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# Lecture2 - Experiments with a Single Factor...

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Experiments with a Single Factor Intro to ANOVA / Cotton Tensile  Strength Example Lecture2.ppt D.A. Schaub, Univ. of Florida

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Background for Chapter 3 We’ve discussed comparison of two  conditions, using paired comparison tests This could be called a single factor  experiment with two levels of the factor Now we’ll look at a single factor  experiment with  a  levels  (or  a  treatments)
One-Way (Single Factor) ANOVA Observation Treatment  y 11  y 12  y 13  …  y 1n  y 1 .  y 1 .  y 21  y 22  y 23  …  y 2n  y 2 .  y 2 .  …  …  …  …  …  …  …  y a1  y a2  y a3  …  y an  y a .  y a . 1 2 a Table 3-2, p. 63 Totals Σ y.. Avg. y..

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Basic ANOVA Model = = + + = n j a i y ij i ij ,..., 2 , 1 ,..., 2 , 1 ε τ μ ( 29 = = + = 0 . i th i i mean treatment i τ τ μ μ 0 ... : ... : 2 1 0 2 1 0 = = = = < = = = a a H or H τ τ τ μ μ μ Eqn. 3-2, p.64 i one least at for H i . . . . . 0 : 1 τ Fixed Effect Model
ANOVA Partition of Total Variability ( 29 ( 29 ( 29 [ ] 2 1 1 . .. .

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