Design of Experiments

Paper Code: 
24STT224
Credits: 
6
Contact Hours: 
90.00
Max. Marks: 
100.00
Objective: 

The students would be exposed to concepts of Design of Experiments so as to enable them to understand the concepts involved in planning, designing their experiments and analysis of experimental data.

 

Course Outcomes: 

Course

Course Outcomes

Learning and teaching strategies

Assessment Strategies

Course Code

Course Title

24STT224

Design of Experiments

(Theory)

CO 53: Deal with any type of data, check their normality assumptions.

CO 54: Identify the behavior of the experimental unit and recognize issues of non-independence and apply appropriate design.

CO 55: Analyze the design having interaction effects and the problem with minimum sources.

CO 56: Analyze the non-orthogonal design and deal with the problem related to missing values in the real world situation.

CO 57: Construct a design using different factors, also take decisions on the output of the design and identify the outliers.

CO 58: 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.

 

18.00
Unit I: 
Principles and Basic Designs of Experiments

Principles of design of experiments, uniformity trails, need of design of experiments, complete analysis of completely randomized design, randomized block design.

 

18.00
Unit II: 
Analysis of CRD, RBD and LSD

Complete analysis of Latin Square Design. Analysis of covariance. Missing plot technique in RBD and LSD, Efficiency of CRD, RBD and LSD. Multiple comparisons test: Tukey, Student-Newmann-Kuel and Duncan.

 

18.00
Unit III: 
Factorial Experiments and Confounding

Factorial Experiment 2n and 3n, Confounding: Total and partial confounding. Construction of confounded factorial experiments belonging to 2 n.

 

18.00
Unit IV: 
Non-Orthogonal Designs

Non orthogonal data: analysis of missing plot. Split plot and strip plot designs. Balanced incomplete block design (intra - block analysis).

 

18.00
Unit V: 
Construction of Mutually Orthogonal Latin Square, BIBD

Construction of complete sets of mutually orthogonal Latin square. Construction of BIBD using mols. Simple methods of construction of BIB designs. Constructions of symmetrical fractional factorial experiments.

 

Essential Readings: 
  • Cochran, W.G. & Cox, G.M. (1959): Experimental Designs, 2nd Ed. John Wiley.
  • Dean, A.M. & Voss, D. (1999): Design and Analysis of Experiments, Springer.
  • Federer, WT. (1985): Experimental Designs, MacMillan.
  • Fisher, R.A. (1966): Design and Analysis of Experiments, Oliver & Boyd, eighth edition.
  • Nigam, A.K. & Gupta, V.K. (1979):  Handbook on Analysis of Agricultural
  • Experiments, IASRI Publ.
  • Alok dey (1988): Theory of Block Design,Violester Willey Eastern
  • Alok Dey (1999): Fraction Fractorial Plans, John Wiley & sons

 

SUGGESTED READINGS:

  • Das, M. N. and Giri C. (2002): Design and Analysis of Variance, John Wiley & sons Inc.
  • John P.W.M. (1999): Statistical Design and Analysis of Variance, society for industrial mathematics
  • Raghava, Rao. (1971): Construction and Combinatorial Problems in Design of Experiments, John Wiley.
  • Dey, Alok (1987): Theory of Block Designs, John Wiley & Sons
  • Joshi, D.D. (2003): Linear Estimation and Design of Experiments, 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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