example # 1 (i have solution of example 1 but it is for referance)

A company that manufactures can-forming equipment wants to set up an experiment to help understand the factors influencing surface finish on a particular steel subassembly. Three factors were chosen to be varied in the experiments. The factors were: 1 Low LevelHigh Level Factor Name A - RPM B - Feed Rate C Tool Radius 588 .004 1/64 1182 .008 1/32 a) Generate a tree diagram which represents the possible combinations of a full factorial at two levels. b) Generate a design matrix representing the possible combinations c) Suppose changing the tool radius requires an 8-hour teardown procedure. Discuss strategies for limiting the number of times tool radius must be changed. Suppose the part being machined is 4130 preheated steel. The part is a 1" diameter rod which is 4" long. Should the part be measured at one point or several points? Discuss various d) approaches for making multiple measures on the part.

example 2

The company in the previous example decides to test an 8-run full factorial design with 3 factors at 2 levels. A brainstorming session conducted with the operator, supervisor, and engineer resulted in the finished part being measured at 4 places. (Two measures were taken on each end 180 degrees from each other.) The designed and resultant response values were: Run Feed Rate Tool Radius Surface Finish .004 1/64 RPM 588 588 588 .004 1/32 50, 50, 55, 50 145, 150, 100, 110 160, 160, 155, 160 .008 1/64 588 .008 1/32 180, 200, 190, 195 5 1182 .004 1/64 60, 60, 60,55 6 1182 .004 1/32 25, 35, 35, 30 .008 1/64 160, 160, 160, 160 7 8 1182 1182 .008 1/32 80, 70, 70, 80 a) Calculate the averages, effects, and half effects for all factors and interactions. Plot the average values for each factor. b) Generate a Pareto chart of the absolute value of each half effect. Which effects appear to be most important. c) Generate an interaction plot for any interactions with large effects. d) What are the best settings for the factors to achieve this objective? e).