ISE 426-526 - Lecture 5 - 2^2 Factorials & Helicopter Experiment

ISE 426-526 - Lecture 5 - 2^2 Factorials & Helicopter Experiment

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1 ISE 426-526 Lecture 5 - 2007 Introduction to 2 2 Factorial Designs Helicopter Experiment Factorial Designs Experimental Designs CRD RBD Single Factor Multiple Factors RCBD Incomplete Block Designs Single Factor Multiple Factors
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2 Factorial Designs • Experiments involving 2 or more factors • Efficient approach which evaluates all combinations of factors levels The Goal of Factorial Experiments • When we design factorial experiments our goal is, generally, to learn about the factors and their interrelationships with respect to the response.
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3 The 2 2 Factorial Design (1) a ba b A B Treatment Combinations -1 1- 1 1 11 2 2 Factorial Experiment • The Model • The Hypotheses:
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4 The Cookie Experiment Factorial Effects • Main Effects – Change in the response produced by a change in the level of the factor • Interactions – Change in response produced by changing two or more factors at the same time – If there is interaction means that the response between the levels of one factor is not the same at all levels of the other factors
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5 The 2 2 Plus/Minus Table Run Trt Combo A B AB ContrastA ContrastB ContrastAB 1( 1 ) -1 1 2a 1- 1 3b 1 4a b 111 Calculation of Effects Estimates
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6 Analysis of the Cookie Experiment – Contrasts Interaction Plots – Cookie Data
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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 5 - 2^2 Factorials & Helicopter Experiment

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