Coming soon
Advanced Design of Experiments
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.
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.
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.
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].
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)
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
