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Lecture

Introduction to Factorial Designs.pdf

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Department
Statistics
Course
STAT368
Professor
Douglas Wiens
Semester
Winter

Description
103 14. Introduction to Factorial Designs • We study the e ects of two or more factors, each at several levels.A Factorial Design has obser- vations at all combinations of these levels. • Example. Batteries are of two types (‘1’ and ‘2’; = 2 levels of Factor A) and their lifetimes may depend on the temperature at which they are used (LO = ‘1’, HI=‘2’; = 2 levels of factor B). = 4 observations are made at each of the 2 2 (=factors ) combinations of levels. The = 16 observations are made in random order, so this is also a CRD. Temperature level (B) Type (A) 1 (LO) 2 (HI) 1 130 155 74 180 20 70 82 58 2 150 188 159 126 25 70 58 45 We see the e ect of changing one factor, while leaving the other xed, by plotting the means ¯ at the 4 combinations. 104 y
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