Optimality Criteria in Experimental Designs

We want to find an optimal design in experimental block designs. In this paper, we have studied the relationship among A-optimality, D-optimality and E-optimality, also -optimality and Criterias of them. Especially we comment the outline of optimality and terminologys in section 1, arrange the reduced normal equation for parameter estimation of model in section 2 and handle the theory of above optimalities by the optimal criterias in section 3. Finally, for readers, we have attached a representative example of A-optimality with simulation tables.