| Probability |
| 1 |
C1 |
Introduction, counting and sets (PDF) |
Class 1 Slides with Solutions (PDF) |
| C2 |
Probability basics (PDF) |
Class 2 Slides with Solutions (PDF) |
| 2 |
C3 |
Conditional probability, Bayes' theorem (PDF) |
Class 3 Slides with Solutions (PDF) |
| C4 |
Discrete random variables, expectation (PDF) |
Class 4 Slides with Solutions (PDF) |
| 3 |
C5 |
Variance, continuous random variables (PDF) Gallery of continuous variables, histograms (PDF)
|
Class 5 Slides with Solutions (PDF) Class 5 Slides, cont'd with Solutions (PDF)
|
| 4 |
C6 |
Expectation, variance, law of large numbers and central limit theorem (PDF) |
Class 6 Slides with Solutions (PDF) |
| C7 |
Joint distributions: Independence, covariance and correlation (PDF) |
Class 7 Slides with Solutions (PDF) |
| 5 |
C8 |
Review for exam 1 (PDF) |
Class 8 Slides with Solutions (PDF) |
| C9 |
No slides; exam 1 during class |
|
| Statistics: Bayesian Inference |
| 5 |
C10 |
Introduction to statistics; maximum likelihood estimates (PDF) |
Class 10 Slides with Solutions (PDF) |
| 6 |
C11 |
Bayesian updating with known discrete priors (PDF) |
Class 11 Slides with Solutions (PDF) |
| C12 |
Bayesian updating: Probabilistic prediction; odds (PDF) |
Class 12 Slides with Solutions (PDF) |
| 7 |
C13 |
Bayesian updating: Continuous prior, discrete data (PDF) |
Class 13 Slides with Solutions (PDF) |
| C14 |
Beta distributions: Continuous data (PDF) |
Class 14 Slides with Solutions (PDF) |
| 8 |
C15 |
Conjugate priors; choosing priors (PDF) |
Class 15 Slides with Solutions (PDF) |
| C16 |
Probability intervals (PDF) |
Class 16 Slides with Solutions (PDF) |
| Statistics: Frequentist Inference—Null Hypothesis Significance Testing (NHST) |
| 9 |
C17 |
Frequentist methods; NHST (PDF - 1.1MB) |
Class 17 Slides with Solutions (PDF - 1.4MB) |
| C18 |
NHST II: Significance level, power, t-tests (PDF) |
Class 18 Slides with Solutions (PDF) |
| 10 |
C19 |
NHST III: Gallery of tests (PDF) |
Class 19 Slides with Solutions (PDF) |
| C20 |
Comparison of Bayesian and frequentist inference (PDF) |
Class 20 Slides with Solutions (PDF) |
| 11 |
C21 |
Review for exam 2 (PDF) |
Solutions file: Review of exam 2 (PDF) |
| Statistics: Confidence Intervals; Regression |
| 12 |
C22 |
Confidence intervals for normal data (PDF) |
Class 22 Slides with Solutions (PDF) |
| C23 |
Confidence intervals II (PDF) |
Class 23 Slides with Solutions (PDF) |
| 13 |
C24 |
Bootstrap confidence intervals (PDF) |
Class 24 Slides with Solutions (PDF) |
| C25 |
Linear regression (PDF) |
Class 25 Slides with Solutions (PDF) |
| 14 |
C26 |
Problems file: Review for final exam (PDF) Solutions file: Review of final exam (PDF)
|
| C27 |
Problems file: Review for final exam, cont'd (PDF) Solutions file: Review of final exam, cont'd (PDF)
|
