**Dates**: March 30, 31 and April 1^{st}

**Times:** 9.00 am to 5.00 pm

**Location:** Shannon

**Cost**: €995 members – €1200 non members

**Introduction**

Many experimenters are using an OFAT (one-factor-at-a-time) approach to their experimental designs. In addition to the issue of inefficiency, this approach fails to identify often crucially important interaction effects among factors. There are available to experimenters advanced analytical tools based on mathematical techniques and utilising special computer software, which will enable them to gain a deep understanding of their processes, including the impact of interactions among factors, and to do so in the most efficient manner with minimum numbers of experimental runs. These modern DOE tools will be presented on this training course.

**What’s covered?**

**Day 1**

Introduction to Statistics Underlying Experimental Design

• Mean, variance, standard deviation, degrees of freedom

• The normal, Student-t and F distributions

• Normal probability plots

• Hypothesis testing

**Day 2**

DOE Terminology

• Definition of terms such as independent and dependent variables, factors and levels, response, treatment, error and replication Planning and Organizing Experiments

• Applying the basic elements of experiment planning and organizing, including

determining the experiment objective; selecting factors, responses, and measurement methods; choosing the appropriate design

• Design Principles

• Applying the principles of power and sample size, balance, replication, order, efficiency, randomisation and blocking, interaction, and confounding

Design and Analysis of Factorial Experiments

• Constructing full-factorial designs and applying computational and graphical methods to analyse and evaluate the significance of results

• Planning the experiment and determining the experimental objective.

• Explanation of the terminology – responses, factors, levels, replication,

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

**Day 3**

• Fractional factorial designs continued

• Simple and multiple regression and correlation analysis

• Analysis of residuals

• Optimization – Response Surface Methodology (RSM)– Modelling the relationship

between factors and responses using advanced mathematical techniques and computer software

• Simultaneously optimising multiple responses

Who Should Attend?

• Product design and process design engineers and scientists

• R&D engineers and scientists

• QC and QA personnel

Entry Requirements

A prior knowledge of basic statistics is recommended. However, the course will commence with a review of basic statistics, which will be sufficient to provide understanding of the statistical material that will be met during the course. Participants should have knowledge of mathematical principles, for example, Leaving Certificate mathematics.

**What will I learn?**

Participants achieve the following learning outcomes from the programme;

• Plan designed experiments to include appropriate factors and responses

• Analyse factor effects and interaction effects using specialist computer software

• Interpret the outcome of designed experiments so as to choose factor settings for optimum process performance

• Demonstrate knowledge of the statistics underlying the design of experiments

Software

Minitab will be demonstrated as part of the training. Delegates are invited to bring a laptop loaded with either Minitab 16 or Minitab 17 and they will work through several Minitab exercises throughout the three days of the course. A free 30 day trial version of Minitab 17 is available on www.minitab.com. For in-company training courses, there is an option to use the specialist DOE software, Design Expert. A free 45 day trial version of Design Expert 9 is available for downloading from www.statease.com/dx9.

**Expert Course Tutors – Profile & Testimonials**

Albert Plant

Albert Plant is a chartered engineer (FIEI) and has a B.Sc. degree in statistics. He has nineteen years’ experience training and consulting in DOE. His work is in the pharmaceutical and medical devices industries, food industry, electronics, automotive parts, and other manufacturing.

Albert has used Minitab software since 1994. He is a volunteer tester for Minitab on new versions and he was involved in testing version 17 of Minitab prior to its launch in 2014.