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# Lecture4 - Introduction to Factorial Designs © Diane...

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Unformatted text preview: Introduction to Factorial Designs © Diane Schaub, University of Florida Lecture3.ppt Lecture3.ppt © Diane Schaub, University of Florida What are Factorial Designs? Used for simultaneous study of two or more factors. All possible combinations of the levels of the factors are investigated in each complete trial or replication of the experiment For example, if there are a levels of factor A, and b levels of factor B, each replicate contains all ab treatment combinations. Lecture3.ppt © Diane Schaub, University of Florida Two-Factor Example Suppose we have a two-factor experiment with both design factors at two levels. Two levels are called “low” and “high” and denoted “ –” and “ +”, respectively - (Low) + (High) + (High)- (Low) Factor A Factor B 52 40 30 20 Figure 5-1, p. 171 [The response y is shown at the corners of the cube] Lecture3.ppt © Diane Schaub, University of Florida Calculating Average Response 40 52 20 30 21 2 2 30 52 20 40 11 2 2 A B + + =- = + + =- = Main Effects 1-- + 2 +-- 3- +- 4 + + + A B AB (1) = 20 a = 40 b = 30 ab = 52 Lecture3.pptLecture3....
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Lecture4 - Introduction to Factorial Designs © Diane...

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