.

Topics

Inference.

Apr 22. Fin. (watch, print).
Apr 20. Hypothesis tests. (watch, print).
Pratice problems: 7.4.4, 7.4.5, 7.4.7, 7.4.10 (b), 7.4.12
Apr 15. Hypothesis testing. (watch, print). Readings: 7.1.
Pratice problems: 7.1.2, 7.1.6.
Apr 13. Confidence intervals. (watch, print).
Handout
Readings: 6.1.
Pratice problems: 6.1.1, 6.1.2, 6.1.4, 6.1.9,
Apr 8. Maximum likelihood. (watch, print)
Pratice problems: 5.3.8, 5.3.10, 5.3.14, 5.3.16
Apr 6. Estimation. (watch, print)
Pratice problems: 5.2.1, 5.2.3, 5.2.6
Mar 25. Introduction to inference. (watch, print)
Readings: 5.1, (5.4)
Mar 23. Sampling distribution of mean and variance. (watch, print)
Handout
Readings: 4.2.1, 4.4.
Pratice problems: 4.2.3, 4.2.8, 4.2.14, 4.4.1, 4.4.2.
Mar 18. Sampling distributions. (watch, print)
Readings: 4.1
Practice problems: 4.1.3, 4.1.5, 4.1.6, 4.1.13.
Mar 16. Sequences. (watch, print)
Handout (pdf).
Readings: 3.5
Practice problems: 3.5.1, 3.5.4, 3.5.11, 3.5.17, 3.5.19

Bivariate random variables

Mar 11. Bivariate change of variables. (watch, print)
Handout
Mar 9. Bivariate transformations. (watch, print)
Handout
Readings: 3.4.4, 3.4.5
Practice problems: 3.4.3, 3.4.4, 3.4.5, 3.4.8, 3.4.14.
Feb 25. Bivariate random variables. (watch, print)
Feb 23. Bivariate random variables. (watch, print)
Handout
Readings: 3.3
Practice problems: 3.3.9, 3.3.12, 3.3.15, 3.3.20

Univariate random variables

Feb 16. Simulation. (watch, print)
Feb 11. Transformations and CDF. (watch, print)
Feb 9. Normal distribution. Introduction to transformations. (watch, print)
Readings: 3.2.4, Read 3.4 up to 3.4.3.
Practice problems: 3.2.7, 3.2.10, 3.2.19, 3.2.21.
Feb 4. Continuous random variables. (watch, print)
Readings: 3.2.3, 3.2.5.
Feb 2. Discrete random variables. (watch, print)
Readings: 3.2.1, 3.2.3.
Jan 28. Moments. (watch, print)
Readings: 2.6.
Practice problems: 2.6.6, 2.6.8, 2.6.11, 2.6.18, 2.6.16.
Jan 26. Random variables. (watch, print)
Readings: 2.5.
Practice problems: 2.5.5, 2.5.8, 2.5.7.

Probability.

Jan 19. Bayes' rule. (watch, print)
Readings: 2.4.
Practice problems: 2.4.16, 2.4.18, 2.4.20, 2.4.28.

Jan 19. Conditional probability. (watch, print)
Readings: 2.4.
Practice problems: 2.4.1, 2.4.3, 2.4.11, 2.4.19

Jan 14. Equally likely events.
Watch: Part one, part two.
Readings: 2.3.
Practice problems: 2.3.2, 2.3.3, 2.3.20, 2.3.21, 2.3.16

Jan 12. Welcome and introduction to probability (watch, print)
Readings: 2.1, 2.2.
Practice problems: 2.2.8, 2.2.16, 2.2.17, 2.2.13, 2.2.15

Tests

Test 2. Model answers (pdf).
Test 1. Model answers (pdf).

Quizzes

Homework

Resources

educator.com provides online lectures for statistics that covers very similar material to this class. This might be a good resource if you'd like to see more worked examples. It costs $25 / month, and if you sign up using the link I provided, I'll get $15 which will go towards the class party.