| Probability |
| 1 | C1 |
1a: Introduction (PDF) 1b: Counting and Sets (PDF)
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Reading Questions for 1b Reading Questions for R Intro
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| C2 |
2: Probability: Terminology and Examples (PDF) R Tutorial 1A: Basics R Tutorial 1B: Random Numbers
| Reading Questions for 2 |
| 2 | C3 | 3: Conditional Probability, Independence and Bayes' Theorem (PDF) | Reading Questions for 3 |
| C4 |
4a: Discrete Random Variables (PDF) 4b: Discrete Random Variables: Expected Value (PDF)
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Reading Questions for R Reading Questions for 4a Reading Questions for 4b
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| 3 | C5 |
5a: Variance of Discrete Random Variables (PDF) 5b: Continuous Random Variables (PDF) 5c: Gallery of Continuous Random Variables (PDF) 5d: Manipulating Continuous Random Variables (PDF)
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Reading Questions for 5a Reading Questions for 5b Reading Questions for 5c Reading Questions for 5d
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| 4 | C6 |
6a: Expectation, Variance and Standard Deviation for Continuous Random Variables (PDF) 6b: Central Limit Theorem and the Law of Large Numbers (PDF) 6c: Appendix (PDF)
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Reading Questions for 6a Reading Questions for 6b
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| C7 |
7a: Joint Distributions, Independence (PDF) 7b: Covariance and Correlation (PDF)
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Reading Questions for 7a Reading Questions for 7b
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| 5 | C8 |
Class 8: Exam Review (PDF)
Class 8: Exam Review Solutions (PDF)
| |
| | C9 | No readings assigned | |
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Statistics: Bayesian Inference
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| 5 | C10 |
10a: Introduction to Statistics (PDF) 10b: Maximum Likelihood Estimates (PDF)
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Reading Questions for 10a Reading Questions for 10b
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| 6 | C11 | 11: Bayesian Updating with Discrete Priors (PDF) | Reading Questions for 11 |
| C12 |
12a: Bayesian Updating: Probabilistic Prediction (PDF) 12b: Bayesian Updating: Odds (PDF)
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Reading Questions for 12a Reading Questions for 12b
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| 7 | C13 |
13a: Bayesian Updating with Continuous Priors (PDF) 13b: Notational Conventions (PDF)
| Reading Questions for 13a |
| C14 |
14a: Beta Distributions (PDF) 14b: Bayesian Updating with Continuous Data (PDF)
| Reading Questions for 14a and 14b |
| 8 | C15 |
15a: Conjugate Priors: Beta and Normal (PDF) 15b: Choosing Priors (PDF)
| Reading Questions for 15a |
| C16 | 16: Probability Intervals (PDF) | Reading Questions for 16 |
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Statistics: Frequentist Inference—Null Hypothesis Significance Testing (NHST)
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| 9 | C17 |
17a: The Frequentist School of Statistics (PDF) 17b: Null Hypothesis Significance Testing I (PDF)
| Reading Questions for 17b |
| C18 | 18: Null Hypothesis Significance Testing II (PDF) | Reading Questions for 18 |
| 10 | C19 | 19: Null Hypothesis Significance Testing III (PDF) | Reading Questions for 19 |
| C20 | 20: Comparison of Frequentist and Bayesian Inference (PDF) | |
| 11 | C21 | No readings assigned | |
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Statistics: Confidence Intervals; Regression
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| 12 | C22 | 22: Confidence Intervals Based on Normal Data (PDF) | Reading Questions for 22 |
| C23 |
23a: Confidence Intervals: Three Views (PDF) 23b: Confidence Intervals for the Mean of Non-normal Data (PDF)
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| 13 | C24 | 24: Bootstrap Confidence Intervals (PDF) | Reading Questions for 24 |
| C25 | 25: Linear Regression (PDF) | Reading Questions for 25 |
| 14 | C26 | No readings assigned | |
| C27 | No readings assigned | |
