Coming soon
Advanced Design of Experiment
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.
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.
Finite Group and finite field, finite geometry projective and Euclidean. Finite geometry and different method of mols, inter and intra block analysis of BIBD.Construction of orthogonal latin squares- (i) for Prime Power numbers and (ii) by Mann- Mechneish theorem.c
Group divisible design. Lattice Design, Linked Block Design, Two-associate PBIBD, association scheme and intra block analysis, resolvable and affine resolvable design
Fractional Factorial Design, Orthogonal and balanced arrays and their connections with confounded and fractional confounded
Response surface design: orthogonality, rotatibility and blocking, construction and analysis, method of steepest ascent.
Books Recommended/Reference Books
1. Dey, A & Mukerjee, R. (1999). Fractional Factorial Plans, John Wiley.
2. Atkinson ,A.C. and Donev.A.N.(1992): Optimal Experimental Design, Oxford University Press.
3. Raghava, Rao.(1971): Construction and Combinatorial Problems in Design of Experiments, John Wiley.
4. Chakravarti, M.C.(1962): Mathematics of Design of Experiments, Asia Publishing House.
5. John, P.W.N.(1971): Statistical Design and Analysis of Experiments, Mc Millan.
6. Khuri,A.N. and Cornell, M.(1991): Response Surface Methodology, Marchell & Decker.
7. Shah, K.R. and Sinha, B.K.(1989): Theory of Optimal Design, Springer-Verlog.
8. Dey, Alok,(1987):Theory of Block Designs, John Wiley & Sons
