MIE364S_T_11_11 - MIE364H1S Methods of Quality Control and...

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MIE364H1S Methods of Quality Control and Improvement Course Instructor: Prof. V. Makis Tutorial #11 1. Consider the filtration rate experiment in Tutorial #5. Suppose that it was only possible to run a one-half fraction of the 2 4 design. Construct the design and perform the statistical analysis. 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 2. An automotive part contained several components that were riveted together. The tensile strength of the part was an important quality characteristic. The product engineers responsible for the design of the part planned an experiment to determine how various configurations of the components affected tensile strength. The seven factors considered are: rivet height (A), plate diameter (B), plate thickness (C), stem rivet diameter (D), stem rivet length (E), bushing diameter (F), and bushing thickness (G). The data are shown below. A B C D E F G Tensile Strength - - - + + + - 513 + - - - - + + 461 - + - - + - + 488 + + - + - - - 481 - - + + - - + 523 + - + - + - - 558 - + + - - + - 532 + + + + + + + 546
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a. Write out the alias structure for this design. What is the resolution of this design? b. Analyze the data. What factors influence the mean tensile strength? 3. A replicated fractional factorial is used to investigate the effect of five factors on the free height of leaf springs used in an automotive application. The factors are A = furnace temperature, B = heating time, C = transfer time, D = hold down time, and E = quench oil temperature. The data are shown below. A B C D E - - - - - 7.78 7.78 7.81 + - - + - 8.15 8.18 7.88 - + - + - 7.5 7.56 7.5 + + - - - 7.59 7.56 7.75 - - + + - 7.54 8 7.88 + - + - - 7.69 8.09 8.06 - + + - - 7.56 7.52 7.44 + + + + - 7.56 7.81 7.69 - - - - + 7.5 7.25 7.12 + - - + + 7.88 7.88 7.44 - + - + + 7.5 7.56 7.5 + + - - + 7.63 7.75 7.56 - - + + + 7.32 7.44 7.44 + - + - + 7.56 7.69 7.62 - + + - + 7.18 7.18 7.25 + + + + + 7.81 7.5 7.59 a. Write out the alias structure for this design. What is the resolution of this design? b. Analyze the data. What factors influence mean free height? c. Analyze the residuals from this experiment and comment on your findings.
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This note was uploaded on 03/31/2012 for the course MIE 364 taught by Professor Makis during the Spring '12 term at University of Toronto.

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MIE364S_T_11_11 - MIE364H1S Methods of Quality Control and...

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