An experimenter used the following design for studying five variables in eight runs in four blocks of size 2. (a) By reordering
the runs, write down the design matrix in four blocks of size 2. This design matrix should contain five columns and eight rows. Indicate which two run numbers occur in each block.
A design in which all levels of each independent variable are combined with all levels of the other independent variables. A factorial design allows investigation of the separate main effects and interactions of two or more independent variables.