Olsen et al. (2014) performed a 16-run 210−6 III fractional factorial in 10 factors labeled A, B, C, D, E, F, G, H, J, and K. The purpose was to identify factors in the synthesis of an Al-modied anatase catalyst support that aect the nal properties. The generators for the design were E = ABCD, F = BCD, G = ACD, H = CD, J = ABD, and K = ABC. The response properties measured on the resulting catalyst supports were Surface Area, Pore Diameter, and Pore Volume. The end goal was to identify factors that would allow the researchers to synthesize catalyst supports with dierent pore diameters while keeping Surface Area and Pore Volume as large as possible. The data for the three responses are shown in standard order in the table below.

(a) Calculate a saturated set of eects for each of the three responses and determine the aliases up to two factor interactions for each calculated eect.

(b) Use graphical methods to determine the important eects.

(c) Can any conclusions be drawn? What do you recommend be done next?

Transcribed Image Text:

Run Surface Area Pore Diameter Pore Volume 1 49.6 6.4 0.11 2 66.8 5.7 0.12 3 103.9 6.11 0.21 4567 4 61.0 7.6 0.16 375.4 3.5 0.33 332.0 3.5 0.35 203.0 3.7 0.20 8 176.7 6.5 0.31 9 123.4 10.1 0.36 10 368.6 3.6 0.31 11 168.7 15.6 0.52 12 150.4 12.3 0.49 13 123.5 12.1 0.41 14 94.9 17.3 0.46 15 308.1 14.9 0.84 16 93.7 15.3 0.41