The course is presented in two modules:
Module 1 – Three-day programme in which the participants will be trained in the use of DOE factorial techniques, including the statistics that underlie DOE. The objective of factorial DOE is to identify the few factors, among many possible factors, which have an effect on the response. On day three of module 1, delegates will partake in a practical workshop designing experiments, applicable to their own area of work.
Module 2- Two-day programme devoted to the optimization techniques of Response Surface Methodology (RSM) and Mixture Design. On day two of module 2, delegates will partake in a practical workshop designing experiments, applicable to their own area of work.
The training course is built around more than 30 real-life case studies, mainly from the chemical, electronics, and engineering manufacturing industries. The cases studies have been carefully selected to demonstrate all of the key principles of DOE. Delegates will work their way through these practical case studies learning the techniques of DOE and the advanced software that is used to design and analyze experiments.
Module 1
Days 1 – 3: Factorial and Fractional Factorial Designs
Day 1: Statistics that Underlie Design of Experiments
- Introduction to basic statistics-understanding variation in processes
- Mean, standard deviation, degrees of freedom
- The normal and standard normal distributions – their importance in DOE
- The normal probability plot and the Anderson Darling statistic – understanding the importance of normality and how to test for normality
- Explanation of tail values, alpha values and p-values
- Hypothesis testing – 2-sample t-test and F-test
- Analysis of variance (ANOVA) and introduction to experimental design with one factor
Note: Regression analysis will be left over to Day 1 of module 2.
Days 2 – 3: Design and Analysis of Experiments
- Planning the experiment and determining the experimental objective.
- Explanation of the terminology – responses, factors, levels, replication, repetition, randomization, design points, design runs
- Understanding the statistical importance of avoiding excess variation in experiments – the role of measurement and careful control of the experiments
- Establishing the basic principles with a two factor and three factor design – explanation of main effects and interactions
- Analysis of experimental results using the two-sample t-test, ANOVA, and the probability plot
- Screening out the non-significant factors
- Understanding how to interpret interaction plots
- The role of blocking in DOE
- The need to reduce the number of runs when there are a large number of factors involved – the concept of using fractional factorial designs
- “Folding over” to improve resolution of factorial designs
- Practical exercise designing an experiment applicable to the delegates own area of work.
Module 2
Days 4 and 5: Optimization with Response Surface Methodology (RSM) and Mixture Designs
- Overview of the factorial designs linking the work covered in Module 1 to the RSM techniques in Module 2
- Regression analysis – modelling with regression - lack-of-fit analysis, correlation analysis, R-squared, R-squared adjusted, R squared predicted
- The objectives of RSM - Optimizing the settings of the input factors which affect the response
- Understanding the quadratic model – selecting the appropriate model – adjusting the model for best results
- Finding the best compromise between multiple responses using advanced mathematical techniques and computer software
- Optimal designs – using advanced mathematical techniques and computer software to select the most appropriate runs in a reduced set of candidate points
- Mixture designs – experimenting with component proportions to achieve optimum formulation
- Designs with constraints – Optimal mixture designs
- Combined Designs using combination of mixture components and process factors
- Practical exercise designing an experiment applicable to the delegates own area of work.
The time span between the presentations of the two modules can be arranged to suit the requirements of the delegates.
Note: Course can be presented in four days if Mixture Design is not required.