Izmir Institute of Technology

Food Engineering Department

FE 536

DESIGN OF EXPERIMENTS

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Instructor:  Assist. Prof. Figen (Kösebalaban) Tokatlı

                     Office: (232) 750 62 95

                     E-mail: figentokatli@iyte.edu.tr

 Prerequisite(s): A statistical course

 Text Book: Montgomery, Douglas C., ‘Design and Analysis of Experiments’, Wiley, New York, 5th Edition (2000) 

Reference Books:

Box, George E. P., Hunter, William G., Hunter, J. Stuart, ‘Statistics for Experimenters’, Wiley, New York (1978)

Myers, Raymound H. & Montgomery, Douglas, ‘Response Surface Methodology’, Wiley, New York (1995)

 Course Description

There are techniques to design an experiment and analyze the experimental data to reveal the effects of factors namely process variables. This course is about these methods and techniques, which provide a relationship between factors and response variables (outputs). It emphasizes the connection between the experiment and the model that the experimenter can develop from the results of the experiment. As an introduction to the course, the fundamental concepts of experimental design, such as randomization and blocking, comparison of treatments, the analysis of variance along with simple graphical techniques will be presented. Factorial and fractional factorial designs with particular emphasis on the two-level design system will be introduced. Fitting regression models (linear regression), Response surface methods (RSM), which are the tools for process optimization trough designed experiments, will be covered.

In many industries, the effective use of statistical experimental design is the key to higher yields, reduced variability, and better products. It is believed that, this course can be very useful for students from all science and engineering disciplines.

 Course Outline

I.    Introduction

            I1.  What is experimental design?

            I2.  The role of experimental design

            I3.  Basic statistics, Probability distributions

            I4.  Normality checking

II.   Comparing treatments

            II1.  Significance tests (Hypothesis) and confidence intervals for means and variances

            II2.  Randomization and blocking with paired comparisons

            II3.  Use of Analysis of Variance with a single factor

            II4.  Randomization, blocking and Latin squares

III. Factorial design experiments

III1. Weakness of Classical one-variable at a time strategy

III2.  Introduction to Factorial Designs

III3.  Two level Factorial Designs

III4.  Fractional Factorial Designs

III5.  Three-level and Mixed-level Factorial Designs

IV.   Response Surface Methods

            V1.  Simple modelling with Least Squares (Regression Models)

            V2.  Central Composite Design

            V3.  Box-Behnken Designs

 Teaching Methods

Students will be assigned homework every two weeks. Excel will be enough for the early homework. Computer software including statistical functions is required. There will be one midterm examination and a project. Students are responsible for forming study groups of two and finding a study topic for their term projects. A presentation of the projects will be given by each group.

Students can study with several design of experiment software that is available in department’s computer laboratory:

Modde 7 (Umetrics)

Minitab 13

Design-Expert 6, trial version (Stat-ease) 

Grading

Homework assignments: 20 %       

Midterm Exam: 30 %        

Term Project: 40%      

Presentation: 10% 

Study Material

 DOE Introduction (PDF file)

(Chapter 1 in Eriksson, L, Johansson, E, Kettaneh-Wold, N, Wilkström, C & Wold, S, ‘Design of Experiments: Principles and Applications’, Umetrics Academy, Umeå (2000))