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Activity Number: 203
Type: Contributed
Date/Time: Monday, August 10, 2015 : 11:35 AM to 12:20 PM
Sponsor: Quality and Productivity Section
Abstract #317719
Title: Graphical Ruggedness Testing Using an Unreplicated 3-Cubed Factorial Experiment
Author(s): John McCool*
Companies: Penn State Great Valley
Keywords: Ruggedness Testing ; Robustness Testing ; 3 cubed Factorial ; Graphical Plots
Abstract:

Ruggedness or Robustness tests are used to demonstrate that a response such as the result of a chemical determination is unaffected by selected external factors when they vary over a defined range. Most published work on ruggedness testing relies on the graphical display of the computed effects in unreplicated or fractionally replicated two level factorial experiments. The present work extends graphical analysis to the case where three factors are examined at three levels each. The method is applicable to higher order three level designs. It is well known that the treatment sum of squares in a 3 cubed factorial experiment may be decomposed into 13 two degree of freedom components. If the factors have no effect, the square root of the 13 mean squares, will follow a Weibull distribution with a scale parameter equal to the standard deviation of the response and a shape parameter of 2. To test whether the factors have an effect on the response one may, among several options, examine a Weibull plot of the rms values of the two degree of freedom components


Authors who are presenting talks have a * after their name.

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