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Applied Statistics

Probability Theory & Statistical Inference (506)

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Applied Statistics

Address:
25 University Ave
West Chester, PA 19383


Phone: 610-436-2440
Email: Randy Reiger

Statistics II: Probability Theory & Statistical Inference (506)

This course is a continuation of STAT 505, but moves towards data analytical applications. We will cover Chapters 7-11,13 in Wackerly, Mendenhall, and Scheaffer (WMS) in great detail. Chapter 6 will be reviewed briefly. In addition, we will discuss most of the topics from Chapters 11 & 13. This will be a repeat of information in STAT 512, but we will dive into the modeling theory a little more deeply. If time permits, we will explore some topics in Chapters 12, 14, & 15. In particular, we will cover:

  • Chapter 7 – Central Limit Theorem 
  • Chapters 8-10: Point estimators (and properties thereof), confidence intervals, suf- ficiency, method of moments and maximum likelihood estimation, and hypothesis tests. 
  • Chapters 11 & 13: Linear and multiple regression, correlation, analysis of variance, and basic categorical data methods.
  • Chapter 14: Introduction to Analysis of Categorical data 
  • Chapter 15 : nonparametric statistics.

Read the Course Descriptions

Example Syllabus

STAT 506 – Statistics II –Probability Theory & Statistical Inference

Office Hours:  Tuesday: 7:00am-8:00am; 8:30pm-9:30pm; Wednesday:  2:30pm-4:00pm;

Thursday: 4:00pm-5:30 pm

Class Time: Tues 5:30 – 8:30

Webpage – BLACKBOARD WEBPAGE FOR CLASS

Required Materials

  • Wackerly, Dennis, D., Mendenhall III, W., and Scheaffer, R.S. (2002). Mathematical Statistics with Applications, 6th ed.  Pacific Grove, CA: Duxbury Press.
  • Course Notes on Blackboard

Goals
This course is a continuation of STAT 505, but moves towards data analytical applications.  We will cover Chapters 7-11,13 in Wackerly, Mendenhall, and Scheaffer (WMS) in great detail.  Chapter 6 will be reviewed briefly.  In addition, we will discuss most of the topics from Chapters 11 & 13.  This will be a repeat of information in STAT 512, but we will dive into the modeling theory a little more deeply.  If time permits, we will explore some topics in Chapters 12, 14, & 15.  In particular, we will cover

  • Chapter 7 – Central Limit Theorem
  • Chapters 8-10: Point estimators (and properties thereof), confidence intervals, suf- ficiency, method of moments and maximum likelihood estimation, and hypothesis tests.
  • Chapters 11 & 13: Linear and multiple regression, correlation, analysis of variance, and basic categorical data methods.
  • Chapter 14: Introduction to Analysis of Categorical data
  • Chapter 15 : nonparametric statistics.

Exam Schedule
We will have two in-class midterm examinations and one take home exam,.  The first in-class midterm will be February 7 (last half of class).  The second in-class midterm will be March 18 (entire class).  The take-home exam will be due April 15.   A cumulative final exam will be during finals week.  Date and Time to be announced in class.   Attendance at examinations is crucial.  Absence will be only due to legitimate excuses.  It will be the student’s responsibility to coordinate with the instructor a make-up time prior to the next class.  Allowable materials for the test will be announced.  At this point, all tests are closed notes, closed books, and closed calculators.

Homework Assignments
There will be 7 or more homework assignments during the semester.  Homework should be written up neatly, organized, and stapled.  Similar to last semester, the homework assignments are an important component of the course.  All problems assigned should be done as complete as possible.   Solutions will be available for most homework assignments.  Four randomly selected problems will be graded.  Please remind me to notify you of the problems that will be graded prior to us reviewing the problems.  Homeworks will be returned the following week.  Each homework group will count towards your final grade.  Homework must be turned in at the due date.  Late homework with a legitimate excuse must be turned prior to the next class from the due date.

Final Grade
Your course grade will be determined by your performance on homework (14%), midterm examinations and take-home examination (20% each), and the final exam (26%).  Final course grades will be assigned on the standard grading system.

Class Schedule
No Class on 3/11/08 – WCU Spring Break & 1/29/08 – WCU Ground-Hog Day Observance

DISABILITIES
 We at West Chester University wish to make accommodations for persons with disabilities.  Please make your needs known to me and to the Office of Services for Students with Disabilities (3217).  Sufficient notice is needed in order to make accommodations possible.

We at West Chester University wish to make accommodations for persons with disabilities.  Please make your needs known by contacting the me and/or the Office of Services for Students with Disabilities at ext. 3217.  Sufficient notice is needed in order to make the accommodations possible.  The University desires to comply with the ADA of 1990

Final Comments
*Attendance is not required but expected.  If you need to be absent, please let me know. 

*Working together on homework problems is permitted and encouraged, but each student  should  write  up  his/her  solutions  independently  of  others  (this  will  help greatly).  Naturally, cheating on exams is an extremely serious offense and will be dealt with accordingly.

*Feel free to ask questions. This is your class.  I’m just the tour guide.  Courses like this are intimidating at first, especially for those removed from the academic setting for some time, but remember, it’s your time and class.

*The background material may have been information you did not master.  The background material is tools we need to use.  Do you need to know everything about the tool to use it? No, just enough to get the job done (and not be too dangerous).  If you feel your algebra and calculus skills are not up to speed, please take advantage of the school’s learning center and library resources, such as videotape review guides.

* Good Luck!

References
The material presented here is from a collection of sources.  Some from the web, textbook, or hard-copy handouts.  The collection of these materials I hope bring the material in a complete and concise format.

Mode, C.J. (1995).  Lecture Notes Probability and Statistics, Drexel Univeristy

Wentzell, A. (2003).  Lecture Notes Probability and Statistics downloaded from www.math.tulane.edu/~wentzell

The Statistics Homepage

UCLA Statistical Resources Page

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