STAT 415: Introduction to Mathematical Statistics

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course overview

STAT 415 follows the content covered in STAT 414 and focuses on the theoretical treatment of statistical inference, including sufficiency, estimation, hypothesis testing, regression, analysis of variance, chi-square tests, and nonparametric methods. The course goals are:

  1. To develop a theoretical understanding of estimation.
  2. To develop a theoretical understanding of hypothesis testing.
  3. To develop a theoretical understanding of nonparametric methods.
  4. To develop a theoretical understanding of basic Bayesian methods.

course topics

A theoretical treatment of statistical inference, including sufficiency, estimation, testing, regression, analysis of variance, and chi-square tests.

Here is a link to the Online Notes for STAT 415.


The only official requirement is having successfully completed STAT 414.  However, if you had trouble with any of the calculus methods used in STAT 414, such as differentiation, integration, series, and limits, you might want to review these methods again before the course begins.


Probability and Statistical Inference, 8th edition, by Robert V. Hogg and Elliot A. Tanis.
Probability and Statistical Inference
, 9th edition, by Robert V. Hogg and Elliot A. Tanis.
(Fall Semester 2014)

We will primarily cover chapters 6-10.


Students must have immediate access to a printer/scanner in order to scan hand written assignments into .pdf documents and upload them into Canvas.

Access to the Minitab 17 statistical software package. (Although you will actually be allowed to use any of the other mainstream statistical packages, such as SAS, SPSS, and R, the methods in the course will be demonstrated only using Minitab.) See the Statisitical Software page for more information.

assessment plan

Quizzes - 10
Exams - 5

PLEASE NOTE: This course may require you to take exams using certain proctoring software that uses your computer’s webcam or other technology to monitor and/or record your activity during exams. The proctoring software may be listening to you, monitoring your computer screen, viewing you and your surroundings, recording and storing any and all activity (including visual and audio recordings) during the proctoring process. By enrolling in this course, you consent to the use of the proctoring software selected by your instructor, including but not limited to any audio and/or visual monitoring which may be recorded. Please contact your instructor with any questions(Read more...)

academic integrity

All Penn State policies regarding ethics and honorable behavior apply to this course. Academic integrity is the pursuit of scholarly activity free from fraud and deception and is an educational objective of this institution. All University policies regarding academic integrity apply to this course. Academic dishonesty includes, but is not limited to, cheating, plagiarizing, fabricating of information or citations, facilitating acts of academic dishonesty by others, having unauthorized possession of examinations, submitting work of another person or work previously used without informing the instructor, or tampering with the academic work of other students.

For any material or ideas obtained from other sources, such as the text or things you see on the web, in the library, etc., a source reference must be given. Direct quotes from any source must be identified as such.

All exam answers must be your own, and you must not provide any assistance to other students during exams. Any instances of academic dishonesty WILL be pursued under the University and Eberly College of Science regulations concerning academic integrity. For more information on academic integrity, see Penn State's statement on plagiarism and academic dishonesty.

The Eberly College of Science Code of Mutual Respect and Cooperation embodies the values that we hope our faculty, staff, and students possess and will endorse to make The Eberly College of Science a place where every individual feels respected and valued, as well as challenged and rewarded.


It is Penn State's policy not to discriminate against qualified students with documented disabilities in its educational programs. If you have a disability-related need for modifications in this course, contact your instructor and the Office for Disability Services (located in 116 Boucke Building). Instructors should be notified as early in the semester as possible. You may refer to the Nondiscrimination Policy in the Student Guide to University Policies and Rules 1997. See the website for details.

course author

Dr. Laura Simon is the primary author of the materials for this course and has taught this course in residence several semesters.