# 79299 - Design of Experiments

### Course Unit Page

• Teacher Michele Scagliarini

• Credits 6

• SSD SECS-S/01

• Language English

## Learning outcomes

The course objective is to learn how to plan, design and conduct experiments efficiently and effectively, and analyze the resulting data to obtain objective conclusions. Both design and statistical analysis issues are discussed. Particular attention will be paid to: understanding the process of designing an experiment including factorial and fractional factorial designs; examining how a factorial design allows cost reduction, increases efficiency of experimentation, and reveals the essential nature of a process.

## Course contents

Introduction to designed experiments.

1. Experiments with a single factor (10 hours)
-The fixed effects model: analysis of variance and regression model
-The random effects model
-The randomized complete bolck design
-Exercises with R

2 Factorial experiments (6 hours)
-The two-factor factorial design with fixed effects: analysis of variance and regression model

3 The 2design (14 hours)
-The 22 design, the 23 design, the general 2k design
-A single replicate of the 2k design
-The addition of center points to the 2k design
-Exercises with R

4 Blocking in a Factorial Design (6 hours)
-Blocking in a Factorial Design
-Examples with R

D.C. Montgomery (2013) “Design and analysis of experiments”. Eighth Edition. John Wiley and Sons, Singapore.

J. Lawson (2015). "Design and Analysis of Experiments with R", Boca Raton: CRC Press, Taylor & Francis Group.

Lecture notes available on the course unit teaching material.

## Teaching methods

Lectures and computer exercises with Excel and R.

## Assessment methods

The assessment aims to evaluate the achievement of the following learning objectives:

• the knowledge of the design of experiments methodology

• the ability to design factorial experiments in practical cases

The exam is written, and it contains 3 or 4 exercises to complete in two hours.

During the exam it is not allowed to consult textbooks or notes.

The evaluation is expressed as a grade of out of 30.

## Teaching tools

Slides.

http://www.unibo.it/docenti/michele.scagliarini

## Office hours

See the website of Michele Scagliarini