ISE 426-526 - Lecture 11 - Fractional Factorial Designs

ISE 426-526 - Lecture 11 - Fractional Factorial Designs -...

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1 ISE 426/526 Lecture 11 – 2007 Return & Review Mid-Term Exam Two-Level Fractional Factorial Designs Mid-Term Exam Results
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2 Mid-Term Exam Review Mid-Term Exam Review
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3 Mid-Term Exam Review Mid-Term Exam Review
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4 Blocking Factorial Designs – Review Blocking Factorial Designs - Review
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5 Fractional Factorial Designs • Only run a portion (fraction) of the complete factorial • Used for screening Foundational Ideas • Sparsity of effects • Projection property • Sequential experimentation
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6 2 k-1 Designs - Definitions • Generator – Effect selected to develop/specify design • Defining relation – set of all columns equal to the identity column I Contrast Constants for a 2 3 Design Run Trt Combo I A B AB C AC BC ABC 1( 1 ) 1- 11- 111- 1 2a 1 1 -1 1 1 3b 11 4a b 1 1 1 1 5c 6a c 1 1 1 1 7b c 1 8a b c 11111111
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7 2 k-1 Designs 2 k-1 Designs
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8 Design Resolution • Defines the level of aliasing in design • Resolution III Designs • Resolution IV Designs • Resolution V Designs Resolution III Designs • Main Effects are not aliased with main effects • Main Effects are aliased with 2-factor interactions • 2-factor interactions are aliased with 2 factor interactions
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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 11 - Fractional Factorial Designs -...

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