APMA 1650

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Welcome to APMA 1650, an exciting statistics adventure awaits you! On this website, you can find the syllabus, lecture notes, homework assignments, and study materials.

Syllabus (Fall 2023)

APMA 1650 – Syllabus (Fall 2023)

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Lecture Notes

Note: Please refresh your webpage frequently so that you have the most up-to-date version of the notes. The notes are based on Ross Parker’s 1650 notes but are improved by myself.

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Date
 Section
Lecture Title
1 Sep 6 2.1-2.2 What is a probability?
2 Sep 8 2.3-2.4 Probability Axioms
3 Sep 11 2.5 Probability and Counting (I)
4 Sep 13 2.6 Probability and Counting (II)
5 Sep 15 2.7 Conditional Probability
6 Sep 18 2.8-2.9 Independence
7 Sep 20 2.10 Bayes’ Theorem
8 Sep 22 3.1-3.2 Discrete Random Variables
9 Sep 25 3.3 Expectation and Variance
10  Sep 27 3.4 Binomial Distribution
11 Sep 29 3.5 Geometric Distribution
12 Oct 2 3.7-3.8 Hypergeometric and Poisson Distributions
13 Oct 4 4.1-4.2 Continuous Random Variables
14 Oct 6 4.3-4.4 Expected Values
15 Oct 11 4.5 Normal Distribution
Z-Table
16 Oct 13 Midterm 1
17  Oct 16 4.6 Exponential Distribution
18 Oct 18 4.10 Chebyshev’s Inequality
19 Oct 20 5.1-5.2 Multivariate Distributions
20 Oct 23 5.3-5.4 Marginal and Conditional Distribution
21 Oct 25 5.6 Joint Expectation
22 Oct 27 5.7 Covariance
23 Oct 30 7.1 Sampling Distributions (I)
24 Nov 1 7.2 Sampling Distributions (II)
Chi-Square Table
25 Nov 3 7.2 Sampling Distributions (III)
t-table
26 Nov 6 7.3, 8.1 Central Limit Theorem + Point Estimators (I)
 27 Nov 8 8.2-8.4 Point Estimators (II)
28 Nov 10 8.5 Confidence Intervals (I)
29 Nov 13 8.6 Confidence Intervals (II)
30 Nov 15 Midterm 2 – Review
31 Nov 17 Midterm 2
32 Nov 20 9.3 Consistency
33 Nov 27 9.7 Maximum Likelihood Estimators
34 Nov 29 10.1-10.2 Hypothesis Testing (I)
35 Dec 1 10.3-10.4 Hypothesis Testing (II)
36 Dec 4 10.5-10.8 Hypothesis Testing (III)
37 Dec 6 Final Exam – Review
38 Dec 8 10.10 Power of Tests (optional)
39 Dec 11 10.11 Likelihood Ratio Tests (optional)
40 Dec 16 Final Exam

 

 

Assignments

 

Homework
Due Date
Solutions
Homework 1 Sep 15 Solutions
Homework 2 Sep 22 Solutions
Homework 3 Sep 29 Solutions
Homework 4 Oct 6 Solutions
Homework 5 Oct 20 Solutions
Homework 6 Oct 27 Solutions
Homework 7 Nov 3 Solutions
Homework 8 Nov 10 Solutions
Homework 9 Dec 1 Solutions
Homework 10 Dec 8 Solutions
Mini Project Dec 13

 

Exams

Midterm 1: Friday, October 13 (12 pm) to Monday, October 16 (11:59 pm) covers Lectures 1-13

Practice Exam Solutions Comments
Study Guide
Mock Midterm 1 Solutions Courtesy Ross Parker
Midterm 1 Solutions Fall 2023 Midterm 1
Review Problems 1 Solutions Courtesy Ross Parker
Review Problems 2 Solutions Courtesy Ross Parker
More Practice Questions Solutions Some old exam questions, courtesy myself

 

Midterm 2: Friday, November 17, 2-2:50 pm, covers Lectures 13-28

Practice Exam Solutions Comments
Study Guide
Mock Midterm 2 Solutions Courtesy Ross Parker
Midterm 2 Solutions Fall 2023 Midterm 2
Review Problems 1 Solutions Courtesy Ross Parker
Review Problems 2 Solutions Courtesy Ross Parker
Midterm 2 – Review

 

Final Exam: Saturday, December 16, 2-5 pm, covers Lectures 1-37

Practice Exam Solutions Comments
Study Guide
Mock Final Solutions Courtesy Ross Parker
Final Exam Solutions Fall 2023 Final Exam
Review Problems Solutions Ignore 12, Courtesy Ross Parker
Final Exam – Review

Note: Please also look at the Midterm 1 + Midterm 2 practice material above for more review

Calendar