Advanced Design of Experiments

Paper Code: 
STT 143(A)
Credits: 
4
Contact Hours: 
60.00
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.

 

12.00
UNIT I

Finite group and finite field, finite geometry-projective and Euclidean. Construction of complete set of mols, lattice designs and their analyses, construction of BIBDs using mols, finite geometry and difference method of lose, inter and intra-block analyses of a BIBD.

 

12.00
UNIT II

Two-associate PBIB designs, association scheme and intra-block analysis, group divisible designs, dual and linked block designs resolvable and affine-resolvable designs, general row-column designs connectedness and intra-block analysis. 

 

12.00

UNIT III

Fractional factorial designs, orthogonal and balanced arrays and their connections with confounded and fractional factorials. Response surface designs- orthogonality, rotatability and blocking, construction and analysis, method of steepest ascent.

12.00
UNIT IV

Experiments with mixtures models: analysis and designs. Optimum designs-various optimality criteria and their interpretations, regression designs-exact and approximate designs, optimal linear and quadratic regression designs over [-1, 1].

 

12.00
UNIT V

Equivalence Theorem (statement and simple applications only 1,optimality of BIBD, optimal chemical balance weighing designs, Optimality of 2 factor designs. Repeated measurements designs (first order residual effects-analysis)

 

Essential Readings: 

Books Recommended/References:

 

  • Raghavarao, D. (1971) Construction and combinatorial problems in Design of Experiments, John Wiley.
  • Khuri, A. I.; Cornell, J. A. (1987), Response surfaces (Design and Analysis), Marcel Dekker.
  • Dey, A. (1985), Orthogonal fractional factorial Designs, Wiley Eastern Ltd.
  • Das, M. N.; Giri, N. C. (1986) Design and analysis of experiments. Wiley Estern (2nd edition)
  • Ghosh S.; Rao, C. R. (1996) (Editors), Design and Analysis of Experiments. Elsevier
  • Pukelsheim, F. (1993), Optimal Design of Experiments, John Wiley.
  • Shah, K.R.; Sinha, B.K.(1989) Theory of Optimal designs, Springer Verlag
Academic Year: 
2022-2023
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