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Design For Six Sigma DOE – Full Factorial Designs Class Exercise: Formula Fuelers ®
Background Information: ,[object Object],[object Object],[object Object]
Background Information: ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],2 – 4 ; depending on the size of the class
Setting-up the Experiment ,[object Object],[object Object],[object Object]
Setting-up the Experiment A  =  1 part coffee  +  1 part water B  =  1 part juice  +  2 parts water C  =  soda (e.g. Sprite ® ) Liquid
Setting-up the Experiment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The Experiment: Full Factorial Design ,[object Object],[object Object],[object Object],[object Object],[object Object],Liquid A Liquid B Liquid C Distance   to the nearest ¼ inch.
Setting-Up the Experiment in Minitab
Setting-up the Experiment in Minitab
Treatments: How Much of Each Liquid? A B C A ml B ml C ml Total ml -1 -1 -1 0 0 0 0 1 -1 -1 6 0 0 6 -1 1 -1 0 6 0 6 1 1 -1 3 3 0 6 -1 -1 1 0 0 6 6 1 -1 1 3 0 3 6 -1 1 1 0 3 3 6 1 1 1 2 2 2 6
Launching the Motorcycle Push this power button.  There will be a 2 second delay.
Response Variable: Measuring Distance Note: Motorcycle may not follow a straight line! Top View of Motorcycle Measure distance from start position to center of front-wheel to the closest 0.25 inch Starting Position
Procedure For Running Experiment ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Team Roles: Who Does What? Task 2 People 3 People 4 People Pick up motorcycle and remove fuel tank Person 1 Person 3 Person 1 Open cap and pour out the contents in the fuel tank Person 1 Person 1 Person 1 Collect samples of each liquid as specified per observation Person 1 Person 1 Person 2 Pour mixture into fuel tank and close the cap Person 1 Person 1 Person 2 Insert fuel tank into motorcycle Person 2 Person 1 Person 2 Position motorcycle on the floor in starting position Person 2 Person 2 Person 3 Press the power button and wait 2 seconds Person 2 Person 2 Person 3 Watch the vehicle run.  Make sure it doesn't hit anything.       When the it stops, take a measurement of how far it traveled Person 2 Person 3 Person 1 Enter the results into Minitab Person 2 Person 3 Person 4
Example of Experiment Data Collected
Analyze Results
Analyze Results
Analyze Results
Factorial Fit: DistInches versus Factor A, Factor B, Factor C  Estimated Effects and Coefficients for DistInches (coded units) Term  Effect  Coef  SE Coef  T  P Constant  86.91  0.3652  237.98  0.000 Factor A  47.19  23.59  0.3652  64.61  0.000 Factor B  47.02  23.51  0.3652  64.38  0.000 Factor C  -22.85  -11.43  0.3652  -31.29  0.000 Factor A*Factor B  -20.35  -10.18  0.3652  -27.87  0.000 Factor A*Factor C  -5.23  -2.61  0.3652  -7.16  0.000 Factor B*Factor C  -3.81  -1.91  0.3652  -5.22  0.000 Factor A*Factor B*Factor C  60.06  30.03  0.3652  82.24  0.000 S = 1.78900  R-Sq = 99.91%  R-Sq(adj) = 99.86% Analysis of Variance for DistInches (coded units) Source  DF  Seq SS  Adj SS  Adj MS  F  P Main Effects  3  29759.6  29759.6  9919.9  3099.45  0.000 2-Way Interactions  3  2737.0  2737.0  912.3  285.06  0.000 3-Way Interactions  1  21645.0  21645.0  21645.0  6762.97  0.000 Residual Error  16  51.2  51.2  3.2 Pure Error  16  51.2  51.2  3.2
Analyze Results
Analyze Results
Do Any of the Lines Intersect?
Which Factor Has the Steepest Slope?
Cube Plots: Determine Settings to Meet Goal
Hitting A Target ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

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Formula Fueler Design Of Experiments Class Exercise

  • 1. Design For Six Sigma DOE – Full Factorial Designs Class Exercise: Formula Fuelers ®
  • 2.
  • 3.
  • 4.
  • 5. Setting-up the Experiment A = 1 part coffee + 1 part water B = 1 part juice + 2 parts water C = soda (e.g. Sprite ® ) Liquid
  • 6.
  • 7.
  • 10. Treatments: How Much of Each Liquid? A B C A ml B ml C ml Total ml -1 -1 -1 0 0 0 0 1 -1 -1 6 0 0 6 -1 1 -1 0 6 0 6 1 1 -1 3 3 0 6 -1 -1 1 0 0 6 6 1 -1 1 3 0 3 6 -1 1 1 0 3 3 6 1 1 1 2 2 2 6
  • 11. Launching the Motorcycle Push this power button. There will be a 2 second delay.
  • 12. Response Variable: Measuring Distance Note: Motorcycle may not follow a straight line! Top View of Motorcycle Measure distance from start position to center of front-wheel to the closest 0.25 inch Starting Position
  • 13.
  • 14. Team Roles: Who Does What? Task 2 People 3 People 4 People Pick up motorcycle and remove fuel tank Person 1 Person 3 Person 1 Open cap and pour out the contents in the fuel tank Person 1 Person 1 Person 1 Collect samples of each liquid as specified per observation Person 1 Person 1 Person 2 Pour mixture into fuel tank and close the cap Person 1 Person 1 Person 2 Insert fuel tank into motorcycle Person 2 Person 1 Person 2 Position motorcycle on the floor in starting position Person 2 Person 2 Person 3 Press the power button and wait 2 seconds Person 2 Person 2 Person 3 Watch the vehicle run. Make sure it doesn't hit anything.       When the it stops, take a measurement of how far it traveled Person 2 Person 3 Person 1 Enter the results into Minitab Person 2 Person 3 Person 4
  • 15. Example of Experiment Data Collected
  • 19. Factorial Fit: DistInches versus Factor A, Factor B, Factor C Estimated Effects and Coefficients for DistInches (coded units) Term Effect Coef SE Coef T P Constant 86.91 0.3652 237.98 0.000 Factor A 47.19 23.59 0.3652 64.61 0.000 Factor B 47.02 23.51 0.3652 64.38 0.000 Factor C -22.85 -11.43 0.3652 -31.29 0.000 Factor A*Factor B -20.35 -10.18 0.3652 -27.87 0.000 Factor A*Factor C -5.23 -2.61 0.3652 -7.16 0.000 Factor B*Factor C -3.81 -1.91 0.3652 -5.22 0.000 Factor A*Factor B*Factor C 60.06 30.03 0.3652 82.24 0.000 S = 1.78900 R-Sq = 99.91% R-Sq(adj) = 99.86% Analysis of Variance for DistInches (coded units) Source DF Seq SS Adj SS Adj MS F P Main Effects 3 29759.6 29759.6 9919.9 3099.45 0.000 2-Way Interactions 3 2737.0 2737.0 912.3 285.06 0.000 3-Way Interactions 1 21645.0 21645.0 21645.0 6762.97 0.000 Residual Error 16 51.2 51.2 3.2 Pure Error 16 51.2 51.2 3.2
  • 22. Do Any of the Lines Intersect?
  • 23. Which Factor Has the Steepest Slope?
  • 24. Cube Plots: Determine Settings to Meet Goal
  • 25.