Math 567 Statistical Design and Analysis of ExperimentsGeneral Course Description

Course Requirements

Course DescriptionIntroduction

List of Topics and Methods Covered

Basic Principles of Experimental Design

Statistical Analysis

More Experimental Design Principles

Course requirements

Math 567 examines basic principles of statistical design and analysis of experiments. An introductory course in statistics is required.

Course DescriptionIntroduction

Basic Principles of Experimental DesignWe will look at the role of randomization and replication in designing experiments. We start with a single variable and move on to factorial designs for more than one variable. We

Statistical Analysis

How do we test the hypotheses and generate the estimates that were the driving force for the experiment in the first place? The statistical analysis of experiments is closely tied to the experimental design. We examine some basic principles of statistical analysis including, ANOVA tables, confidence intervals and F-tests. We also will investigate how analysis is dependent on design.

More Experimental DesignPrinciples

Factorial Designs are not always possible or desirable. Frequently other aspects of the experimental process which are not of direct interest in the study, but may contribute to variability of response may be present. Also, it is possible that one can not completely measure the experimental material of interest. The principles of blocking and nesting examine these design effects.When there are many variables in an experiment, a full factorial design can quickly require a large number of runs. Of course the more runs needed the more expensive and time consuming the experiment. Can we get the needed information out of the experiment without carrying out a full factorial design? In most cases, the answer is yes. We will explore fractional factorial designs and see how to choose the design so that you can test the hypothesis of interest and minizmize the number of runs.

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Math 567 Home page

Department of Mathematics and Statistics Home page

Statistics Area Group Home Page

Western Michigan University Homepage

e-mail: Robert J. Buck

URL: http://www.stat.wmich.edu/courses/m567_description.html

Revised: July 9, 1998