Using MATLAB:

2. Generate the following experimental designs for the polymerization system. In each case comment on the design, D, and report the number of runs required to implement the design. It is not necessary to report the design matrix D (a) 2-level full factorial design: D-fullfact ([2 2 2 2 2 2 2]) 2-3; (b) 4-level full factorial design: D-fullfact ([4 4 4 444 4]) (2/3)-(5/3); Note: The fullfact function returns designs with levels assigned the numbers 1,2...n where n is the number of levels. The additional math operations to generate D scale the full factorial design to the interval 1...1 to be consistent with designs generated with other Matlab func- tions and to meet the requirements of the cstrdesign function. (c) 2e fractional factorial designs for k-3,4,5,6 gens-fracfactgen ('ab cdef g',k); D-fracfact(gens); 2. Generate the following experimental designs for the polymerization system. In each case comment on the design, D, and report the number of runs required to implement the design. It is not necessary to report the design matrix D (a) 2-level full factorial design: D-fullfact ([2 2 2 2 2 2 2]) 2-3; (b) 4-level full factorial design: D-fullfact ([4 4 4 444 4]) (2/3)-(5/3); Note: The fullfact function returns designs with levels assigned the numbers 1,2...n where n is the number of levels. The additional math operations to generate D scale the full factorial design to the interval 1...1 to be consistent with designs generated with other Matlab func- tions and to meet the requirements of the cstrdesign function. (c) 2e fractional factorial designs for k-3,4,5,6 gens-fracfactgen ('ab cdef g',k); D-fracfact(gens)