Design OF Experiments-Factorial Experiments, STAT-7126

Introduction

Purpose of introducing this course is to provide advance aspect of analyzing experiments that are composed of different treatments under different levels. This course aims how to manage factorial experiments, how to analyze these experiments under limited resources and material by providing wide range of information of concept of blocking and controlling features of designs. This course is composed of different resolution of design, replicated design, response surface methodology, steepest methods and advance robust designs like cross arrayed designs and Taguchi methods.

Learning Outcomes

At the completion of the course, the student will be able to 

  • design and run the experiments for research in real life.
  • interpret the results for limited resources experiment as well as optimization using response surface methodology.
  • carry on theoretical as well as mathematical reseach in design of experiments.

Recommended Books

1.   Montgomery, D. C., (2012). Design and Analysis of Experiments.8th edition, John Wiley, New York.
2.   Boniface, D. R., (1995). Experimental Design and Statistical Methods.Chapman and Hall.

Evaluation Criteria

Sessional: 20

Assignment: 10
Presentation: 10
Mid Term Test: 30 
Final Exam: 50

Time Table Reg: Monday 10:00 - 01:00pm

 

Week

                                  Topics and Readings
1.
A review and analysis with unequal subclass numbers
2.
2n and 3n factorial experiments
3.
Mixed factorial experiments
4.
Blocking factorial design
5.
Estimation of model parameters
6.
Fractional replication and alias structure
7.
Resolution III, IV and V design
8.
Unreplicated factorial designs
9.
Lenth’s method, Danial method
10.
Analysis of Response surfaces methods (RSM)/designs
11.
Series of experiments in time and space
12.
1st order and 2nd order model, Method of steepest ascent, Blocking in RSM
13.
Saturated designs and their analysis
14.
Nested Designs: two stage and general-m stage
15.
Robust designs and Taguchi methods
16.
Review of important topics
 

Course Material

Other Courses by Mr. Muhammad Zubair