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Risorsa bibliografica obbligatoria
Risorsa bibliografica facoltativa
Scheda Riassuntiva
Anno Accademico 2019/2020
Scuola Scuola di Ingegneria Industriale e dell'Informazione
Insegnamento 051132 - DESIGN AND ANALYSIS OF EXPERIMENTS B
Docente Tsiamyrtzis Panagiotis
Cfu 10.00 Tipo insegnamento Monodisciplinare

Corso di Studi Codice Piano di Studio preventivamente approvato Da (compreso) A (escluso) Insegnamento
Ing Ind - Inf (Mag.)(ord. 270) - BV (483) MECHANICAL ENGINEERING - INGEGNERIA MECCANICA*AZZZZ051132 - DESIGN AND ANALYSIS OF EXPERIMENTS B
097482 - DESIGN AND ANALYSIS OF EXPERIMENTS A
Ing Ind - Inf (Mag.)(ord. 270) - MI (487) MATHEMATICAL ENGINEERING - INGEGNERIA MATEMATICA*AZZZZ097482 - DESIGN AND ANALYSIS OF EXPERIMENTS A

Obiettivi dell'insegnamento

The goal of  Design and Analysis of Experiments B (10 CFU) and A (8 CFU) courses is to enable students to design experiments and analyse their results using a State of the Art Software (MINITAB).

The students attending Design and Analysis of Experiments B (10 CFU) are required to apply the theoretical concepts  in a physical project in which they will try to improve a manufacturing process by one or more designed experiments.

 

 


Risultati di apprendimento attesi

Lectures will provide the basis for originality in applying ideas, sometimes in a research context (Knowledge and understanding) in the Design and Analysis of Experiments field

Classwork in computer room will develop the student problem solving abilities in a unfamiliar environment  (Applying Knowledge and understanding). Some problems will be proposed and the students will be required to solve them under a light guidance of a tutor.

Only for the Design and Analysis of Experiments B (10 CFU) course, in Experimental Lab, the students will be required to improve a manufacturing process. The manufacturing process will be badly defined with incomplete data and the students will tackle the problem in a manner  that will be largely self directed.(Making Judgements and Learning skills) Eventually the students will present a report containing: Context description, Project goals, Experimental design (one or more), Result analysis, Conclusions and recommendations. (Communication)


Argomenti trattati

1.  Introduction to Designed Experiments  (Chpt 1)

2.  Analysis of Variance (Chpt 3)

3.  Experiments with Blocking Factors  (Chpt 4)

4.  Factorial Experiments  (Chpt 5)

5.  Two-Level Factorial Designs   (Chpt 6)

6.  Blocking and confounding Systems for Two-Level Factorials  (Chpt 7)

7.  Two-Level  Fractional Factorial Designs  (Chpt 8)

8.  Linear Regression models (Chpt 10)
 
9. Response Surface Methodology  (Chpt 11)
 
10. Robust Design  (Chpt 12)
 
11. Random Effect Models  (Chpt 13)
 
12. Other Topics  (Chpt 15, paragraphs 15.1, 15.2)
 
13.  Only for the Design and Analysis of Experiments B (10 CFU) course, students are required to attend the Experimental Laboratory (about 2 Credits). The topic of the experimental lab will be assigned to each student group (two or three students) at the start of the course.
 

Prerequisiti

It is absolutely mandatory to have a prerequisite of a 5 credit course on basic statistics.

The statistics topics that must be known are:

  • Statistical distributions : gaussian, t-student, chi_square, Fisher distribution.
  • Confidence Interval and Tests: general framework of Confidence Intervals,  general framework of standard tests with two hypotheses (H0 and H1), p_value concept, test about one or two means, tests about one or two variances (difference and ratio)
  • Test to assess normality.

A review of these topics are in chapter 2 of the reference text. 


Modalità di valutazione

Written Test

 

The written test will verify if the students have got the Knowledge and understanding and Applying Knowledge and understanding

abilities.

In the Written test the students must solve 4 problems in computer room.

Usually:

  • in two problems the students are required to analyse one or more data set containing, sometimes, outliers or incomplete data;
  • in one problem the students are required to design an experiment and discuss its properties;
  • one problem is mainly theoretical and the students are required to prove some quite simple property not seen before.

Each problem will have a certain grade and the final test grade will be the sum of the four problem grades.

If the sum of grades is 33 the student will get a final test  grade of 30 with "lode"

If the grade equal to or  less than 10, the student must go to the next exam session.

 

Lab report

Only for the Design and Analysis of Experiments B (10 CFU) course, to check if the students got the Making JudgementsLearning skills and Communication abilities, the students are required to develop a Lab Project and present a Lab Report. 
 
In the Lab Report, students will document how they have developed their work and what results they have achieved.
The Lab Report sections will be (tentatively) :
  • Context description,
  • Project goals,
  • Experimental design (one or more),
  • Result analysis,
  • Conclusions and recommendations. 

 The Lab Report is mandatory and its assessment will follow a Pass- not Pass scheme without a grade. Students with a "not pass " assessment are required to repeat the Experimental Lab when available, perhaps jumping to the next year, depending on the availability of the Experimental laboratory.


Bibliografia
Risorsa bibliografica obbligatoriaDouglas C. Montgomery, Design and analysis of Experiments, Editore: John Wiley & Sons, Inc., Anno edizione: 2013, ISBN: 978-1-118-09793-9
Risorsa bibliografica obbligatoriaProfessor's Notes https://beep.metid.polimi.it/web/3590427/attivita-online-e-avvisi#p_

Forme didattiche
Tipo Forma Didattica Ore di attività svolte in aula
(hh:mm)
Ore di studio autonome
(hh:mm)
Lezione
42:00
63:00
Esercitazione
0:00
0:00
Laboratorio Informatico
38:00
57:00
Laboratorio Sperimentale
20:00
30:00
Laboratorio Di Progetto
0:00
0:00
Totale 100:00 150:00

Informazioni in lingua inglese a supporto dell'internazionalizzazione
Insegnamento erogato in lingua Inglese
schedaincarico v. 1.6.5 / 1.6.5
Area Servizi ICT
24/10/2020