Catalog Description

1702.371 Statistical Design of Experiments I                                                                                              3 s.h.
(Prerequisites: 1702.360 and 1702.361 or Statistical Research Methods in Psychology I and II)

Students will gain an understanding of the major theoretical and practical concepts in the statistical design of experiments. The relevance of statistical experimental design to all experimentation will be presented in a highly applied manner. Students will be exposed to a variety of applications from a wide range of subject areas. Students will learn how to use the statistical design of experiments to obtain the maximum information with a minimum number of experimental trials for any type of experimentation or data collection. Examples from business, social and physical sciences and engineering will be used to illustrate concepts.

OBJECTIVES:

Students will:

a) Gain an understanding of the theoretical and practical aspects of the statistical design of experiments and see its relevance in a wide range of applications
b) Gain a strong foundation for the basics of statistical experimental design
c) Work on problems of various degrees of complexity
d) Use the computer to develop experimental designs and perform analyses of the designs
e. Be prepared to use statistics and experimental design techniques in industrial applications

TOPICAL OUTLINE

I. Fundamentals of Statistical design of Experiments and Analysis of Experimental Data

This section will cover the basic principles governing experimental design techniques. Principles of Statistics as they relate to experimental design will also be covered.

a. Rationale for statistical design
b. Statistics background for experimental design
c. Development of designs
d. Orthogonality criteria
e. Comparisons of a one-factor-at-a-time approach with statistical designs
f. Distributions
g. Analysis of variance
h. Matrix analysis and operations

II. Methods of Statistical Experiment Design

This section will cover specific experimental design techniques. The basics of each technique will be covered. And applications will be discussed in detail. Appropriate application of experimental design techniques will be detailed.

a. Block and incomplete balanced block designs
b. Factorial designs
c. Response surfaces
d. Mixture designs

III. Analysis of Data from Statistical Experiment Designs

This section will cover the analysis of data from experimental design techniques discussed above. The emphasis will be on analysis techniques and a comparison of how experimental design makes data analysis simpler and leads to better predictions.

a. Model building
b. Analysis of variance and covariance
c. Interblock variance
d. Regression analysis