Advanced Design of Experiments

Paper Code: 
STT 423(A)
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
Objective: 

Objective: This is an advanced course in Design of Experiments that aims at describing some advanced level topics for students who wish to pursue research in Design of Experiments. This course prepares students for undertaking research in this area.

 

Students will able to

Course

Learning outcomes (at course level

Learning and teaching strategies

Assessment Strategies

 

Paper Code

Paper Title

STT-423(A)

Advanced Design of Experiments

CO 114: Analyze the data and also identify the appropriate design.

 

CO 115: Construct the design for the provided data and also check their applications. 

 

CO 116: Plan and execute screening experiments to select factors that affect the process

 

CO 117: Analyze the results and also able to research in Design of experiments.

 

CO 118: Examine factors at three levels and mixed levels.

Approach in teaching:

Interactive Lectures,

Group Discussion,

Classroom Assignment

Problem Solving Sessions

 

Learning activities for the students:

Assignments

Seminar

Presentation

Subject based  Activities

Classroom Quiz

Assignments

Class Test

Individual Presentation

 

15.00
Unit I: 
Unit-I

Desirable properties of a good design: orthogonality, connectedness and balancing. Various optimality criteria and their interpretations. Relation between blocks of incomplete block designs, duality, resolvability and affine resolvability. 

15.00
Unit II: 
Unit-II

Finite Group and finite field, finite geometry projective and Euclidean., Finite geometry and different method of mols, inter and intra block analysis of BIBD. Constructions of orthogonal Latin squares - (i) for prime power numbers and (ii) by Mann-Mechneish theorem

15.00
Unit III: 
Unit-III

Group divisible design. Lattice Design, Linked Block Design, Two-associate PBIBD, association scheme and intra block analysis.

15.00
Unit IV: 
Unit-IV

Fractional Factorial Design, Orthogonal and balanced arrays and their connections with confounded and fractional confounded

15.00
Unit V: 
Unit-V

Response surface design: orthogonality, rotatibility and blocking, construction and analysis, method of steepest ascent.

Essential Readings: 

 

● Dey, A & Mukerjee, R. (1999). Fractional Factorial Plans, John Wiley.

● Atkinson ,A.C. and Donev.A.N.(1992): Optimal Experimental Design, Oxford University Press.

● Raghava, Rao.(1971): Construction and Combinatorial Problems in Design of Experiments, John Wiley.

● Chakravarti, M.C.(1962): Mathematics of Design of Experiments, Asia Publishing House.

References: 

SUGGESTED READINGS:

● John, P.W.N.(1971): Statistical Design and Analysis of Experiments, Mc Millan.

● Khuri,A.N. and Cornell, M.(1991): Response Surface Methodology, Marchell & Decker.

● Shah, K.R. and Sinha, B.K.(1989): Theory of Optimal Design, Springer-Verlog.

● Dey, Alok,(1988):Theory of Block Designs, John Wiley & Sons

e-RESOURCES:

· https://epgp.inflibnet.ac.in/

· https://www.academia.edu/

· https://www.slideshare.net/

JOURNALS:

· Sankhya The Indian Journal of Statistics, Indian Statistical Institute

· Aligarh Journal of Statistics, Department of Statistics and Operations Research, Aligarh Muslim University

· Afrika Statistika, Saint-Louis Senega University

· International Journal of Statistics and Reliability Engineering, Indian Association for Reliability and Statistic

· Journal of the Indian Society for Probability and Statistics, Indian Society for Probability and Statistics

· Journal of the Indian Statistical Association, Indian Statistical Association

· Statistica, Department of Statistical Sciences Paolo Fortunato, University of Bologna

· Statistics and Applications, Society of Statistics, Computer and Applications

· Stochastic Modeling and Applications, MUK Publications and Distributions

Academic Year: 
2023-2024
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