Factorial Designs

Factorial Designs - Introduction to Factorial-Based...

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11/23/2009 1 Introduction to Factorial-Based Experiments Chapter 7.1 The 2² Factorial Design Uses 2 factors that are thought to influence a single response variable. Ex. – The effect of reaction temperature and pressure on the strength of polymer fibers. Each Factor has two levels. E.g. . High and Low reaction temperature High an d Low reaction pressure Example Researchers studied the effect of moisture and furnace temperature on the flue gasses produced when pine wood was burned. The concentration of carbon monoxide was viewed as the response of interest. A 2² factorial experiment was conducted using the following levels: - Wood moisture (0% “bone dry”, 22.2%) - Furnace temperature (1100K, 1500K) x₁ = {-1, if moisture content is 0% x₁ = {1, if moisture content is 22.2% x₂ = {-1, if the temperature is 1100K x₂ = {1, if the temperature is 1500K
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11/23/2009 2 Possible Factor Combinations x₁ x₂ -1 -1 1 -1 -1 1 1 1 Model where is the CO concentration for the ith test run. is the y-intercept
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Factorial Designs - Introduction to Factorial-Based...

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