Welcome to STAT 461!

Overview of the ANOVA model

This is the STAT 461 online course materials website.  There are lots of examples, notes, and lecture materials on this website. You may want to make a bookmark for this site in your browser.

Featured on this site are the online notes on Analysis of Variance originally authored by Dr. Ephraim Hanks.

At the end of this course, successful students will be able to do the following

1. Design and conduct an experiment that exhibits both a treatment design and randomization design that allow for the testing of diff erences between the levels of a single or multiple treatments of interest.

2. Given a description of an experiment, correctly identify common design elements, including:

  • Crossed factorial designs with interactions
  • Nested factorial designs
  • Blocking factors
  • Nuisance variables
  • Split-plot designs
  • Repeated measures
  • Random eff ects

3. Specify an appropriate statistical model for observations resulting from a designed experiment exhibiting the elements in item 2.

4. Identify estimable terms in a statistical model for an experiment, fi nd the least squares estimator of estimable terms, and specify the statistical distribution of the estimator.

5. Conduct and correctly interpret statistical hypothesis tests for the overall eff ect of a treatment and for the e ffects of contrasts.

6. Correctly employ methods for multiple comparisons to control the experiment-wise error rate when multiple hypothesis tests are conducted.

7. Examine model assumptions using residual plots and a description of the experiment. Apply remedial measures such as transformations to the response when such transformations improve adherence to modeling assumptions.

In addition in the Resource section, Worked Examples for how to perform many of the methods used in ANOVA methods in SAS are demonstrated.

ANGEL is the other course website that will support our work in this course.  Use the ANGEL discussion forums to pose questions and collaborate with others in this course to find answers.  Contact the instructor using the ANGEL email tool if you have a question that is more personal in nature, otherwise, the discussion forum is the place for this course's conversation.  My guess is that if you have a question, there are likely others with the same question as well!

ANGEL is where you will find the course syllabus, schedule, any announcements, weekly work assignments, exams and the dropboxes for these assignments and exams as well. 

Once again, welcome to STAT 461!


We hope that you enjoy the course and have a good semester.

(All images used in this course site are obtained from the public domain unless indicated otherwise.)