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MATH340 - Multivariate Statistics

Course Details

Course Code: MATH340 Course ID: 4551 Credit Hours: 3 Level: Undergraduate

This course will introduce to students analysis of categorical data, log linear models for two- and higher-dimensional contingency tables, and logistic regression models. Also, students will analyze aspects of multivariate analysis to include random vectors, random sampling, multivariate normal distribution, inferences about the mean vector and MANOVA. (Prerequisites: MATH328 and MATH302)


Course Schedule

Registration Dates Course Dates Session Weeks
07/27/21 - 12/31/21 01/03/22 - 02/27/22 Winter 2022 Session B 8 Week session
10/26/21 - 04/01/22 04/04/22 - 05/29/22 Spring 2022 Session B 8 Week session

Current Syllabi

After completing the course, the student should be able to accomplish these Learning Objectives (LO):

CO-1. Describe how multivariate statistics can be used in research design
CO-2. Map research questions with associated multivariate statistical techniques.
CO-3. Summarize important issues associated with screening data.
CO-4. Apply Multiple Regression techniques to real world research questions.
CO-5. Apply Multivariate Analysis of Variance and Analysis of Covariance to real world research questions.
CO-6. Apply Logistic Regression models to real world research questions.
CO-7. Apply Time-Series Analysis across multiple real world situations.

Course grading will be based on Forums participation (includes discussion questions, weekly summaries, and other data analysis activities), five graded data projects, and a final examination.


Discussion Forum Questions: There will be discussion questions established for Weeks 1, 3, 5, and 7. Students responses are due 11:59 pm, Wednesdays of Weeks 2, 4, 6, and 8. Responses to a minimum of two classmates postings are due 11:59 pm, Sundays of Weeks 2, 4, 6, and 8. Maximum assessment for each week is 4 percentage points of the course grade (3.5 for response and .5 for comments to classmates) for a total of 14 out of 100 points. Each student is required to participate in the discussion question forum; initial responses will not be accepted or be given credit after the due date. Participation (submission of response) outside of any particular week will not be given credit. There are no exceptions to this policy. Additionally, students will not be able to pre-post forum discussion questions.

Interim Summary Reports: The interim summary reports are the second component of class participation. This report must be completed by the end of Weeks 3, 5, and 7 of the course (Sunday, 11:59 PM Eastern Time or 2350 hours). Late assignments will not be accepted. There are no exceptions to this policy. Maximum assessment for each weekly summary report is 20 points of the course grade for a maximum of 60 points. A minimum of 250 words are required for the report. For the interim summary report, each student is required to complete a minimum of 150 word summary report to include the following as a minimum: What was learned over the previous weeks since last interim summary; identification and presentation of a practical research application (not a problem) from the course materials covered during the period; and a summary of the student’s thoughts on the material covered during the period.

In addition, student should share links to any web sites used to help support learning and understanding of the materials for that week (outside of the tutorials). Student’s interim reports will be evaluated for clarity, quality, content, and proper use of terms, spelling, and grammar. Students will post their summaries in the forum for Interim Summary Reports for weeks 3, 5, and 7. Interim Summary Reports posted in forums other than the Interim Summary Reports Forum will not be accepted or graded; there are no exceptions to this policy. Summaries must be posted as a separate thread. If not posted as a separate thread, it will not be accepted or graded. Each student is encouraged to comment on other students summaries. Additionally, students are not to use the summary to ask questions; questions should be posted in the “Q &A” Forum.

Other instructor directed activities: If required, the instructor will post additional activities and they will be noted in the Weekly Announcement. The weekly discussion forum is a tool for the students to use to communicate their questions and comments. Please make full use of the discussion forum by asking questions or making comments on the materials covered during any particular week. Do not ask for assistance on particular quiz or exam questions unless it is for clarification.

Data Analysis Projects: The five graded Data Analysis projects are dispersed throughout the course (see course schedule). They are worth 15 points each. These projects are posted in the Assignments Forum. Student will use the data sets available and demonstrate their knowledge of the subject matter when completing the projects. Students will receive feedback on the project and may be asked to provide updates on incomplete or incorrect analysis. Students may use text and notes in completing the projects, but no help from anyone else.

Final Exam: The Final Exam will be taken during the last week of the semester. It will be a three hour online exam. The Final Exam will be worth 19 percentage points toward student’s final course grade. The final exam will cover all materials in the course. Students will have 3 hours to complete the 20 question exam. (Students should make sure that adequate time is allocated to take the exam). The final exam will not be a proctored exam. Students may use the textbook and notes in completing the final exam, but no help from anyone.

Students’ final grades will be posted as soon as the instructor receives and evaluates the Final Exam. Official grades will continue to be issued by the University on the grade report form. Professors have 7 days from the end of the semester to submit their grades to the University.

Please see the Student Handbook to reference the University’s grading scale.

The points earned on the graded course assignments will determine the course grade. The final grade in the course will be based on total points. Grades will be assigned based on the following composite scores:

NameGrade %
APUS Honor Code and Pledge APUS Honor Code and Pledge
Introduction Froum IntroductionForum
Weekly Forums Discussion Forum 1
Discussion Forum 2 Discussion Forum 3
Discussion Forum 4 Interim Summary Reports
Interim Summary Week 03 Interim Summary Week 05
Interim Summary Week 07 Projects
Project 1 Project 2
Project 3 Project 4
Project 5 Final Exam
Final Exam

Additional Resources: Students will be provided access to a statistical software package in order to input data and complete analysis using the techniques presented in class..

Tutorials: Additional online help involving mathematical concepts associated with topics in lower level Mathematics courses is available through the University. Please go to the web page at Mathematics Program Guide to view the mathematics tutorials. These tutorials include 4-6 minute vignettes. Students may access these videos from the links in the Course Outline above by clicking on Ctrl+Click on the link.

Book Title:Using Multivariate Statistics, 6th Ed - the VitalSource e-book is provided inside the classroom
Publication Info:VS-Pearson
Author:Barbara G. Tabachnick, Linda S. Fidell
Unit Cost:$211.45
Electronic ISBN:9781269660556
Electronic Unit Cost:$35.00

Previous Syllabi

Not current for future courses.