ISE 426-526 - Lecture 12 - Fractional Factorial Designs Part 2

ISE 426-526 - Lecture 12 - Fractional Factorial Designs Part 2

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1 ISE 426/526 Lecture 12 - 2007 More on Two-Level Fractional Factorial Designs One Quarter Fraction of the 2 k Design •2 k-2 • 2 Generators • Procedure: – Write down design for a full k-2 factorial – Identify the generators and their signs – Associate the last two columns with their aliases • Table 8-9 pg. 297 - Design • Table 8-8 pg. 297 – Alias Structure
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2 Design Example 1 Design Example 2
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3 Using Minitab • Stat Menu –DOE • Create Factorial Design – Choose 2-level factorials (specify generator) » Select k-2 factors (if 4 factors choose 3, etc.) » Select Design Button » Select Full Factorial » Select Generators – Input aliases for last 2 factors
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4 Minitab Output StdOrder RunOrder CenterPt Blocks A B C D E Response 181 1 - 1 - 1 - 1 1 1 2 3 1 1 1 -1 -1 -1 -1 3 7 11- 1- 11 4 4 1111- 1 5 5 111- 1 6 1 7 6 1 821 1 1 1 1 1 1 Example 8-4 Term Effect Coef Constant 27.313 A 13.875 6.937 B 35.625 17.812 C -0.875 -0.437 D 1.375 0.688 E 0.375 0.187 F 0.375 0.187 A*B 11.875 5.938 A*C -1.625 -0.813 A*D -5.375 -2.688 A*E -1.875 -0.937 A*F 0.625 0.313 B*D -0.125 -0.062 B*F -0.125 -0.063 A*B*D 0.125 0.062 A*B*F -4.875 -2.437 Effect Percent 40 30 20 10 0 99 95 90 80 70
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This note was uploaded on 11/22/2009 for the course ISE 526 taught by Professor Farrington during the Summer '07 term at University of Alabama - Huntsville.

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ISE 426-526 - Lecture 12 - Fractional Factorial Designs Part 2

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