MIE364S_T_10_11 - MIE364H1S Methods of Quality Control and...

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MIE364H1S Methods of Quality Control and Improvement Course Instructor: Prof. V. Makis Tutorial #10 1. A chemical product is produced in a pressure vessel. A factorial experiment is carried out in the pilot plant to study the factors thought to influence the filtration rate of this product. The four factors are temperature (A), pressure (B), concentration of formaldehyde (C), and stirring rate (D). Each factor is present at two levels, and the process engineer is interested in maximizing the filtration rate. The data obtained are shown below. Treatment Combination Filtration Rate (gal/hr) (1) 45 a 71 b 48 ab 65 c 68 ac 60 bc 80 abc 65 d 43 ad 100 bd 45 abd 104 cd 75 acd 86 bcd 70 abcd 96 a. The experimenter can only run 8 treatment combinations in one day. Construct a design with two blocks of eight observations each with ABCD confounded. Analyze the data. b. Suppose now that is was necessary to run this 2 4 design in four blocks with ABC and ACD (and consequently BD) confounded. Analyze the data. 2. Consider the 2 6 design in eight blocks of eight runs each with ABCD, ACE, and ABEF as the independent effects chosen to be confounded with blocks. Generate the design. Find the other effects confounded with blocks.
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MIE364S_T_10_11 - MIE364H1S Methods of Quality Control and...

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