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q3_steps_in_rd_soln3

# q3_steps_in_rd_soln3 - 16.881 Robust System Design Solution...

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16.881 – Robust System Design Solution to Quiz #3 Steps in Robust Design (Data Analysis) The factor effect plots below represent the results of an orthogonal array based matrix experiment. 1) How many total experiments were required to gather the data represented in the figures assuming one noise factor with two levels in the outer array and no replicates? The data represents 4 control factors with 3 levels each. The required degrees of freedom are therefore 1+(3-1)*4=9DOF This experiment happens to fit the L 9 (3 4 ) exactly. A noise strategy including one noise factor in an outer array with no replicates will require just two eperiments per row of the L 9 for a total of 18 experiments . 2) Which control factor should be used as the scaling factor assuming the additive model holds? Factor C is the best choice for scaling factor. A good scaling factor should have minimal effect on the S/N ratio. So you’re looking for a flat line on the control factor plot for S/N ratio. A good scaling factor should also have a strong effect on the mean so that it

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