Lecture4 - Introduction to Factorial Designs Diane Schaub,...

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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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This note was uploaded on 08/27/2011 for the course EIN 4905 taught by Professor Staff during the Spring '08 term at University of Florida.

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Lecture4 - Introduction to Factorial Designs Diane Schaub,...

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