# Fiches de cours 2018-2019

## Design and analysis of experiments in materials science and engineering

Lemaître Jacques

English

Every year

#### Remarque

Postponed until further notice

#### Summary

Provide the student with the skills and tools necessary for a wise and efficient orgqnization of his-her experimental work in all fields of materials science and technology (development, processing and caracterization of materials)

#### Content

Introduction:

• Experimental system; inputs and outputs; factors; treatments; tests; experience
• Optimization; problem solving

Refreshment of basic statistics:
• Descriptive statistics (statistical population, sampling, mean, standard deviation, standard distribution)
• Hypothesis testing (Type I and type II error risks)
• Statistical tests (Student's t-test, F- test, Khi-2 test)

Simple comparison designs:
• Comparing two data sets: differences between means, variance ratios
• Sensitivity and power: how many tests are required ?
• Randomization: how to prevent systematic effects of parasitic factors ?

Single factor designs:
• Statistical model
• Analysis of variance (ANOVA)
• Model adequacy checking (residuals analysis)
• Fully randomized vs randomized complete block designs
• Choice of sample size

Multifactorial designs:
• Main factor effects, interactions
• 2k factorial designs
• Single replica of multifactorial designs
• Partial multifactorial designs

Case studies:
• Building materials, metals and alloys, ceramics, composites
• Biomaterials (in vitro, in vivo and clinical experiments)

#### Note

Intensive one-week course. MS Excel spreadsheets used for practical work

#### Keywords

DOE, ANOVA, statistical analysis, experimental methodology

#### Learning Prerequisites

##### Recommended courses

Basic statistics and materials science, MS Excel

#### Assessment methods

Written and oral test

#### Resources

##### Bibliography

Reference book: D.C. Montgomery &#8220;Design and Analysis of Experiments&#8221; Wiley & Sons, NY.

### Reference week

Lecture
Exercise, TP
Project, other

### legend

• Autumn semester
• Winter sessions
• Spring semester
• Summer sessions
• Lecture in French
• Lecture in English
• Lecture in German