Six-sigma14 - DOE Analysis Steps The following are the...

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1 DOE Analysis Steps The following are the basic steps in a DOE analysis. 1. Look at the data. Examine it for outliers, typos and obvious problems. Construct as many graphs as you can to get the big picture. Response distributions ( histograms , box plots , etc.) Typical DOE plots (which assume standard models for effects and errors) Main effects mean plots i nteraction plots 2. Create the theoretical model (the experiment should have been designed with this model in mind!). 3. Create a model from the data. Simplify the model, if possible, using stepwise regression methods and/or parameter p-value significance information. 4. Test the model assumptions using residual graphs. If none of the model assumptions were violated, examine the ANOVA. Simplify the model further, if appropriate. If reduction is appropriate, then return to step 3 with a new model. If model assumptions were violated, try to find a cause. Are necessary terms missing from the model? Will a transformation of the response help? If a transformation is used, return to step 3 with a new model. 5. Use the results to answer the questions in your experimental objectives -- finding important factors, finding optimum settings, etc.
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3 15 10 5 0 A B C AC AB BC Pareto Chart of the Standardized Effects (response is Yield, Alpha = .10) A: Temperat B: Pressure C: Concentr Analysis of Variance for Yield, using Adjusted SS for Tests Source DF Seq SS Adj SS Adj MS F P Temperat 1 1104.50 1104.50 1104.50 245.44 0.041 Pressure 1 72.00 72.00 72.00 16.00 0.156 Concentr 1 8.00 8.00 8.00 1.78 0.410 Temperat*Pressure 1 0.50 0.50 0.50 0.11 0.795 Temperat*Concentr 1 0.50 0.50 0.50 0.11 0.795 Pressure*Concentr 1 0.00 0.00 0.00 0.00 1.000 Error 1 4.50 4.50 4.50 Total 7 1190.00
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4 Concentratio Pressure Temperature 1 - 75 70 65 60 55 Yield Main Effects Plot - LS Means for Yield
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5 1 - 70 60 50 70 60 50 70 60 50 Temperature Pressure Concentratio 1 -1 1 -1 1 -1 Interaction Plot - LS Means for Yield
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6 Fractional Factorial Fit: Yield versus Temperature, Pressure, . .. Estimated Effects and Coefficients for Yield (coded units) Term Effect Coef SE Coef T P Constant 64.000 0.7500 85.33 0.007 Temperat 23.500 11.750 0.7500 15.67 0.041 Pressure -6.000 -3.000 0.7500 -4.00 0.156 Concentr 2.000 1.000 0.7500 1.33 0.410 Temperat*Pressure 0.500 0.250 0.7500 0.33 0.795 Temperat*Concentr -0.500 -0.250 0.7500 -0.33 0.795 Pressure*Concentr -0.000 -0.000 0.7500 -0.00 1.000 Yield = 64.0 + 11.75xTemp - 3.0xPressure
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Six-sigma14 - DOE Analysis Steps The following are the...

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