MATH 3316: Statistical Inference
Fall 2018
Table of Contents
Announcement
You can review the final exam 2:00pm - 5:00pm on Dec 14th. Please come to SEIR 218.
The instructor moved his office to SEIR 218.
Contact information for a specialized tutor can be found on the Blackboard.
About
Statistical inference is the process of generating conclusions about populations or scientific truths from noisy data. Without statistical inference we simply live within our data. With statistical inference, we try to translate data into new knowledge.
This course presents the fundamentals of inference in a practical approach for getting things done. Upon successful completion of this course, students will understand the broad directions of statistical inference and use this information for making informed choices in analyzing data.
After this course, students shall have skills to
- Have a conceptual understanding of the unified nature of statistical inference.
- Interpret results correctly, effectively, and in context without relying on statistical jargon.
- Critique data-based claims and evaluate data-based decisions.
- Use statistical software (R) to summarize data numerically and visually, and to perform data analysis.
Course Syllabus
Course Materials
Course related materials (Powerpoint slides, R code, homework, etc.) can be found here.
Course Schedule
The instructor reserves the right to adjust this schedule in any way that serves the educational needs of the students enrolled in this course.
| Week | Date | Topics | Reading | Notes |
|---|---|---|---|---|
| Week1 | 08/23 | Introductions, Displaying Distributions with Graphs | IPS 1.1-2 | |
| Week2 | 08/28 | Displaying Distributions with Numbers, Density Curves and Normal Distributions | IPS 1.3-4 | |
| Week2 | 08/30 | Relationships, Scatterplots, Correlation | IPS 2.1-3 | HW1 - Due 09/06 in class |
| Week3 | 09/04 | Design of Experiments, Sampling Design | IPS 3.1-3 | |
| Week3 | 09/06 | Randomness, Probability Models | IPS 4.1-2 | HW2 - Due 09/13 in class |
| Week4 | 09/11 | Quiz I, Random Variables | IPS 4-3 | |
| Week4 | 09/13 | Means and Variances of Random Variable, General Probability Rules | IPS 4.4-5 | HW3 - Due 09/20 5:30pm |
| Week5 | 09/18 | Statistical Inference | IPS 5.1-2 | |
| Week5 | 09/20 | Binomial distribution | IPS 5.3 | |
| Week6 | 09/25 | Exam I | ||
| Week6 | 09/27 | Poisson distribution, Confidence interval for a population mean | IPS 6.1 | HW4 - Due 10/04 5:30pm |
| Week7 | 10/02 | Confidence interval for a population mean, Hypothesis Testing | IPS 6.2 | |
| Week7 | 10/04 | Test statistics, P-values | IPS 6.2 | HW5 - Due 10/11 5:30pm |
| Week8 | 10/09 | Quiz II, Power and Inference as a Decision | IPS 6.3-4 | |
| Week8 | 10/11 | Inference on Means | HW6 - Due 10/25 5:30pm | |
| Week9 | 10/16 | Inference on Means | IPS 7-1 | Ch07 supplements |
| Week9 | 10/18 | Comparing Two Means, Review for Exam II | IPS 7-2 | |
| Week10 | 10/23 | Exam II | ||
| Week10 | 10/25 | Inference on a Single Proportion | IPS 8.1 | HW7 - Due 11/01 5:30pm |
| Week11 | 10/30 | Comparing Two Proportions | IPS 8.2 | |
| Week11 | 11/01 | Comparing Two Proportions / Two-Way Tables | IPS 2.6 | HW8 - Due 11/08 5:30pm |
| Week12 | 11/06 | Inference for Two-Way Tables | IPS 9.1 | |
| Week12 | 11/08 | Simple Linear Regression | IPS 2.4-5 | HW9 - Due 11/18 11:59pm |
| Week13 | 11/13 | Quiz III, Inference for Simple Linear Regression | IPS 10.1 | |
| Week13 | 11/15 | Inference for Simple Linear Regression | IPS 10.2 | Final HW - Due 12/06 11:59pm |
| Week14 | 11/20 | Multiple Linear Regression | IPS 11 | |
| Week14 | 11/22 | No class | Thanksgiving holidays | |
| Week15 | 11/27 | Inference for One-Way Analysis of Variances | IPS 12.1 | |
| Week15 | 11/29 | Comparing Means | IPS 12.2 | |
| Week16 | 12/04 | Review | ||
| Week16 | 12/06 | Final exam | PKH 103, 5:30 – 8:00 PM |