This course discusses the replication, randomisation, blocking, and definitions in experimental design (experiment, treatment, factor, level, experimental unit, experimental design, random, replicate).
Completely randomised design: randomisation, analysis of variance, equal replication and unequal replication, estimation of the model parameters, comparison of individual treatment means: comparing of pair treatment means, comparing with a control, orthogonal contrast.
Randomised block design: blocking, randomised block design, model and assumptions, missing values, relative efficiency. Latin square design incomplete block design: balanced incomplete block designs, partially balanced incomplete block designs.
Factorial experiments (designs): general factorial experiments, 2k, 3k factorial experiment, confounding, regression analysis, response surface: method of steepest ascent, analysis of the second-order model, location of the stationary point, designs for fitting the first-order and second-order models, mixture experiments.
