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. 

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)