Introduction to Probability and Statistics

Readings

Listed in the following table are assigned readings that students were expected to complete prior to attending class sessions. Students also completed online multiple choice or numerical answer questions based on each week’s readings. Students received instant feedback and could make multiple attempts. [Note: the online reading questions are not available to OpenCourseWare users.] 

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