Stat664 Syllabus Spring 2016
- Course Objectives
- Students will gain in-depth understanding of principles of planning experiments and analyzing experimental data.
- Course Outcomes
- Upon completion of this course, students should be able:
- To correctly explain the three basic principles of experimental planning.
- To formulate the degrees-of-freedom decomposition and the sums-of-square decomposition of one- or two-factor
- To correctly determine the error term(s) in random-effects, mixed-effects or nested design models.
- Prerequisites & Corequisites
- Prerequisite: STAT 6620
- Course Materials
- Textbook: Design of Experiments STAT6640, Western Michigan University, McGraw Hill Create Textbook
(selected chapters from Applied Linear Statistical Models by Kutner, Nachtsheim, Neter).
ISBN-13: 978-1-121-84935-8, ISBN-10: 1-121-84935-0.
- Class Notes: Class notes will also be used and followed closely.
- There will be 3 homework assignments, due
and April 21, respectively, at the
beginning of the classes of these dates.
Homework assignments submitted after the respective due dates will not be accepted. You are
encouraged to discuss with classmates general strategies for solving problems.
However, any assignment turned in should be substantially your own work.
- There will be a final project (due date:
April 21 at the beginning of
- Computer Use
- The use of computer softwares is important in planning experiments,
analyzing experimental data, and presenting analysis outcomes. You are
required to use one of three
statistical softwares: R, SAS, or Minitab. Some problems may
require the use of a specific software package.
- Grading Policy:
- Two 80-minute tests at 15% each
final exam 20% (2:45-4:45 Thursday, April 28)
- Grading Scale
||90 or more
- Incomplete Grades
- University & Deparmental policy will be followed for
- Academic Integrity
You are responsible for making yourself aware of and understanding
the policies and procedures in the Catalog that pertain
to Academic Honesty (accessible online at goWMU → catalog →
Academic Policies → Students Rights and Responsibilities → Student
Academic Conduct). These policies cover cheating, fabrication,
falsification and forgery, multiple submission, plagiarism, complicity
and computer misuse. You should consult with your instructor if you are
uncertain about an issue of academic honesty prior to the submission of an
assignment or exam.
Use of Email:
The only email
address that should be used for communication between WMU students and
WMU faculty and staff is the email address associated with a BroncoNet
ID. This email address typically takes the form
"firstname.lastname@example.org." An example is
email@example.com. Students cannot automatically forward
email from this address to other addresses. Students can access
this email account or get instructions for obtaining a BroncoNet ID at
- Design of Experiments
- Controlled Experiments Versus Observational Studies
- Principles of Planning Experiments
- Review: Theory Review and Preparation
- Univariate/Multivariate Normal Distributions
- Central/Noncentral Chi-square Distributions
- Central/Noncentral F Distributions
- Some Important Results from Sampling Normal Distributions
- Review: One-way ANOVA Models
- Models and Assumptions
- Diagnostics of Model Assumptions
- ANOVA Table
- Follow-up Studies
- Sensitivity of Model Assumptions and Alternative Test Procedures
- Orthogonal Polynomials and Trend Analysis
- Simultaneous Inferences
- Two-way ANOVA Models
- Equal Sample Sizes Case (Chapter 19)
- Single Replicate Case (Chapter 20)
- Randomized Complete Block Experiments (Chapter 21)
- Unbalanced Case, i.e., Unequal Sample Size Case (Chapter 23)
- Multi-way ANOVA Models (Chapter 24)
- Variance Component Models (Chapter 25)
- Random Effects Models
- Mixed Effects Models
- Nested Designs, Split-Plot Designs, and Partially Nested Designs (Chapter 26)
- Repeated Measure Designs (Chapter 27)
- Balanced Incomplete Block Designs, Latin Square Designs, Graeco-Latin Square Designs,
Youden Designs (Chapter 28)
- Screening and Exploratory Experiments: Two-Level Factorial and Fractional Factorial
Designs (Chapter 29)
- Other Topics (if time permitted)
- Response Surface Methodology (Chapter 30)
- Experiments with Mixtures — Two-, Three-Components Experiments