# Coursebooks

## Design of experiments

#### Lecturer(s) :

Subramanian Vivek

English

#### Summary

This course provides an introduction to experimental statistics, including use of population statistics to characterize experimental results, use of comparison statistics and hypothesis testing to evaluate validity of experiments, and design, application, and analysis of multifactorial experiments

#### Content

Course Introduction

• Observing Experiments - introduction to factors and responses
• Designing efficient experiments - introduction to experimental cost, observation of effects and interactions, and general design strategies
• Building models - Relating factors to responses
• Inference - Relating samples to populations

Descriptive statistics

• Mean, Median, Mode, Standard Deviation - Summary statistics for populations and samples
• Population Statistics
• Graphical Representation - Chart types
• Population distributions - Normal and binomial distributions
• Mean and standard deviation - Summary statistics and degrees of freedom
• Sampling - Randomness and statistical representation

Comparison Statistics

• Sampling, Blocking and randomization
• Replication
• Significance tests - t tests, randomization test, ANOVA
• Regression and fitting - correlation and least squares

Design of Experiments

• Factorial design
• Fractional factorial design

#### Keywords

Statistics, Design of Experiments, Hypothesis Testing, ANOVA, regression, correlation, multifactorial

#### Learning Outcomes

By the end of the course, the student must be able to:
• Design Experiments using multifactorial techniques
• Work out / Determine correlation between experimental data sets
• Characterize sampled data and population data to determine central tendencies and variability
• Assess / Evaluate Statistical validity of a hypothesis

#### Teaching methods

Lectures with extensive in-class interactive content, exercises using computational tools

#### Expected student activities

Attend lectures and participate in in-class discussion

Complete exercises

Complete in-class and final examinations

#### Assessment methods

2 written midterm tests in class

Written final examination

#### Supervision

 Office hours Yes Assistants Yes Forum No Others Office hours will be held after midterms to review results

### Reference week

MoTuWeThFr
8-9
9-10
10-11
11-12
12-13
13-14
14-15
15-16
16-17
17-18
18-19
19-20
20-21
21-22
Under construction

Lecture
Exercise, TP
Project, other

### legend

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