2a) When will you use the 2 full factorial design in the design of an 2b) When w

Question

2a) When will you use the 2 full factorial design in the design of an 2b) When will you use the 22 Fractional Factorial Design in the design of an experiment ? 2c) When will you use the La7 design in the design of an en , 1 12-1 !, scres s&.cwre 2d) Provide interpretations for the following output of a regression analysis performed on DOE data generated from an experiment. The model was developed by analyzing the data from a scientifically derived experiment using the Least Squares Linear Regression Method hat M Distance Factor Const Coeff PI2 Tail) Tol 10.00 0 0.0000 0.1500 1x Pressure 12.00 0.0000 1 x 20.00 0.0000 1 25.00 0.5000 12.50 0.0000 1x B. Temp Cone Speed 1x Stirring Rate Machine Type 30.00 0.3000 1x Voltage Applied 8.50 0.1000 1x 1x Current Density 20.00 0.000o 09102 0.8917 16.4452 49.3869 Adj R Std Error Specify: I. The significant model variables: I1. The regressin mol indicating impotant mod indices and the significance of the model terms or the model elements at the 5% level. -tgfd.ts.ssuoltasatpirut20k IIl. The degreeof association of the model:91o2 a. i.e. the Coefficient of Determination.

Explanation / Answer

We will use the 25-2 Fractional Factorial Design when there are 5 factors of interest each having 2 levels. The five factor 252 can be generated by using a full three factor factorial experiment involving three factors and then choosing to confound the two remaining factors.

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