Math 218, Mathematical Statistics
[This course web page is under construction]
Adrien-Marie Legendre (1752–1833)
1820 watercolor caricature by
artist Julien-Léopold Boilly (1796–1874)
Please bookmark this page, http://aleph0.clarku.edu/~djoyce/ma218/, so you can readily access it.
- Description of this course: The emphasis of this course is to develop the
fundamental statistical concepts of inference and hypothesis testing from a
classical perspective using the tools of probability theory. Topics investigated
include sampling and sample distributions, graphical data analysis, point and
interval estimation, hypothesis testing and an introduction to Bayesian
Math 217, Econ 260,
Clark's Academic Catalog
Statistics and Data Analysis by Ajit C. Tamhane and Dorothy D. Dunlop,
Prentice-Hall, 2000. ISBN 0-13-744426-5.
Prentice-Hall's web site for the book.
- Course goals.
- To provide students with a good understanding of the theory of statistics
as described in the syllabus.
- To show how statistical methods depend on the theoretical principles of probability.
- To illustrate the use of statistics in science, both physical and social science
- To examine the assumptions of statistical methods.
- To make connections between statistics and other branches of mathematics, and
to see some of the history of statistics.
- Assignments, quizzes, tests, final:
There will be numerous short assignments, mostly from the text, occasional quizzes,
two tests during the semester, and a two-hour final exam during finals week.
Practice problems will be assigned daily from the text to help you master
the concepts discussed in class. Periodically, problems will be assigned to be
turned in and graded. Although not all practice problems will be submitted for a
grade, it is expected that you will keep up to date on the problems. Collected
homework is due in class on the assigned day. No late assignments will be accepted.
Tests are closed notebook, but you may bring one sheet of notes
and a calculator. In the event that an emergency arises, you are responsible to
contact me before the regularly scheduled exam to make alternative arrangements.
- The course grade will be determined as follows:
2/9 assignments and quizzes,
2/9 each of the two midterms, and
1/3 for the final exam.
- Math 217 class notes from Fall 2014 with information on
Binomial coefficients (combinations),
Axioms for probability,
Uniform finite probabilities,
The Bernoulli process,
Discrete random variables,
Expectation for discrete random variables,
Variance for discrete random variables,
The Poisson process,
Expectation and variance for continuous random variables,
Sums and convolution,
Covariance and correlation,
Moments and the moment generating function,
A proof of the central limit theorem
Class notes, quizzes, tests, homework assignments
(This part of the course page will be constantly updated.)
Tests from past years
This page is located on the web at
David E. Joyce