Advanced Design of Experiments

Paper Code: 
24STT423(A)
Credits: 
5
Contact Hours: 
75.00
Max. Marks: 
100.00
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.

 

Course Outcomes: 

Course

Course Outcomes

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

24STT423(A)

Advanced Design of Experiments

(Theory)

CO 130: Analyze the data and apply incomplete block design to the data.

CO 131: Construct the design for the provided data using finite fields and MOLS. 

CO 132: Plan and execute screening experiments to select factors that affect the process.

CO 133: Analyze and apply research in Design of Experiments.

CO 134: Examine factors at three levels and mixed levels.

CO 135: Contribute effectively in course-specific interaction.

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: 
Properties and Criteria of Good Design

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: 
Finite Geometry and Orthogonal Latin Squares

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: 
Advanced Block Designs

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

 

15.00
Unit IV: 
Fractional Factorial Design

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

 

15.00
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.

 

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:

 

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: 
2024-2025
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