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Lec 04 - 2k exp design

# Lec 04 - 2k exp design - Product and Process Design and...

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Product and Process Design and Improvement Designed Experiments for Continuous Improvement Quality is most effective early in the process Experimentation vs. Testing Experimentation: systematic evaluation of alternatives vs. Testing: Here is the prototype. Let's try it by conducting field tests. It has some problems, now let's try something to fix the problems

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Basic Components of an Experiment QUESTION FACTORS LEVELS PERFORMANCE MEASURES ex) Food processing - beef cubes in gravy Factors Levels 1. Time low=10, high=20 2. Temperature low=300, high=350 Performance Measures: 2
1. Yield 2. Color 3

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More about Levels and Performance Measures Levels: should be different enough to matter should be reasonable values - not extremes can be categorical or continuous Performance Measures: higher the better lower the better target is best multiple conflicts 4
Goals of An Experiment 1. Determine significant FACTORS 2. MODEL performance measure as a function of the factors 3. OPTIMIZE performance 5

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Example of a Model Model Y b b x b x x = + + + 0 1 1 12 1 2 ε where ε N( 0, σ Y ) Performance measure r.v. Y = yield, i.e., percent of original weight in final product bigger is best Factors x 1 Time x 2 Temperature Which are random variables? Y and ε are r.v. E Y b b x b x x ( ) = + + 0 1 1 12 1 2 V Y Y ( ) = σ 2 6
x 1 , x 2 , b 0 , b 1 , b 2 are parameters - known constants 7

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Factor Levels are Coded Factor -1 +1 x 1 temp 300 0 F 350 0 F x 2 time 20 mins 30 mins
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Lec 04 - 2k exp design - Product and Process Design and...

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