Mathematical Statistics, II

 

[The Homework Assignments]
The Homework Assignments

These homework assignments are designed to give you some much-needed practice in important course topics. Treating these as mini-tests will help maximize their value to your understanding of the material. Furthermore, treating these as something more than just “doing work” will help train you to excel in your statistical analyses in the future.

Remember: You may think that I am the one to impress. Reality says, however, that you are currently training yourself now for your future. You are really trying to impress your future employers — which may be you!

 

Homework Assignments

Module 1 Assignment: The Review Problems.
This assignment covers material from MATH 321. Being able to do these problems will help you with the new material in this course. I decided on these questions for the following reasons: First, they are either things you should have learned in MATH 321 or should be able to figure out from that course.

Second, these problems can be done in multiple ways. One way is always the “brute force” method using basics. The other way is a “short cut.” Thus, these questions are all easy… and hard.

Third, these cover topics that you will need in the next couple of chapters in the textbook. Being familiar with what is in your textbook is important as you move forward in the course.

Module 2 Assignment: Estimators.
The first part of this course looks at estimators. As such, this assignment will also cover estimators. Necessarily, it will also require things from our first module, namely how to work with functions of random variables.

Module 3 Assignment: Confidence Intervals.
The second part of this course focuses on interval estimation. Actually understanding confidence intervals at this level helps to explain why your STAT 200 teacher had troubles giving a good definition of a confidence interval. It looked as though there should be a probability definition to it, but your prof kept using the term “confident.” So confusing.

Module 4 Assignment: Hypothesis Testing.
The third part of the course covers the theory of hypothesis testing. The basics are as easy here as they were in STAT 200. However, there are some specifics that need exposition. This assignment gives you plenty of practice with the Exponential distribution.

Module 5 Assignment: Goodness-of-Fit.
This is the first homework assignment that deals with applications of the theory we have learned in this course, not just the theory behind it. In the application part of these assignments, I look for you to make an argument and support that argument with facts — properly cited/supported — from your analysis. This means you provide the values of appropriate statistics in addition to your analysis.

Module 6 Assignment: Linear Regression.
This is an application assignment on simple linear regression, the classical linear model, and estimation of the parameters using the ordinary least squares method.

Module 7 Assignment: Analysis of Variance.
This is an application assignment covering ANOVA and post hoc tests. In this assignment, you need to collect data. The data you collect is the percent increase for 30 stocks listed on the NASDAQ.

This page was last modified on 21 April 2025.
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