Math 3200 Handouts and Homework Assignments - Spring 2020

This a temporary schedule and will be updated as the semester goes.
Updated Lecture notes

Week Topic Reading Homework and Exam Handouts
Week 1
01/13, 01/15, 1/17
Introduction to Statistics and Statistical Software Chapter 1.1-1.4
Introduction to R, RStudio, RMarkdown
First Survey
Installation and Practice of R
Olympic records
Music and Memory
Short Introduction to R
Introduction to R (Sample codes: P82-84)

Week 2
01/22, 01/24
Data Exploring and Descriptive Statistics Chapter 1.5-1.10 Exam Data
Labor Data
HW1
Solution to HW1
Data Exploring Example in R
Frequency Table Example in R
FatherSon Data for Regression
Week 3
01/27, 01/29, 01/31
Probability Concepts:
Random Variables, CDF/PDF, Mean, Variance,
Chapter 2 HW2
Solution to HW2
Introduction to Probability
Conditional Probability
Week 4
02/03, 02/05, 02/07
Special distributions:
Bernoulli, Binomial, Normal
More special distributions: log Normal, Uniform, Exponential
Negative Binomial,Hypergeometric, Poission
Chapter 3 Midterm I Solution
HW3
Solution to HW3
Solution to HW3 Part 2
Solution to HW3 Part 2 R code
Example Midterm I
Solution
Binomial & Normal in R
Week 5
02/10, 02/12, 02/14

Joint Distribution
Conditional distribution
Chapter 4 HW4
Solution to HW4
Normal Distributions and QQ Plots
Demo of Binormal Distribution
3-D histogram
Week 6
02/17, 02/19, 02/21
Sampling Distributions,
LLN, CLT
Chapter 5 HW5
Solution to HW5 part 1 part 2
Week 7
02/24, 02/26, 02/28
Chi-square distribution, Student's-T distribution, F distirubiton
Statistical Models for Data
Chapter 6-7 HW6
Solution to HW6 part 1 part 2
Week 8
03/02, 03/04 , 03/06
Concepts of Inference:
Point Estimation, Confidence Interval
Hypothesis Test
Notes P187-220 Chapter 6 (6.3.3 was mentioned in week 2 and will be revisited in the regression part)
Chapter 7.1-7.2
Chapter 8.1-8.2
Midterm II Solution Example Midterm II
Solution
Derivation of Confidence Interval of Mean
One sample z-test and t-test and confidence intervals
Week 9, Week 10
Spring Break
Week 11
03/23, 03/25 , 03/27
Inference on Mean via CLT, Inference on Variance Notes P221- 240
Chapter 7.3.1, 7.3.2, 7.3.5,7.4
Chapter 8.3.1, 8.3.2, 8.4
HW7
Solution to HW7
Inference for One Sample
Week 12
03/30, 04/01 , 04/03
Inferences for two samples:
mean, variance, proportion
Notes P242-264
Chapter 9.1, 9.2, 9.4, 9.5.1, 9.5.2
HW8
Solution to HW8 Part2
Two Sample Inferences
Week 13
04/06, 04/08 , 04/10
Nonparametric Tests *
Inferences for Proportions and Counts
Notes P265-270
Notes P270-281

Chapter 10.2.3 (One-Way Table)
Chapter 9.5.3 (Two-Way Table Matched Pairs)

HW9
Solution to HW9 Part2
Pearson Chi-square Tests
Week 14
04/13, 04/15 , 04/17,
Simple Linear Regression,
Correlation
Notes P282 - 327
Chapter 4.6.2, 6.3.3, 7.3.3, 7.5, 8.3.3 8.3.4
Midterm III
Solution
Simple Linear Regression Example
Model Diagnosis in Regression
Outlier Data
Hospital Infection Data
Week 15
04/20, 04/22 , 04/24
Multiple Linear Regression Notes P328 - 343
Chapter 12
HW10
Solution Part I II
HW11
Solution Part I II
Take Home R Project
PIQ data
Blood Pressure Data
Multiple Linear Regression Example Multiple Linear Regression with Categorical Variables
Final Week 05/01 10:30 am. -12:30 pm.     Final Exam

• Reading and Problems in text are from
Akritas, Probability and Statistics with R for Engineers and Scientists.
• Relationships among common distributions
• Table of common distributions
• Tables provided in the exams