2x2 Factorial Analysis Examples

2x2 Factorial Analysis Examples - If so what factors should...

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2k Factorial Analysis Examples 7.12 Shina (1991) conducted an experiment to determine the impact of wave width (x1), direction (x2), flux (x3), and angle (x4) on the average number of short leads per batch produced by a wave-soldering process for printed circuit boards. The table gives the results. x1 x2 x3 x4 y -1 -1 -1 -1 6 -1 -1 -1 -1 10 1 -1 -1 -1 9.5 1 -1 -1 -1 6.75 -1 1 -1 -1 20 -1 1 -1 -1 17.25 1 1 -1 -1 26.7 1 1 -1 -1 10.3 -1 -1 1 -1 1.5 -1 -1 1 -1 1.75 1 -1 1 -1 0.75 1 -1 1 -1 3.25 -1 1 1 -1 9.67 -1 1 1 -1 5.67 1 1 1 -1 7.3 1 1 1 -1 9 -1 -1 -1 1 10 -1 -1 -1 1 8.5 1 -1 -1 1 6 1 -1 -1 1 6.25 -1 1 -1 1 16.5 -1 1 -1 1 19.5 1 1 -1 1 19.3 1 1 -1 1 17.7 -1 -1 1 1 0.25 -1 -1 1 1 4.25 1 -1 1 1 3.5 1 -1 1 1 6.5 -1 1 1 1 2 -1 1 1 1 3.75 1 1 1 1 6 1 1 1 1 8.7 a. Estimate all of the main effects.

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b. Does interaction occur? c. Should the model be simplified?
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Unformatted text preview: If so, what factors should be removed? 2. An experiment was conducted to determine the effects of certain alloying elements on the ductility of a metal, and the following results were obtained: Nickel % Carbon % Manganese % Breaking strenth 0.3 0.5 36.7 0.3 0.5 39.6 0.3 0.5 38.2 0.3 1 47.5 0.3 1 43.5 0.3 1 45.9 0.6 0.5 40.6 0.6 0.5 36.8 0.6 0.5 36 0.6 1 41.1 0.6 1 45.8 0.6 1 46.4 4 0.3 0.5 37.8 4 0.3 0.5 32.7 4 0.3 0.5 31.6 4 0.3 1 34.2 4 0.3 1 37.2 4 0.3 1 36.5 4 0.6 0.5 39.5 4 0.6 0.5 41.7 4 0.6 0.5 39.1 4 0.6 1 46.4 4 0.6 1 43.7 4 0.6 1 49.4...
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2x2 Factorial Analysis Examples - If so what factors should...

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