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Original Articles

A Bubble Mixture Experiment Project for Use in an Advanced Design of Experiments Class

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Figures & data

Figure 1: A Two Dimensional View of the Three Component Mixture Experimental Region. All mixtures must lie on or inside the triangle whose equation is S+W+G=1

Figure 1: A Two Dimensional View of the Three Component Mixture Experimental Region. All mixtures must lie on or inside the triangle whose equation is S+W+G=1

Figure 2: Bubble Experiment Cause-and-Effect Diagram.

Figure 2: Bubble Experiment Cause-and-Effect Diagram.

Figure 3: Constrained Experimental Region G ≤ 0.15, S ≤ 0.35, 0.5 ≤ W ≤ 0.98

Left panel shows constrained region relative to complete simplex. Right panel shows the constrained region in close-up.

Figure 3: Constrained Experimental Region G ≤ 0.15, S ≤ 0.35, 0.5 ≤ W ≤ 0.98Left panel shows constrained region relative to complete simplex. Right panel shows the constrained region in close-up.

Figure 4: Proposed Mixture Design Showing the 12 Mixture Proportions.

Figure 4: Proposed Mixture Design Showing the 12 Mixture Proportions.

Figure 5: Plot of Number of Bubbles in Each Repeat by Run Solid Line Showing the Average Count at Each Run.

Figure 5: Plot of Number of Bubbles in Each Repeat by Run Solid Line Showing the Average Count at Each Run.

Figure 6: Total Bubble Count (across the five repeats) Versus Mixture Combination Left plot: Solid circle = Spring, Open circle = Tap for Water noise factor. Right plot: Solid circle = Joy, Open circle = Ivory for Soap noise factor.

Figure 6: Total Bubble Count (across the five repeats) Versus Mixture Combination Left plot: Solid circle = Spring, Open circle = Tap for Water noise factor. Right plot: Solid circle = Joy, Open circle = Ivory for Soap noise factor.

Figure 7: Deviance Residuals From Reduced Quadratic Model Versus Run Order and Fitted Values.

Figure 7: Deviance Residuals From Reduced Quadratic Model Versus Run Order and Fitted Values.

Figure 8: Contour Plots Showing the Predicted Number of Bubbles Per Repeat

Left panel: Ivory soap, Right panel: Joy soap Asterisk in plot gives the maximum prediction.

Figure 8: Contour Plots Showing the Predicted Number of Bubbles Per RepeatLeft panel: Ivory soap, Right panel: Joy soap Asterisk in plot gives the maximum prediction.

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