Design of experiments

MICRO-110 / coefficient 3

Enseignant: Subramanian Vivek

Langue: Anglais

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

Resources

Virtual desktop infrastructure (VDI)

Yes

Moodle Link

Dans les plans d'études

  • Semestre: Printemps
  • Forme de l'examen: Ecrit (session d'été)
  • Matière examinée: Design of experiments
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 1 Heure(s) hebdo x 14 semaines
  • Type: obligatoire

Semaine de référence

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