D-Optimal and D-Efficient Equivalent-Estimation Second-Order Split-Plot Designs
چکیده
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Several industrial experiments are set up using second-order splitplot designs (SPDs). These experiments have two types of factors: whole-plot (WP) factors and sub-plot (SP) factors. WP factors, also called hard-to-change factors are factors whose levels are hard or expensive to
Many industrial experiments involve restricted rather than complete randomization. This often leads to the use of split-plot designs, which limit the number of independent settings of some of the experimental factors. These factors, named whole-plot factors, are often, in some wa
Restricting the randomization of hard-to-change factors in industrial experiments is often performed by employing a split-plot design structure. From an economic perspective, these designs minimize the experimental cost by reducing the number of resets of the hard-tochange factor
Fractional factorial designs are used widely in screening experiments to identify significant effects. It is not always possible to perform the trials in a complete random order and hence, fractional factorial split-plot designs arise. In order to identify optimal fractional fact
We introduce a new method for generating optimal split-plot designs. These designs are optimal in the sense that they are efficient for estimating the fixed effects of the statistical model that is appropriate given the split-plot design structure. One advantage of the method is